Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB 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)

sample2.1s (20%)

Memory

14.4MiB live, 2 593.6MiB allocated

Samples

1.6s	8 256×	0	valid
6.0ms	44×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-div: 254.0ms (19.2% of total)

ival-sub: 186.0ms (14.1% of total)

const: 183.0ms (13.8% of total)

ival-mult: 166.0ms (12.5% of total)

ival-sqrt: 137.0ms (10.4% of total)

ival-add: 107.0ms (8.1% of total)

ival-<: 89.0ms (6.7% of total)

ival-exp: 63.0ms (4.8% of total)

ival-pi: 57.0ms (4.3% of total)

ival-neg: 39.0ms (2.9% of total)

ival-and: 23.0ms (1.7% of total)

exact: 15.0ms (1.1% of total)

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

Bogosity

explain341.0ms (3.3%)

Memory

14.3MiB live, 325.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))`
0	-	-	`(sqrt.f32 (PI.f32))`
0	-	-	`(PI.f32)`
0	-	-	`(*.f32 (neg.f32 cosTheta) cosTheta)`
0	-	-	`(.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)))`
0	-	-	`(+.f32 #s(literal 1 binary32) c)`
0	-	-	`cosTheta`
0	-	-	`(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))`
0	-	-	`(+.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))))`
0	-	-	`c`
0	-	-	`(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))`
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)))))`
0	-	-	`(-.f32 #s(literal 1 binary32) cosTheta)`
0	-	-	`(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)`
0	-	-	`(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))`
0	-	-	`(neg.f32 cosTheta)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f32`	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

114.0ms

512×

valid

Compiler

Compiled 407 to 76 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-sqrt: 34.0ms (35.2% of total)

ival-sub: 31.0ms (32.1% of total)

ival-div: 9.0ms (9.3% of total)

ival-mult: 9.0ms (9.3% of total)

ival-add: 5.0ms (5.2% of total)

ival-exp: 4.0ms (4.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

preprocess227.0ms (2.2%)

Memory

-13.5MiB live, 116.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	127
1	135	117
2	394	111
3	1325	110
4	3721	110
5	5376	110
6	7089	110
7	7837	110
0	18	25
0	33	25
1	59	23
2	122	22
3	242	22
4	366	22
5	743	22
6	1896	22
7	2875	22
8	3432	22
9	4062	22
10	4230	22
11	4263	22
12	4296	22
13	4430	22
14	5055	22
15	5063	22
16	5067	22
17	5067	22
0	5067	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
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)))))

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

Compiler

Compiled 25 to 18 computations (28% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(/.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)))))

Status

Accuracy

Program

▶

98.0%

(/.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)))))

Compiler

Compiled 25 to 18 computations (28% saved)

simplify142.0ms (1.4%)

Memory

-5.3MiB live, 69.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(+.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))))
cost-diff	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)))))
cost-diff	352	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	126
0	33	126
1	59	118
2	122	115
3	242	115
4	366	115
5	743	115
6	1896	115
7	2875	115
8	3432	115
9	4062	115
10	4230	115
11	4263	115
12	4296	115
13	4430	115
14	5055	115
15	5063	115
16	5067	115
17	5067	115
0	5067	108

Stop Event

1×	iter limit
1×	saturated
1×	iter 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)))))
#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)

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

localize59.0ms (0.6%)

Memory

3.7MiB live, 119.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.25390625	(/.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	0.7103784638245376	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
accuracy	1.0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))

Samples

46.0ms

256×

valid

Compiler

Compiled 254 to 38 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 6.0ms (26.1% of total)

ival-mult: 4.0ms (17.4% of total)

ival-add: 3.0ms (13.1% of total)

ival-sqrt: 3.0ms (13.1% of total)

ival-exp: 2.0ms (8.7% of total)

ival-sub: 2.0ms (8.7% of total)

ival-pi: 1.0ms (4.4% of total)

ival-neg: 1.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory

11.5MiB live, 81.4MiB allocated

Counts

6 → 58

Calls

Call 1

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

Outputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
1
(+ 1 (* -2 cosTheta))
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
(* -2 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ 1 c)
(/ 1 c)
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c)
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)
c
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))
(* c (+ 1 (/ 1 c)))
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	cosTheta	@	-inf	((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta))
7.0ms	cosTheta	@	inf	((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta))
3.0ms	c	@	-inf	((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta))
2.0ms	cosTheta	@	0	((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta))
2.0ms	c	@	0	((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta))

simplify281.0ms (2.7%)

Memory

-9.4MiB live, 234.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	3010
1	1237	2916
2	4747	2838
0	8295	2706

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

Calls

Call 1

Inputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
1
(+ 1 (* -2 cosTheta))
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
(* -2 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ 1 c)
(/ 1 c)
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c)
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)
c
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))
(* c (+ 1 (/ 1 c)))
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))

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

rewrite242.0ms (2.3%)

Memory

23.6MiB live, 262.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	73
0	33	73
1	141	66
2	1060	61
0	8673	61

Stop Event

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

Counts

6 → 530

Calls

Call 1

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

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

eval101.0ms (1%)

Memory: 20.1MiB live, 168.6MiB allocated
Compiler: Compiled 24 779 to 3 142 computations (87.3% saved)

prune39.0ms (0.4%)

Memory

-33.8MiB live, 55.0MiB allocated

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	562	21	583
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	563	21	584

Accuracy

99.9%

Counts

584 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(/.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))))
▶	92.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	14.1%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32)))))
	33.3%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))))))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) cosTheta)))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) cosTheta)))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))))
	98.4%	(/.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)))))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.8%	(/.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)))))
	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	98.3%	(/.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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	92.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
	56.3%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta))) #s(literal -1 binary32)))
	56.3%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)))
▶	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	93.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))

Compiler

Compiled 1 392 to 852 computations (38.8% saved)

simplify139.0ms (1.3%)

Memory

15.7MiB live, 168.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(/.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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	352	(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
cost-diff	0	(fma.f32 c c #s(literal -1 binary32))
cost-diff	288	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
cost-diff	512	(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))
cost-diff	0	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	0	(/.f32 #s(literal 1 binary32) c)
cost-diff	0	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) 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 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	648
0	112	648
1	187	622
2	404	613
3	935	605
4	2076	591
5	4957	589
0	8348	560

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) 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) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
cosTheta
(sqrt.f32 (PI.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)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)
c
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.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 #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) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
#s(literal 1 binary32)
(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))
(fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
(fma.f32 c c #s(literal -1 binary32))
c
#s(literal -1 binary32)
cosTheta
(.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(-.f32 c #s(literal 1 binary32))
(*.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(exp.f32 cosTheta)
(neg.f32 cosTheta)
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(PI.f32)
(*.f32 (-.f32 c #s(literal 1 binary32)) 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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.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
(cbrt.f32 (PI.f32))
(PI.f32)
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 #s(literal 1 binary32) cosTheta)
(pow.f32 (PI.f32) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)

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

localize271.0ms (2.6%)

Memory

-37.2MiB live, 364.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.25390625	(/.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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.3984375	(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
accuracy	0.5618480201165762	(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
accuracy	0.50390625	(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))
accuracy	0.78515625	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
accuracy	27.142131832372048	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
accuracy	30.581735985482293	(fma.f32 c c #s(literal -1 binary32))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.59375	(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
accuracy	0.7453466560954595	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
accuracy	1.0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	0.0	(/.f32 #s(literal 1 binary32) c)
accuracy	30.384812658323156	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
accuracy	0.10546875	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
accuracy	0.34375	(*.f32 cosTheta (sqrt.f32 (PI.f32)))

Samples

150.0ms

256×

valid

Compiler

Compiled 1 257 to 123 computations (90.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-div: 47.0ms (36.6% of total)

ival-mult: 33.0ms (25.7% of total)

ival-pow: 14.0ms (10.9% of total)

ival-add: 9.0ms (7% of total)

ival-sqrt: 9.0ms (7% of total)

ival-exp: 4.0ms (3.1% of total)

const: 4.0ms (3.1% of total)

ival-sub: 3.0ms (2.3% of total)

ival-cbrt: 2.0ms (1.6% of total)

ival-pi: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series291.0ms (2.8%)

Memory

29.7MiB live, 369.7MiB allocated

Counts

23 → 132

Calls

Call 1

Inputs
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (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) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 #s(literal 1 binary32) c)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
(fma.f32 c c #s(literal -1 binary32))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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) cosTheta)) cosTheta)
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))

Outputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (- (+ (* -1 (sqrt (/ 1 (PI)))) (/ (pow c 2) (- c 1))) (/ 1 (- c 1))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (- (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))) (/ (pow c 2) (- c 1)))) (/ 1 (- c 1))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (- (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))) (/ (pow c 2) (- c 1)))) (/ 1 (- c 1))))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1))) (- c 1)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))))) (/ (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1)))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1)))) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- c 1)))) (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))))) (/ (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1))))))
(* (sqrt (/ 1 (PI))) (- c 1))
(+ (* cosTheta (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (* (sqrt (/ 1 (PI))) (- c 1)))
(+ (* cosTheta (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (pow c 2))) 1)) (* (sqrt (/ 1 (PI))) (- c 1)))
(+ (* cosTheta (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- c 1))))))) (pow c 2))) 1)) (* (sqrt (/ 1 (PI))) (- c 1)))
1
(+ 1 (* -2 cosTheta))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta))
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
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(+ (* -1 (/ (- c 1) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))) (* 1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 3)))))) (- c 1)))) (* (sqrt 2) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 5) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))) (+ (* 1/16 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 4) (* (PI) (* (pow (sqrt 2) 4) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 3)))))) (+ (* 1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (sqrt 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2)))))))))))
(* -1 (* cosTheta (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1))))))))
(* -1 (* cosTheta (+ (* -1 (- (pow c 2) 1)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))))
(* -1 (* cosTheta (+ (* -1 (- (pow c 2) 1)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1))))))))))
(* -1 (* cosTheta (+ (* -1 (- (pow c 2) 1)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))))))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))))
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ 1 c)
(/ 1 c)
(* -1 (/ (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) cosTheta))
(+ c (* -1 (/ (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) cosTheta)))
(* -1 (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))
(+ (* -1 (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* c (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
(+ (* -1 (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* c (- (+ (* -1 (* c (+ (* -1 (/ (pow cosTheta 2) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))))) (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
(+ (* -1 (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* c (- (+ (* c (- (* -1 (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1 (/ (pow cosTheta 2) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))) (/ (* cosTheta (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))))) (+ (* -1 (/ (pow cosTheta 2) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))))) (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
(+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))
(+ (* -1 cosTheta) (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ (* -1 cosTheta) (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))
-1
(- (pow c 2) 1)
c
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c)
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)
(* c (+ 1 (/ 1 c)))
(* c (- (+ 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (/ 1 (pow c 2)))))
(* c (- (+ 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 3) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (+ (/ 1 (pow c 2)) (/ 1 (pow c 3)))))))
(/ (- (+ 1 (/ 1 (pow c 2))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) c)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) cosTheta)) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (/ 1 (pow c 2)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) c)
(* (pow c 2) cosTheta)
(* (pow c 2) (+ cosTheta (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(* (pow c 2) (+ cosTheta (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (/ cosTheta (pow c 2))) (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
(pow c 2)
(* (pow c 2) (- 1 (/ 1 (pow c 2))))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (* c (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (/ 1 c)))))
(* -1 (/ (- (/ 1 c) (+ 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (/ 1 c)) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* -1 (/ (+ (* -1 (- 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) (* -1 (/ (+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (/ (* (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) cosTheta)) c))) c))) c)) 1) c))
(* (pow c 2) (+ cosTheta (* -1 (/ (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* -1 (/ (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) c))) c))))

Calls

6 calls:

Time	Variable		Point	Expression
89.0ms	cosTheta	@	0	((+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6)))
69.0ms	cosTheta	@	-inf	((+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6)))
69.0ms	cosTheta	@	inf	((+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6)))
22.0ms	c	@	0	((+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6)))
18.0ms	c	@	-inf	((+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (cbrt (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (* cosTheta (sqrt (PI)))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (/ 1 cosTheta) (pow (PI) 1/6)))

simplify268.0ms (2.6%)

Memory

0.2MiB live, 311.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	875	8620
1	2856	8229
0	8942	7817

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 131

Calls

Call 1

Inputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (- (+ (* -1 (sqrt (/ 1 (PI)))) (/ (pow c 2) (- c 1))) (/ 1 (- c 1))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (- (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))) (/ (pow c 2) (- c 1)))) (/ 1 (- c 1))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (- (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))) (/ (pow c 2) (- c 1)))) (/ 1 (- c 1))))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1))) (- c 1)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))))) (/ (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1)))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1)))) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- c 1)))) (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))))) (/ (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1))))))
(* (sqrt (/ 1 (PI))) (- c 1))
(+ (* cosTheta (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (* (sqrt (/ 1 (PI))) (- c 1)))
(+ (* cosTheta (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (pow c 2))) 1)) (* (sqrt (/ 1 (PI))) (- c 1)))
(+ (* cosTheta (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (+ (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- c 1))))))) (pow c 2))) 1)) (* (sqrt (/ 1 (PI))) (- c 1)))
1
(+ 1 (* -2 cosTheta))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta))
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
(/ (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) (- c 1))
(- (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1)))) (/ 1 (- c 1)))
(- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1))))) (/ 1 (- c 1)))
(- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1)))))) (/ 1 (- c 1)))
(/ (- c 1) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))
(- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)))
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(* cosTheta (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))
(* cosTheta (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2))) 1))
(* cosTheta (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)))) 1))
(* cosTheta (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2))))) 1))
(* -2 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(* -1 (sqrt (/ 1 (PI))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(* (sqrt (/ cosTheta (PI))) (sqrt -2))
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))
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(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
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(* -1 (/ (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (- c 1)))
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(+ (* -1 (/ (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) (- c 1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))
(* -1 (/ (- c 1) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1))))))))
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(+ (* -1 (/ (- c 1) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))) (+ (* 1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (sqrt 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))))))
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(* -1 (* cosTheta (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1))))))))
(* -1 (* cosTheta (+ (* -1 (- (pow c 2) 1)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))))
(* -1 (* cosTheta (+ (* -1 (- (pow c 2) 1)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1))))))))))
(* -1 (* cosTheta (+ (* -1 (- (pow c 2) 1)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (- c 1))) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))))))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))))
(+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
(+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
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(+ 1 c)
(/ 1 c)
(* -1 (/ (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) cosTheta))
(+ c (* -1 (/ (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) cosTheta)))
(* -1 (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))
(+ (* -1 (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* c (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
(+ (* -1 (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* c (- (+ (* -1 (* c (+ (* -1 (/ (pow cosTheta 2) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))))) (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
(+ (* -1 (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* c (- (+ (* c (- (* -1 (* c (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1 (/ (pow cosTheta 2) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))) (/ (* cosTheta (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))))) (+ (* -1 (/ (pow cosTheta 2) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2))) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (- (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))))) (/ cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))))) (* -1 (* (/ (* cosTheta (exp (* -1 (pow cosTheta 2)))) (pow (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
(+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))
(+ (* -1 cosTheta) (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* (* c (exp (* -1 (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ (* -1 cosTheta) (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* c (+ (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))))
-1
(- (pow c 2) 1)
c
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))
(/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)
(/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c)
(/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)
(* c (+ 1 (/ 1 c)))
(* c (- (+ 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (/ 1 (pow c 2)))))
(* c (- (+ 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 3) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 2))) (+ (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (+ (/ 1 (pow c 2)) (/ 1 (pow c 3)))))))
(/ (- (+ 1 (/ 1 (pow c 2))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) c)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))))) cosTheta)) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (pow c 3))) (/ 1 (pow c 2)))) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (pow c 2) cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))) c)
(* (pow c 2) cosTheta)
(* (pow c 2) (+ cosTheta (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(* (pow c 2) (+ cosTheta (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (pow c 2)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ (* -1 (/ cosTheta (pow c 2))) (* (/ (exp (* -1 (pow cosTheta 2))) c) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
(pow c 2)
(* (pow c 2) (- 1 (/ 1 (pow c 2))))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (* c (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (/ 1 c)))))
(* -1 (/ (- (/ 1 c) (+ 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (/ 1 c)) (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (+ (* -1 (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* -1 (/ (+ (* -1 (- 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) (* -1 (/ (+ (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (+ (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (/ (* (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) (- 1 (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) cosTheta)) c))) c))) c)) 1) c))
(* (pow c 2) (+ cosTheta (* -1 (/ (+ (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2))))) (* -1 (/ (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (* -1 (pow cosTheta 2)))))) c))) c))))

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

rewrite477.0ms (4.6%)

Memory

3.2MiB live, 653.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	397
0	112	371
1	438	313
2	3181	313
0	11071	313

Stop Event

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

Counts

23 → 2 321

Calls

Call 1

Inputs
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (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) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 #s(literal 1 binary32) c)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
(fma.f32 c c #s(literal -1 binary32))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (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)) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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) cosTheta)) cosTheta)
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))

Outputs
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))))
(.f32 (pow.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (+.f32 (pow.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))) (-.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))) (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta)) (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (-.f32 c #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 c #s(literal 1 binary32)) (neg.f32 cosTheta))))
(.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (-.f32 c #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
(.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) cosTheta) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 c #s(literal 1 binary32))))
(*.f32 (pow.f32 (pow.f32 (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (+.f32 c #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (+.f32 c #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #s(literal -1 binary32)) (pow.f32 (pow.f32 (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 c #s(literal 1 binary32))) (pow.f32 (/.f32 cosTheta (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #s(literal -1 binary32)))
(.f32 (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (-.f32 c #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
(*.f32 (+.f32 (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) (-.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))))
(.f32 (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 c #s(literal 1 binary32)) (neg.f32 cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (-.f32 c #s(literal 1 binary32))))
(.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) #s(literal 1 binary32)))
(.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (+.f32 c #s(literal 1 binary32))))) #s(literal -1 binary32)))
(*.f32 (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (+.f32 c #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (+.f32 c #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (neg.f32 (-.f32 #s(literal 1 binary32) c)) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 c c))))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (-.f32 #s(literal 1 binary32) c))))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (neg.f32 (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32))))) (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (-.f32 c #s(literal 1 binary32)) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (-.f32 c #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) c)))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (fma.f32 c c (-.f32 #s(literal 1 binary32) c)) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (fma.f32 c c (-.f32 #s(literal 1 binary32) c))))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c)))))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (/.f32 (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32))) (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (neg.f32 (-.f32 #s(literal 1 binary32) c)) (.f32 (sqrt.f32 (PI.f32)) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 c c))))) (.f32 (sqrt.f32 (PI.f32)) (neg.f32 (-.f32 #s(literal 1 binary32) c))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (neg.f32 (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (PI.f32)) (neg.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32))))) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (-.f32 c #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (fma.f32 c c #s(literal -1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) c)))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))) (fma.f32 c c (-.f32 #s(literal 1 binary32) c)) (.f32 (sqrt.f32 (PI.f32)) (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 c c (-.f32 #s(literal 1 binary32) c))))
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(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))
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eval217.0ms (2.1%)

Memory: -18.8MiB live, 449.8MiB allocated
Compiler: Compiled 67 462 to 7 249 computations (89.3% saved)

prune48.0ms (0.5%)

Memory

14.6MiB live, 137.1MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 405	16	1 421
Fresh	11	5	16
Picked	3	2	5
Done	0	0	0
Total	1 419	23	1 442

Accuracy

100.0%

Counts

1 442 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.3%	(/.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))))
	91.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	62.3%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
▶	98.7%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32)))))
	92.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	46.9%	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 c #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	98.8%	(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	98.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	98.5%	(.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
	56.3%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta))) #s(literal -1 binary32)))
	54.1%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta))))
	93.0%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 #s(literal -1 binary32) c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
▶	93.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 1 656 to 1 033 computations (37.6% saved)

simplify159.0ms (1.5%)

Memory

-12.4MiB live, 180.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))))
cost-diff	64	(+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
cost-diff	192	(.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32)))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	192	(/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	160	(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	0	(PI.f32)
cost-diff	0	(sqrt.f32 (PI.f32))
cost-diff	0	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
cost-diff	0	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
cost-diff	0	(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	696
0	108	676
1	198	666
2	435	652
3	1054	649
4	2887	649
5	6899	649
0	8155	619

Stop Event

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

Calls

Call 1

Inputs
(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) 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
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
cosTheta
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta))
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (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 #s(literal 1 binary32) (/.f32 (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 #s(literal 1 binary32) (/.f32 (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 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(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) (/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32)))))
#s(literal 1 binary32)
(/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))))
(+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(cbrt.f32 (PI.f32))
(PI.f32)
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c)))
(-.f32 #s(literal 1 binary32) c)
c
(-.f32 #s(literal 1 binary32) (*.f32 c c))
(*.f32 c c)
(.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(exp.f32 cosTheta)
cosTheta
(neg.f32 cosTheta)
(*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta)
(pow.f32 (PI.f32) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32)))

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

localize243.0ms (2.3%)

Memory

6.3MiB live, 328.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.10546875	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.16015625	(/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta)
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32)))))
accuracy	0.35546875	(/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))))
accuracy	0.10546875	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.2421875	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.46633137396146435	(/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
accuracy	0.244472509768442	(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.34375	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
accuracy	0.7453466560954595	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
accuracy	0.0	(sqrt.f32 (PI.f32))
accuracy	0.0	(PI.f32)
accuracy	0.34375	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
accuracy	1.8643951822050566	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
accuracy	0.10546875	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.25390625	(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.26009750976844204	(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
accuracy	0.34375	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)

Samples

120.0ms

256×

valid

Compiler

Compiled 1 345 to 121 computations (91% saved)

Precisions

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

ival-div: 23.0ms (24.5% of total)

ival-mult: 20.0ms (21.3% of total)

ival-add: 18.0ms (19.2% of total)

ival-pow: 11.0ms (11.7% of total)

const: 6.0ms (6.4% of total)

ival-sub: 5.0ms (5.3% of total)

ival-exp: 4.0ms (4.3% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series180.0ms (1.7%)

Memory

25.1MiB live, 185.7MiB allocated

Counts

23 → 164

Calls

Call 1

Inputs
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 #s(literal 1 binary32) c)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (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 #s(literal 1 binary32) (/.f32 (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 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32)))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta)

Outputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
1
(+ 1 (* -1 cosTheta))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI)))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI)))))))))))
(* (pow 1 1/6) (* cosTheta (sqrt (PI))))
(* cosTheta (+ (* -1 (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (pow (PI) 2)))) (* (pow 1 1/6) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* -1 (* (* cosTheta (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c))))) (cbrt (PI)))))) (* (pow 1 1/6) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* cosTheta (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))))) (* -1 (* (* cosTheta (+ (* -1 (* (cbrt (PI)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (pow (- 1 (pow c 2)) 2))) (pow (- 1 c) 2)))) (+ (* -1 (* (pow (* 1 (PI)) 1/6) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (- 1 (pow c 2)))) (- 1 c)))) (* (pow (* 1 (PI)) 1/6) (/ (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2))))) (- 1 c)))))) (cbrt (PI)))))))) (* (pow 1 1/6) (sqrt (PI)))))
(* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (* cosTheta (- 1 (pow c 2)))))
(/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (* cosTheta (- 1 c)) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (* cosTheta (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* cosTheta (+ (* (pow (/ 1 (PI)) 1/6) (* cosTheta (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (* (pow (/ 1 (PI)) 1/6) (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (* cosTheta (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* cosTheta (+ (* (pow (/ 1 (PI)) 1/6) (* cosTheta (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (* (pow (/ 1 (PI)) 1/6) (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(* (pow 1 1/6) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(/ (+ (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (/ 1 (PI)))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (* cosTheta (+ (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))) (* (pow 1 1/6) (* (/ (* cosTheta (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2)))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (* cosTheta (+ (* cosTheta (+ (* (pow 1 1/6) (* (sqrt (/ 1 (PI))) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (* (pow 1 1/6) (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(+ 1 (* -2 cosTheta))
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta))
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(* -1 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 1))
(* (sqrt (* cosTheta (PI))) (sqrt -1/2))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))))
(* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))
(+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))))))
(+ (* -1 (* (/ (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (pow cosTheta 4)) (cbrt (PI)))) (+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))))
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(* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))
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(+ (cbrt (PI)) (+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 5) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))))))
(* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))
(+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))))
(* -2 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(* -1 (sqrt (/ 1 (PI))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
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(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))
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(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))
(* -1 (* cosTheta (- 1 (/ 1 cosTheta))))
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2)))
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))))
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))))
(* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- 1 c)))) (- 1 (pow c 2))))))) (- 1 (pow c 2)))))
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c
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))
(/ 1 c)
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(* c (+ 1 (/ 1 c)))
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(/ (+ 1 (+ (* -1 (* (/ (+ (* -1 (* (cbrt (/ 1 (PI))) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))))) (+ (* -1 (* (cbrt (/ 1 (pow (PI) 2))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1 (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) (pow c 3)) (cbrt (PI)))) (+ (* -1 (* (/ (+ (* -1 (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (pow c 2)) (cbrt (PI)))) (* (/ (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) c) (cbrt (PI)))))) c)
(* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))
(/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) c)
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(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (+ (cbrt (PI)) (* -1 (cbrt (PI))))) c) (cbrt (/ 1 (PI))))) (* (cbrt (/ 1 (PI))) (+ (cbrt (PI)) (* -1 (cbrt (PI)))))) c)) (* (cbrt (/ 1 (PI))) (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) c)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
51.0ms	cosTheta	@	inf	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta))))) (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (- (- 1 cosTheta) cosTheta) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (/ (pow (PI) -1/6) cosTheta))
43.0ms	cosTheta	@	0	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta))))) (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (- (- 1 cosTheta) cosTheta) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (/ (pow (PI) -1/6) cosTheta))
29.0ms	c	@	-inf	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta))))) (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (- (- 1 cosTheta) cosTheta) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (/ (pow (PI) -1/6) cosTheta))
26.0ms	cosTheta	@	-inf	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta))))) (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (- (- 1 cosTheta) cosTheta) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (/ (pow (PI) -1/6) cosTheta))
17.0ms	c	@	0	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* 1 (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta))))) (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (- (- 1 cosTheta) cosTheta) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (* 1 (- 1 cosTheta)) (* (sqrt (PI)) cosTheta)) (/ (pow (PI) -1/6) cosTheta))

simplify350.0ms (3.3%)

Memory

-19.1MiB live, 218.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1114	13187
1	3765	12586
0	8185	12112

Stop Event

1×	iter limit
1×	node limit

Counts

164 → 163

Calls

Call 1

Inputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
1
(+ 1 (* -1 cosTheta))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI)))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI)))))))))))
(* (pow 1 1/6) (* cosTheta (sqrt (PI))))
(* cosTheta (+ (* -1 (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (pow (PI) 2)))) (* (pow 1 1/6) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* -1 (* (* cosTheta (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c))))) (cbrt (PI)))))) (* (pow 1 1/6) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* cosTheta (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))))) (* -1 (* (* cosTheta (+ (* -1 (* (cbrt (PI)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (pow (- 1 (pow c 2)) 2))) (pow (- 1 c) 2)))) (+ (* -1 (* (pow (* 1 (PI)) 1/6) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (- 1 (pow c 2)))) (- 1 c)))) (* (pow (* 1 (PI)) 1/6) (/ (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2))))) (- 1 c)))))) (cbrt (PI)))))))) (* (pow 1 1/6) (sqrt (PI)))))
(* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (* cosTheta (- 1 (pow c 2)))))
(/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (* cosTheta (- 1 c)) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (* cosTheta (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* cosTheta (+ (* (pow (/ 1 (PI)) 1/6) (* cosTheta (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (* (pow (/ 1 (PI)) 1/6) (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (* cosTheta (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* cosTheta (+ (* (pow (/ 1 (PI)) 1/6) (* cosTheta (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (* (pow (/ 1 (PI)) 1/6) (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(* (pow 1 1/6) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(/ (+ (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (/ 1 (PI)))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (* cosTheta (+ (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))) (* (pow 1 1/6) (* (/ (* cosTheta (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2)))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (* cosTheta (+ (* cosTheta (+ (* (pow 1 1/6) (* (sqrt (/ 1 (PI))) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (* (pow 1 1/6) (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(+ 1 (* -2 cosTheta))
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta))
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(* -1 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 1))
(* (sqrt (* cosTheta (PI))) (sqrt -1/2))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))))
(* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))
(+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))))))
(+ (* -1 (* (/ (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (pow cosTheta 4)) (cbrt (PI)))) (+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))))
(+ (* -1 (* (/ (+ (* -1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt cosTheta) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (- 1 c))) (* (sqrt -2) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))))) (+ (* 1/16 (* (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 4) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 5)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 5) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))))) (pow cosTheta 6)) (cbrt (PI)))) (+ (* -1 (* (/ (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (pow cosTheta 4)) (cbrt (PI)))) (+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))))))))
(* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))
(+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2))))))
(+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))))
(+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 5) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2))))))))
(+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2))))))
(+ (cbrt (PI)) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))))
(+ (cbrt (PI)) (+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2))))))))
(+ (cbrt (PI)) (+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 5) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))))))
(* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))
(+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))))
(* -2 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(* -1 (sqrt (/ 1 (PI))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))
(* -1 (* cosTheta (- 1 (/ 1 cosTheta))))
(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2)))
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))))
(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (+ (* -1/64 (/ (* cosTheta (PI)) (pow (sqrt 1/2) 2))) (* 1/16 (PI)))) (sqrt 1/2)))) (* -1/16 (* (sqrt (* cosTheta (PI))) (/ (sqrt -1) (sqrt 1/2))))) (pow cosTheta 3))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))))
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c
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))
(/ 1 c)
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(* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))
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(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
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(* -1 (/ (- (* -1 (/ (+ (* (cbrt (PI)) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) c) (cbrt (PI)))) c)) 1) c))
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(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (+ (cbrt (PI)) (* -1 (cbrt (PI))))) c) (cbrt (/ 1 (PI))))) (* (cbrt (/ 1 (PI))) (+ (cbrt (PI)) (* -1 (cbrt (PI)))))) c)) (* (cbrt (/ 1 (PI))) (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) c)) 1)))

Outputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/.f32 (fma.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
(/.f32 (fma.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(*.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
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(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
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(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
1
#s(literal 1 binary32)
(+ 1 (* -1 cosTheta))
(-.f32 #s(literal 1 binary32) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))
(*.f32 (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal -3 binary32) (PI.f32)) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3 binary32) (PI.f32) (.f32 (fma.f32 #s(literal -8 binary32) (PI.f32) (*.f32 #s(literal 3 binary32) (PI.f32))) cosTheta)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* (pow 1 1/6) (* cosTheta (sqrt (PI))))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (* -1 (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (pow (PI) 2)))) (* (pow 1 1/6) (sqrt (PI)))))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta)
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* -1 (* (* cosTheta (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c))))) (cbrt (PI)))))) (* (pow 1 1/6) (sqrt (PI)))))
(.f32 (fma.f32 (neg.f32 (fma.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) cosTheta) (cbrt.f32 (PI.f32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* cosTheta (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))))) (* -1 (* (* cosTheta (+ (* -1 (* (cbrt (PI)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (pow (- 1 (pow c 2)) 2))) (pow (- 1 c) 2)))) (+ (* -1 (* (pow (* 1 (PI)) 1/6) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (- 1 (pow c 2)))) (- 1 c)))) (* (pow (* 1 (PI)) 1/6) (/ (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2))))) (- 1 c)))))) (cbrt (PI)))))))) (* (pow 1 1/6) (sqrt (PI)))))
(.f32 (fma.f32 (fma.f32 (neg.f32 (.f32 (cbrt.f32 (PI.f32)) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (.f32 (-.f32 (fma.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (/.f32 (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (.f32 (/.f32 (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) c) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) cosTheta)))) cosTheta (.f32 (neg.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (* cosTheta (- 1 (pow c 2)))))
(.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))))
(/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (* cosTheta (- 1 c)) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) c) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) cosTheta)
(/ (+ (* cosTheta (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (* cosTheta (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (.f32 (neg.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))))) cosTheta (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) cosTheta)
(/ (+ (* cosTheta (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* cosTheta (+ (* (pow (/ 1 (PI)) 1/6) (* cosTheta (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (* (pow (/ 1 (PI)) 1/6) (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c)))) cosTheta))) cosTheta) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) cosTheta (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) cosTheta (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* (pow (/ 1 (PI)) 1/6) (* cosTheta (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/.f32 (fma.f32 (+.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (.f32 (neg.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))))) (cbrt.f32 (PI.f32))) cosTheta (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) cosTheta)
(/ (+ (* cosTheta (+ (cbrt (PI)) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) (* cosTheta (+ (* (pow (/ 1 (PI)) 1/6) (* cosTheta (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (* (pow (/ 1 (PI)) 1/6) (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))))))))) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))) cosTheta)
(/.f32 (fma.f32 (+.f32 (-.f32 (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c)))) cosTheta))) cosTheta) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (cbrt.f32 (PI.f32))) cosTheta (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) cosTheta)
(* (pow 1 1/6) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/ (+ (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (/ 1 (PI)))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/.f32 (fma.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (* cosTheta (+ (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))) (* (pow 1 1/6) (* (/ (* cosTheta (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2)))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (.f32 cosTheta (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (* cosTheta (+ (* cosTheta (+ (* (pow 1 1/6) (* (sqrt (/ 1 (PI))) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (* (pow 1 1/6) (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
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(+ 1 (* -2 cosTheta))
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(* (pow (/ 1 (PI)) 1/6) (/ 1 cosTheta))
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
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(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
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(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
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(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
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(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (.f32 (pow.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) cosTheta) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 cosTheta #s(literal 4 binary32))) #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
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(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))))
(* -1 cosTheta)
(neg.f32 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) cosTheta)
(* (sqrt (* cosTheta (PI))) (sqrt -1/2))
(.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (.f32 (PI.f32) cosTheta)))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))
(.f32 (fma.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) #s(literal -1/8 binary32))) cosTheta)
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))
(.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (*.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)))) cosTheta)
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))))
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(* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))
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(fma.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (*.f32 c c)))))
(+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))))
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(+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 5) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2))))))))
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(+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2))))))
(fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (cbrt.f32 (PI.f32)))
(+ (cbrt (PI)) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))))
(+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (*.f32 c c))))) (cbrt.f32 (PI.f32)))
(+ (cbrt (PI)) (+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2))))))))
(+.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (*.f32 c c)))))) (cbrt.f32 (PI.f32)))
(+ (cbrt (PI)) (+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 3) (- 1 (pow c 2))))))) (+ (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 7))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (pow (sqrt -2) 5) (- 1 (pow c 2))))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (- 1 c)) (* (sqrt -2) (- 1 (pow c 2))))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))))))
(+.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (fma.f32 (.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c))))))) (cbrt.f32 (PI.f32)))
(* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))
(.f32 (.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (.f32 (.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))))
(fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (.f32 (.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))))
(fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32))))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 #s(literal -2 binary32))) (.f32 (.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(* -2 cosTheta)
(*.f32 #s(literal -2 binary32) cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta)
(* -1 (sqrt (/ 1 (PI))))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
(-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal 2 binary32))) (.f32 (neg.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 #s(literal 2 binary32))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))
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(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))
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(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))
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(* -1 (* cosTheta (- 1 (/ 1 cosTheta))))
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(* (sqrt (* cosTheta (PI))) (* (sqrt -1) (sqrt 1/2)))
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(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2)))))))
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(* -1 (* cosTheta (+ (* -1 (* (sqrt (/ (PI) cosTheta)) (* (sqrt -1) (sqrt 1/2)))) (+ (* 1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ (sqrt -1) (sqrt 1/2)))) (* 1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ (sqrt -1) (sqrt 1/2))))))))
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(cbrt (PI))
(cbrt.f32 (PI.f32))
(+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta))))))
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(* c (+ 1 (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))))
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(* c (+ 1 (+ (* (/ (- (* -1 (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) (pow c 2)) (cbrt (/ 1 (PI)))) (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI)))))))
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(* c (+ 1 (+ (* (/ (- (* -1 (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) (pow c 2)) (cbrt (/ 1 (PI)))) (+ (* (/ (- (* -1 (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (- (* -1 (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))))) (pow c 3)) (cbrt (/ 1 (PI)))) (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))))))
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
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(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(/.f32 (fma.f32 (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32) #s(literal 1 binary32)) c)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
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(* -1 (/ (- (* -1 (* (/ (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) c) (cbrt (PI)))) 1) c))
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(* -1 (/ (- (* -1 (/ (+ (* (cbrt (PI)) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) c) (cbrt (PI)))) c)) 1) c))
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))))) (* (/ (+ (* -1 (* (cbrt (/ 1 (PI))) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))))) (+ (* (cbrt (/ 1 (pow (PI) 2))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c) (cbrt (PI)))) c)) (* (cbrt (PI)) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) c)) 1) c))
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(* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))) c))
(/.f32 (neg.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 cosTheta c))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (neg.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta))))) c)
(* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))) c))) c))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 cosTheta c))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (neg.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)))) c)))) c)
(* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))) c))) c))) c))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (neg.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 cosTheta c))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (neg.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)))) c))) c)))) c)
(+ (cbrt (PI)) (* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))) c)))
(-.f32 (cbrt.f32 (PI.f32)) (/.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 cosTheta c))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (neg.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)))) c))
(+ (cbrt (PI)) (* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* -1 (/ (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (- 1 (* 2 cosTheta)))))) c))) c)))
(-.f32 (cbrt.f32 (PI.f32)) (/.f32 (neg.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 cosTheta c))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (neg.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)))) c))) c))
(* -1 (* c (- (* -1 (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))) 1)))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) c) (neg.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -1 binary32)))
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (/ (+ (cbrt (PI)) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))) (* (cbrt (/ 1 (PI))) (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) c)) 1)))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) (neg.f32 (/.f32 #s(literal 0 binary32) c)))) c) #s(literal -1 binary32) #s(literal -1 binary32)))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (+ (cbrt (PI)) (* -1 (cbrt (PI))))) c) (cbrt (/ 1 (PI))))) (* (cbrt (/ 1 (PI))) (+ (cbrt (PI)) (* -1 (cbrt (PI)))))) c)) (* (cbrt (/ 1 (PI))) (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) c)) 1)))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (neg.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) c) #s(literal 0 binary32)))) c)) c) #s(literal -1 binary32) #s(literal -1 binary32)))

rewrite273.0ms (2.6%)

Memory

15.8MiB live, 217.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	435
0	108	387
1	434	351
2	2831	351
0	8462	351

Stop Event

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

Counts

23 → 947

Calls

Call 1

Inputs
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 #s(literal 1 binary32) c)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (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 #s(literal 1 binary32) (/.f32 (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 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32)))))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(/.f32 (+.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (cbrt.f32 (PI.f32))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta)

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

eval304.0ms (2.9%)

Memory: -1.0MiB live, 297.3MiB allocated
Compiler: Compiled 72 035 to 7 171 computations (90% saved)

prune345.0ms (3.3%)

Memory

-126.4MiB live, 117.4MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1 461	16	1 477
Fresh	11	5	16
Picked	3	2	5
Done	0	2	2
Total	1 475	25	1 500

Accuracy

100.0%

Counts

1 500 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) (+.f32 c #s(literal 1 binary32))))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.8%	(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	93.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* 1 (- 1 cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (+.f32 cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (+.f32 cosTheta #s(literal 1 binary32)))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	92.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	56.1%	(.f32 (/.f32 (/.f32 (cbrt.f32 (PI.f32)) (+.f32 c #s(literal 1 binary32))) (-.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal 2 binary32)))) (-.f32 (cbrt.f32 (PI.f32)) (/.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))))
	56.3%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32)))) (cbrt.f32 (PI.f32)))
	90.4%	(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (cbrt.f32 (PI.f32))) (+.f32 (/.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (cbrt.f32 (PI.f32))))) #s(literal -1 binary32)))
	93.0%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 #s(literal -1 binary32) c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
▶	96.3%	#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta))
	93.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
✓	93.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 1 797 to 1 156 computations (35.7% saved)

simplify126.0ms (1.2%)

Memory

10.6MiB live, 172.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c)))
cost-diff	64	(-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))
cost-diff	128	(-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))))
cost-diff	544	(.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	64	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	320	(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))
cost-diff	0	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
cost-diff	0	(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
cost-diff	0	#s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	352	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	970
0	137	970
1	244	936
2	558	931
3	1619	913
4	5789	871
0	8449	826

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.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 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.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 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta))
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)
(sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(PI.f32)
(-.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) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(literal 1 binary32)
#s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal 1 binary32) (PI.f32))
(PI.f32)
cosTheta
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
cosTheta
(/.f32 #s(literal 1 binary32) cosTheta)
(*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(+.f32 cosTheta #s(literal 1 binary32))
(sqrt.f32 (PI.f32))
(PI.f32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta)
(-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))))
(sqrt.f32 (PI.f32))
(PI.f32)
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c))))
(cbrt.f32 (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))
cosTheta
(/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))
(.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c)))
(-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))
(cbrt.f32 (PI.f32))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c)))
(-.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)
c
(-.f32 #s(literal 1 binary32) (*.f32 c c))
(*.f32 c c)
(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))
(/.f32 #s(literal 1 binary32) (PI.f32))
#s(literal 1/6 binary32)

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

localize198.0ms (1.9%)

Memory

36.6MiB live, 422.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta)
accuracy	0.5280075195368841	(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c))))
accuracy	0.8875410792054887	#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	0.08984375	(*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.4404771454454434	(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
accuracy	0.7453466560954595	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
accuracy	0.244472509768442	(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.34375	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
accuracy	0.7453466560954595	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
accuracy	0.65234375	(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
accuracy	1.0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	1.8516293645966986	#s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
accuracy	0.10546875	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.2421875	(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta))
accuracy	0.25390625	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.30078125	(*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)

Samples

140.0ms

256×

valid

Compiler

Compiled 1 783 to 153 computations (91.4% saved)

Precisions

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

ival-mult: 32.0ms (28.7% of total)

ival-div: 25.0ms (22.4% of total)

ival-pow: 15.0ms (13.4% of total)

ival-sub: 8.0ms (7.2% of total)

const: 8.0ms (7.2% of total)

ival-sqrt: 7.0ms (6.3% of total)

ival-add: 6.0ms (5.4% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series128.0ms (1.2%)

Memory

-3.9MiB live, 275.9MiB allocated

Counts

30 → 202

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.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 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c)))
(-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))))
(-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c)))
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
(*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c))))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta)

Outputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
(* (pow 1 1/6) (* cosTheta (sqrt (PI))))
(* cosTheta (+ (* -1 (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (pow (PI) 2)))) (* (pow 1 1/6) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* -1 (* (* cosTheta (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c))))) (cbrt (PI)))))) (* (pow 1 1/6) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* cosTheta (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))))) (* -1 (* (* cosTheta (+ (* -1 (* (cbrt (PI)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (pow (- 1 (pow c 2)) 2))) (pow (- 1 c) 2)))) (+ (* -1 (* (pow (* 1 (PI)) 1/6) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (- 1 (pow c 2)))) (- 1 c)))) (* (pow (* 1 (PI)) 1/6) (/ (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2))))) (- 1 c)))))) (cbrt (PI)))))))) (* (pow 1 1/6) (sqrt (PI)))))
(* (pow 1 1/6) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(/ (+ (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (/ 1 (PI)))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (* cosTheta (+ (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))) (* (pow 1 1/6) (* (/ (* cosTheta (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2)))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (* cosTheta (+ (* cosTheta (+ (* (pow 1 1/6) (* (sqrt (/ 1 (PI))) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (* (pow 1 1/6) (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(/ 1 cosTheta)
(/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta)
(sqrt (PI))
(+ (sqrt (PI)) (* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI)))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI)))))))))))
1
(+ 1 (* -2 cosTheta))
(+ (sqrt (PI)) (* cosTheta (sqrt (PI))))
(* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))))
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))
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(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
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(+ (* -1 (* (/ (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (pow cosTheta 4)) (cbrt (PI)))) (+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))))
(+ (* -1 (* (/ (+ (* -1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt cosTheta) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (- 1 c))) (* (sqrt -2) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))))) (+ (* 1/16 (* (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 4) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 5)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 5) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))))) (pow cosTheta 6)) (cbrt (PI)))) (+ (* -1 (* (/ (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (pow cosTheta 4)) (cbrt (PI)))) (+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))))))))
(* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))
(+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))))
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(* -1 cosTheta)
(* cosTheta (- (/ 1 (pow cosTheta 2)) 1))
(* -1 (sqrt (/ 1 (PI))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (cbrt (pow (PI) 2)) (/ (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 c)))))
(* (sqrt (* cosTheta (PI))) (sqrt -1/2))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))))
(* -2 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))
(* -1 (* (/ (* (pow cosTheta 2) (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))
(* (pow cosTheta 2) (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 c)))) (* (/ 1 cosTheta) (sqrt (PI)))))
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))
(+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))
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(* (pow c 2) (+ (* -1 (cbrt (PI))) (* -1 (/ (+ (* -1 (/ (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c))))
(* (pow c 2) (+ (* -1 (cbrt (PI))) (* -1 (/ (+ (* -1 (/ (+ (cbrt (PI)) (+ (* -1 (/ (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)) c)) (* -1 (pow (/ 1 (PI)) 1/6)))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c))))
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(* -1 (* c (- (* -1 (/ (- (+ (sqrt (PI)) (* (/ (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(* -1 (* c (- (* -1 (/ (- (+ (sqrt (PI)) (* -1 (/ (- (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6)))))) c) (cbrt (pow (PI) 2))) (* (cbrt (pow (PI) 2)) (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))))) c))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(+ (cbrt (PI)) (* -1 (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 c))) (* -1 (pow (/ 1 (PI)) 1/6))) c)))
(+ (cbrt (PI)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 c))) (* -1 (pow (/ 1 (PI)) 1/6))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c)))
(* -1 (/ (- (/ 1 c) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) c)) 1) c))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)))))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6)))))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))))) c)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)))))
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c)) (* (pow cosTheta 2) (PI)))))
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) (* (/ (* cosTheta (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)))) c) (cbrt (pow (PI) 2)))) c)) (* (pow cosTheta 2) (PI)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* cosTheta (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)))) (cbrt (pow (PI) 2)))) (* (/ (* cosTheta (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))))) c) (cbrt (pow (PI) 2)))) c)) (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))))) c)) (* (pow cosTheta 2) (PI)))))

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	cosTheta	@	-inf	((* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (* (+ cosTheta 1) (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (/ (- 1 c) (- 1 (* c c))) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (- (- 1 cosTheta) cosTheta) (* (sqrt (PI)) cosTheta) (/ (- 1 cosTheta) (* (sqrt (PI)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (+ cosTheta 1) (sqrt (PI))) (* (PI) (PI)) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (* (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) cosTheta))
27.0ms	cosTheta	@	inf	((* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (* (+ cosTheta 1) (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (/ (- 1 c) (- 1 (* c c))) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (- (- 1 cosTheta) cosTheta) (* (sqrt (PI)) cosTheta) (/ (- 1 cosTheta) (* (sqrt (PI)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (+ cosTheta 1) (sqrt (PI))) (* (PI) (PI)) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (* (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) cosTheta))
22.0ms	cosTheta	@	0	((* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (* (+ cosTheta 1) (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (/ (- 1 c) (- 1 (* c c))) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (- (- 1 cosTheta) cosTheta) (* (sqrt (PI)) cosTheta) (/ (- 1 cosTheta) (* (sqrt (PI)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (+ cosTheta 1) (sqrt (PI))) (* (PI) (PI)) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (* (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) cosTheta))
14.0ms	c	@	inf	((* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (* (+ cosTheta 1) (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (/ (- 1 c) (- 1 (* c c))) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (- (- 1 cosTheta) cosTheta) (* (sqrt (PI)) cosTheta) (/ (- 1 cosTheta) (* (sqrt (PI)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (+ cosTheta 1) (sqrt (PI))) (* (PI) (PI)) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (* (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) cosTheta))
9.0ms	c	@	-inf	((* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (* (+ cosTheta 1) (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (/ (- 1 c) (- 1 (* c c))) (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta) (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (- (- 1 cosTheta) cosTheta) (* (sqrt (PI)) cosTheta) (/ (- 1 cosTheta) (* (sqrt (PI)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (* (+ cosTheta 1) (sqrt (PI))) (* (PI) (PI)) (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (* (- (sqrt (PI)) (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) cosTheta))

simplify305.0ms (2.9%)

Memory

-20.8MiB live, 325.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1335	13878
1	4683	13140
0	9585	12648

Stop Event

1×	iter limit
1×	node limit

Counts

202 → 201

Calls

Call 1

Inputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
(* (pow 1 1/6) (* cosTheta (sqrt (PI))))
(* cosTheta (+ (* -1 (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (pow (PI) 2)))) (* (pow 1 1/6) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* -1 (* (* cosTheta (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c))))) (cbrt (PI)))))) (* (pow 1 1/6) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* cosTheta (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))))) (* -1 (* (* cosTheta (+ (* -1 (* (cbrt (PI)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (pow (- 1 (pow c 2)) 2))) (pow (- 1 c) 2)))) (+ (* -1 (* (pow (* 1 (PI)) 1/6) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (- 1 (pow c 2)))) (- 1 c)))) (* (pow (* 1 (PI)) 1/6) (/ (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2))))) (- 1 c)))))) (cbrt (PI)))))))) (* (pow 1 1/6) (sqrt (PI)))))
(* (pow 1 1/6) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(/ (+ (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (/ 1 (PI)))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (* cosTheta (+ (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))) (* (pow 1 1/6) (* (/ (* cosTheta (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2)))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (* cosTheta (+ (* cosTheta (+ (* (pow 1 1/6) (* (sqrt (/ 1 (PI))) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (* (pow 1 1/6) (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(/ 1 cosTheta)
(/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta)
(sqrt (PI))
(+ (sqrt (PI)) (* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI)))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI)))))))))))
1
(+ 1 (* -2 cosTheta))
(+ (sqrt (PI)) (* cosTheta (sqrt (PI))))
(* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))))
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
(* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))
(+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))))))
(+ (* -1 (* (/ (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (pow cosTheta 4)) (cbrt (PI)))) (+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))))
(+ (* -1 (* (/ (+ (* -1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt cosTheta) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (- 1 c))) (* (sqrt -2) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2)))))))) (+ (* 1/16 (* (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 4) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 5)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 5) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))))) (pow cosTheta 6)) (cbrt (PI)))) (+ (* -1 (* (/ (+ (* -1/4 (* (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- 1 c) 3))) (* (pow (sqrt -2) 2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 3) (pow (- 1 (pow c 2)) 3)))) (cbrt (/ 1 (PI))))) (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (pow cosTheta 3)) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (pow (sqrt -2) 3) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)))))))) (pow cosTheta 4)) (cbrt (PI)))) (+ (* -1/2 (* (pow (* 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- 1 c) 2)) (* (sqrt -2) (* (pow (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2))))))) (* (cbrt (PI)) (/ (- 1 c) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))))))))
(* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))
(+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))))
(+ (* -1/8 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3))))) (+ (* 1/16 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5))))) (+ (* 1/2 (* (pow 1 1/6) (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- 1 c))) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))))
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(* -1 cosTheta)
(* cosTheta (- (/ 1 (pow cosTheta 2)) 1))
(* -1 (sqrt (/ 1 (PI))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (cbrt (pow (PI) 2)) (/ (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 c)))))
(* (sqrt (* cosTheta (PI))) (sqrt -1/2))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))))
(* -2 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))
(* -1 (* (/ (* (pow cosTheta 2) (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))
(* (pow cosTheta 2) (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 c)))) (* (/ 1 cosTheta) (sqrt (PI)))))
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
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(* -1 (* c (* cosTheta (PI))))
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(* c (- (+ (* -1 (* (/ (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) (pow c 2)) (cbrt (pow (PI) 2)))) (* (/ 1 c) (sqrt (PI)))) (+ (* cosTheta (PI)) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2))))))
(* c (- (+ (* -1 (* (/ (- (* -1 (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (* -1 (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))))) (pow c 3)) (cbrt (pow (PI) 2)))) (* (/ 1 c) (sqrt (PI)))) (+ (* cosTheta (PI)) (+ (* (/ (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) (pow c 2)) (cbrt (pow (PI) 2))) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))))
(cbrt (PI))
(+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 c))))
(- (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 2)))) (* (pow (/ 1 (PI)) 1/6) (/ 1 c)))
(- (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 3))))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 2)))) (* (pow (/ 1 (PI)) 1/6) (/ 1 c))))
(/ (- 1 (/ 1 c)) c)
(/ (- (+ 1 (/ 1 (pow c 2))) (/ 1 c)) c)
(/ (- (+ 1 (/ 1 (pow c 2))) (+ (/ 1 c) (/ 1 (pow c 3)))) c)
(* c (* cosTheta (PI)))
(* c (+ (* cosTheta (PI)) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))
(* c (+ (* cosTheta (PI)) (+ (* (/ (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) (pow c 2)) (cbrt (pow (PI) 2))) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2))))))
(* c (+ (* cosTheta (PI)) (+ (* (/ (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) (pow c 2)) (cbrt (pow (PI) 2))) (+ (* (/ (- (* -1 (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (* -1 (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))))) (pow c 3)) (cbrt (pow (PI) 2))) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))))
(* -1 (* c (* (pow cosTheta 2) (PI))))
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c)))
(* c (+ (* -1 (* (/ (* cosTheta (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) (pow c 2)) (cbrt (pow (PI) 2)))) (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c))))
(* c (+ (* -1 (* (/ (* cosTheta (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) (pow c 2)) (cbrt (pow (PI) 2)))) (+ (* -1 (* (/ (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (* -1 (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))))) (pow c 3)) (cbrt (pow (PI) 2)))) (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c)))))
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(* -1 (/ (- (* -1 (* (/ (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) c) (cbrt (PI)))) 1) c))
(* -1 (/ (- (* -1 (/ (+ (* (cbrt (PI)) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) c) (cbrt (PI)))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))))) (* (/ (+ (* -1 (* (cbrt (/ 1 (PI))) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))))) (+ (* (cbrt (/ 1 (pow (PI) 2))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c) (cbrt (PI)))) c)) (* (cbrt (PI)) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) c)) 1) c))
(* -1 (* c (- (* -1 (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (/ (+ (cbrt (PI)) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))) (* (cbrt (/ 1 (PI))) (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (+ (cbrt (PI)) (* -1 (cbrt (PI))))) c) (cbrt (/ 1 (PI))))) (* (cbrt (/ 1 (PI))) (+ (cbrt (PI)) (* -1 (cbrt (PI)))))) c)) (* (cbrt (/ 1 (PI))) (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) c)) 1)))
(* (pow c 2) (+ (* -1 (cbrt (PI))) (* -1 (/ (+ (* -1 (/ (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c))))
(* (pow c 2) (+ (* -1 (cbrt (PI))) (* -1 (/ (+ (* -1 (/ (+ (cbrt (PI)) (+ (* -1 (/ (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)) c)) (* -1 (pow (/ 1 (PI)) 1/6)))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c))))
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(* -1 (* c (- (* -1 (/ (- (+ (sqrt (PI)) (* (/ (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(* -1 (* c (- (* -1 (/ (- (+ (sqrt (PI)) (* -1 (/ (- (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6)))))) c) (cbrt (pow (PI) 2))) (* (cbrt (pow (PI) 2)) (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))))) c))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(+ (cbrt (PI)) (* -1 (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 c))) (* -1 (pow (/ 1 (PI)) 1/6))) c)))
(+ (cbrt (PI)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 c))) (* -1 (pow (/ 1 (PI)) 1/6))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c)))
(* -1 (/ (- (/ 1 c) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) c)) 1) c))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)))))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6)))))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))))) c)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)))))
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c)) (* (pow cosTheta 2) (PI)))))
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) (* (/ (* cosTheta (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)))) c) (cbrt (pow (PI) 2)))) c)) (* (pow cosTheta 2) (PI)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* cosTheta (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)))) (cbrt (pow (PI) 2)))) (* (/ (* cosTheta (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))))) c) (cbrt (pow (PI) 2)))) c)) (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))))) c)) (* (pow cosTheta 2) (PI)))))

Outputs
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/.f32 (fma.f32 (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(*.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(.f32 (fma.f32 (-.f32 (.f32 (neg.f32 cosTheta) (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)) (*.f32 (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 cosTheta) (-.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)) (.f32 (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (neg.f32 (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)) (.f32 (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal 2 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) cosTheta (neg.f32 (fma.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32) (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)
(/.f32 (fma.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)
(/.f32 (fma.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* (pow 1 1/6) (* cosTheta (sqrt (PI))))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (* -1 (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (pow (PI) 2)))) (* (pow 1 1/6) (sqrt (PI)))))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) c)))) cosTheta)
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* -1 (* (* cosTheta (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c))))) (cbrt (PI)))))) (* (pow 1 1/6) (sqrt (PI)))))
(.f32 (fma.f32 (neg.f32 (fma.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (.f32 (.f32 (pow.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))) cosTheta) (cbrt.f32 (PI.f32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (* cosTheta (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c)))) (* cosTheta (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))))) (* -1 (* (* cosTheta (+ (* -1 (* (cbrt (PI)) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (pow (- 1 (pow c 2)) 2))) (pow (- 1 c) 2)))) (+ (* -1 (* (pow (* 1 (PI)) 1/6) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (* (+ (* -1 (* (pow 1 1/6) (* (sqrt (PI)) (/ (* (pow (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) 2) (pow (- 1 (pow c 2)) 2)) (pow (- 1 c) 2))))) (* (pow (* 1 (PI)) 1/6) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (- 1 (pow c 2)))) (- 1 c)))) (* (pow (* 1 (PI)) 1/6) (/ (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2))))) (- 1 c)))))) (cbrt (PI)))))))) (* (pow 1 1/6) (sqrt (PI)))))
(.f32 (fma.f32 (fma.f32 (neg.f32 (fma.f32 (-.f32 (.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (.f32 (.f32 (pow.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)) (.f32 (.f32 (-.f32 (fma.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (/.f32 (.f32 (-.f32 (.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (.f32 (.f32 (pow.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) c) #s(literal 2 binary32)))) (sqrt.f32 (PI.f32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))) (.f32 (/.f32 (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (.f32 (/.f32 (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) c) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) cosTheta) (cbrt.f32 (PI.f32))))) cosTheta (.f32 (neg.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* (pow 1 1/6) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/ (+ (* (/ (* cosTheta (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2)))) (- 1 c)) (cbrt (/ 1 (PI)))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/.f32 (fma.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (* cosTheta (+ (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))) (* (pow 1 1/6) (* (/ (* cosTheta (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2)))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (.f32 cosTheta (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (* cosTheta (+ (* cosTheta (+ (* (pow 1 1/6) (* (sqrt (/ 1 (PI))) (/ (* (+ (* -1 (/ (- 1 c) (- 1 (pow c 2)))) (* -1/2 (/ (- 1 c) (- 1 (pow c 2))))) (- 1 (pow c 2))) (- 1 c)))) (* (pow 1 1/6) (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (+ (* -1/2 (/ (- 1 c) (- 1 (pow c 2)))) (/ 1 (- 1 (pow c 2)))) (/ c (- 1 (pow c 2)))))) (- 1 c)) (sqrt (/ 1 (PI))))))) (* (cbrt (/ 1 (PI))) (/ (* (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 (pow c 2))) (- 1 c))))) (* (pow 1 1/6) (sqrt (/ 1 (PI))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 cosTheta (/.f32 (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) #s(literal -3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 #s(literal 1 binary32) c))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ 1 cosTheta)
(/.f32 #s(literal 1 binary32) cosTheta)
(/ (+ 1 (* -1 (pow cosTheta 2))) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) cosTheta)
(sqrt (PI))
(sqrt.f32 (PI.f32))
(+ (sqrt (PI)) (* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2)))))
(-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) c))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (sqrt (PI)))))
(*.f32 (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* -1/2 (* (* cosTheta (+ (PI) (* -4 (PI)))) (sqrt (/ 1 (PI)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal -3 binary32) (PI.f32)) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (+ (PI) (* -4 (PI))))) (* -1/2 (* (* cosTheta (+ (* -8 (PI)) (* -1 (+ (PI) (* -4 (PI)))))) (sqrt (/ 1 (PI)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal -3 binary32) (PI.f32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (.f32 (-.f32 (.f32 #s(literal -8 binary32) (PI.f32)) (*.f32 #s(literal -3 binary32) (PI.f32))) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
1
#s(literal 1 binary32)
(+ 1 (* -2 cosTheta))
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(+ (sqrt (PI)) (* cosTheta (sqrt (PI))))
(fma.f32 (sqrt.f32 (PI.f32)) cosTheta (sqrt.f32 (PI.f32)))
(* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2)))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) c)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) c)))) cosTheta)
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))
(.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
(fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)))
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(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))))
(+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))))
(* -1 cosTheta)
(neg.f32 cosTheta)
(* cosTheta (- (/ 1 (pow cosTheta 2)) 1))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) cosTheta)
(* -1 (sqrt (/ 1 (PI))))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(* -1 (* (/ (* cosTheta (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))
(.f32 (neg.f32 (/.f32 (.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))) (-.f32 #s(literal 1 binary32) c))) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))
(* cosTheta (- (* (/ 1 cosTheta) (sqrt (PI))) (* (cbrt (pow (PI) 2)) (/ (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 c)))))
(.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) cosTheta)
(* (sqrt (* cosTheta (PI))) (sqrt -1/2))
(.f32 (sqrt.f32 #s(literal -1/2 binary32)) (sqrt.f32 (.f32 (PI.f32) cosTheta)))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))
(.f32 (fma.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) #s(literal -1/8 binary32))) cosTheta)
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))
(.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32))))) cosTheta)
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))))
(.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32))))) (/.f32 (fma.f32 (/.f32 (.f32 (PI.f32) cosTheta) #s(literal -1/2 binary32)) #s(literal 1/64 binary32) (.f32 #s(literal 1/16 binary32) (PI.f32))) (sqrt.f32 #s(literal -1/2 binary32))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1/2 binary32))) #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) cosTheta)) (sqrt.f32 #s(literal -1/2 binary32)))))) cosTheta)
(* -2 cosTheta)
(*.f32 #s(literal -2 binary32) cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* (/ 1 cosTheta) (sqrt (PI)))))
(*.f32 (+.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)
(* -1 (* (/ (* (pow cosTheta 2) (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2))))))) (- 1 c)) (cbrt (pow (PI) 2))))
(.f32 (neg.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)))) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))
(* (pow cosTheta 2) (+ (* -1 (* (cbrt (pow (PI) 2)) (/ (* (- 1 (pow c 2)) (- (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ (- 1 c) (- 1 (pow c 2)))))) (- 1 c)))) (* (/ 1 cosTheta) (sqrt (PI)))))
(.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (.f32 cosTheta cosTheta))
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))
(.f32 (neg.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (.f32 (neg.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))
(-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))
(-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (.f32 (.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))
(/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))))
(- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))
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(- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))
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(* c (+ 1 (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))))
(fma.f32 (/.f32 (.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c) c c)
(* c (+ 1 (+ (* (/ (- (* -1 (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) (pow c 2)) (cbrt (/ 1 (PI)))) (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI)))))))
(fma.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) #s(literal -1 binary32) (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32)))) (.f32 c c)) (/.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) c))) c c)
(* c (+ 1 (+ (* (/ (- (* -1 (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) (pow c 2)) (cbrt (/ 1 (PI)))) (+ (* (/ (- (* -1 (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (- (* -1 (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* -1 (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))))) (pow c 3)) (cbrt (/ 1 (PI)))) (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))))))
(fma.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) #s(literal -1 binary32) (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32)))) c) (/.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) #s(literal -1 binary32) (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32)))) (pow.f32 c #s(literal 3 binary32))) (/.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) c)))) c c)
(* -1 (* (pow c 2) (cbrt (PI))))
(.f32 (neg.f32 (.f32 c c)) (cbrt.f32 (PI.f32)))
(* (pow c 2) (+ (* -1 (cbrt (PI))) (* (pow (/ 1 (PI)) 1/6) (/ 1 c))))
(.f32 (-.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) c) (cbrt.f32 (PI.f32))) (.f32 c c))
(* (pow c 2) (+ (* -1 (cbrt (PI))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 2)))) (+ (* (/ 1 (pow c 2)) (cbrt (PI))) (* (pow (/ 1 (PI)) 1/6) (/ 1 c))))))
(.f32 (-.f32 (-.f32 (+.f32 (/.f32 (cbrt.f32 (PI.f32)) (.f32 c c)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) c)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (.f32 c c))) (cbrt.f32 (PI.f32))) (.f32 c c))
(* (pow c 2) (+ (* -1 (cbrt (PI))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 2)))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 3)))) (+ (* (/ 1 (pow c 2)) (cbrt (PI))) (+ (* (pow (/ 1 (PI)) 1/6) (/ 1 c)) (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 3)))))))))
(.f32 (-.f32 (-.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) c)) (/.f32 (cbrt.f32 (PI.f32)) (.f32 c c))) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (pow.f32 c #s(literal 3 binary32)))) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (.f32 c c))) (cbrt.f32 (PI.f32))) (.f32 c c))
(* -1 (* c (* cosTheta (PI))))
(.f32 (neg.f32 c) (.f32 (PI.f32) cosTheta))
(* c (- (* (/ 1 c) (sqrt (PI))) (+ (* cosTheta (PI)) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2))))))
(.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (fma.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) c) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) cosTheta))) c)
(* c (- (+ (* -1 (* (/ (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) (pow c 2)) (cbrt (pow (PI) 2)))) (* (/ 1 c) (sqrt (PI)))) (+ (* cosTheta (PI)) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2))))))
(.f32 (-.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) c) (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta)) (.f32 c c)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (fma.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) c) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) cosTheta))) c)
(* c (- (+ (* -1 (* (/ (- (* -1 (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (* -1 (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))))) (pow c 3)) (cbrt (pow (PI) 2)))) (* (/ 1 c) (sqrt (PI)))) (+ (* cosTheta (PI)) (+ (* (/ (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) (pow c 2)) (cbrt (pow (PI) 2))) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))))
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(cbrt (PI))
(cbrt.f32 (PI.f32))
(+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 c))))
(-.f32 (cbrt.f32 (PI.f32)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) c))
(- (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 2)))) (* (pow (/ 1 (PI)) 1/6) (/ 1 c)))
(-.f32 (+.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 c c)) (cbrt.f32 (PI.f32))) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) c))
(- (+ (cbrt (PI)) (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 3))))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 (pow c 2)))) (* (pow (/ 1 (PI)) 1/6) (/ 1 c))))
(-.f32 (-.f32 (cbrt.f32 (PI.f32)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (pow.f32 c #s(literal 3 binary32)))) (-.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) c) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 c c))))
(/ (- 1 (/ 1 c)) c)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)
(/ (- (+ 1 (/ 1 (pow c 2))) (/ 1 c)) c)
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c)) c)
(/ (- (+ 1 (/ 1 (pow c 2))) (+ (/ 1 c) (/ 1 (pow c 3)))) c)
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (pow.f32 c #s(literal 3 binary32)))) c)
(* c (* cosTheta (PI)))
(.f32 (.f32 c cosTheta) (PI.f32))
(* c (+ (* cosTheta (PI)) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) c) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) cosTheta)) c)
(* c (+ (* cosTheta (PI)) (+ (* (/ (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) (pow c 2)) (cbrt (pow (PI) 2))) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2))))))
(.f32 (fma.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (+.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta)) (.f32 c c)) (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) c)) (.f32 (PI.f32) cosTheta)) c)
(* c (+ (* cosTheta (PI)) (+ (* (/ (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) (pow c 2)) (cbrt (pow (PI) 2))) (+ (* (/ (- (* -1 (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (* -1 (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))))) (pow c 3)) (cbrt (pow (PI) 2))) (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))))
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(* -1 (* c (* (pow cosTheta 2) (PI))))
(.f32 (neg.f32 c) (.f32 (*.f32 cosTheta cosTheta) (PI.f32)))
(* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c)))
(.f32 (fma.f32 cosTheta (/.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) c) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (PI.f32))) c)
(* c (+ (* -1 (* (/ (* cosTheta (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) (pow c 2)) (cbrt (pow (PI) 2)))) (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c))))
(.f32 (-.f32 (fma.f32 cosTheta (/.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) c) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta)) cosTheta) (.f32 c c)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) c)
(* c (+ (* -1 (* (/ (* cosTheta (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) (pow c 2)) (cbrt (pow (PI) 2)))) (+ (* -1 (* (/ (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (* -1 (- (* -1 (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))))) (pow c 3)) (cbrt (pow (PI) 2)))) (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c)))))
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(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(/.f32 (fma.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32) #s(literal 1 binary32)) c)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(/.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) #s(literal 1 binary32)))) c) #s(literal -1 binary32) #s(literal 1 binary32)) c)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(/.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) c) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta) #s(literal 1 binary32)))) c) #s(literal -1 binary32) #s(literal 1 binary32)) c)
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32) #s(literal -1 binary32)))
(* -1 (/ (- (* -1 (* (/ (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) c) (cbrt (PI)))) 1) c))
(/.f32 (neg.f32 (fma.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta)))) c)) (cbrt.f32 (PI.f32)) #s(literal -1 binary32))) c)
(* -1 (/ (- (* -1 (/ (+ (* (cbrt (PI)) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) c) (cbrt (PI)))) c)) 1) c))
(/.f32 (fma.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32)))) (.f32 (/.f32 (.f32 (-.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))))) c) (cbrt.f32 (PI.f32)) (.f32 (-.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)))) (cbrt.f32 (PI.f32))))) c) #s(literal -1 binary32) #s(literal 1 binary32)) c)
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (cbrt (PI)) (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))))) (* (/ (+ (* -1 (* (cbrt (/ 1 (PI))) (* (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))))) (+ (* (cbrt (/ 1 (pow (PI) 2))) (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1 (* (pow 1 1/6) (* (/ (* (exp (* -1 (pow cosTheta 2))) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* (cbrt (/ 1 (pow (PI) 2))) (+ (cbrt (PI)) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))))))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c) (cbrt (PI)))) c)) (* (cbrt (PI)) (- (* -1 (cbrt (/ 1 (PI)))) (* (pow (/ 1 (pow (PI) 5)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))))) c)) 1) c))
(/.f32 (fma.f32 (/.f32 (neg.f32 (-.f32 (.f32 (-.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)))) (cbrt.f32 (PI.f32))) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (/.f32 (-.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32)))) (.f32 (/.f32 (.f32 (-.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))))) cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 #s(literal 0 binary32) (cbrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))))) (.f32 (.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)))))) c) (cbrt.f32 (PI.f32)) (.f32 (neg.f32 (cbrt.f32 (PI.f32))) (-.f32 (.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32)))) (.f32 (/.f32 (.f32 (-.f32 (neg.f32 (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 1/6 binary32)) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))))))) c))) c) #s(literal -1 binary32) #s(literal 1 binary32)) c)
(* -1 (* c (- (* -1 (* (/ (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))) 1)))
(.f32 (neg.f32 c) (fma.f32 (neg.f32 (/.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) c)) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -1 binary32)))
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (/ (+ (cbrt (PI)) (* -1 (cbrt (PI)))) c) (cbrt (/ 1 (PI))))) (* (cbrt (/ 1 (PI))) (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) c)) 1)))
(.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 0 binary32) c) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) c) #s(literal 1 binary32)))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta)))))) (+ (cbrt (PI)) (* -1 (cbrt (PI))))) c) (cbrt (/ 1 (PI))))) (* (cbrt (/ 1 (PI))) (+ (cbrt (PI)) (* -1 (cbrt (PI)))))) c)) (* (cbrt (/ 1 (PI))) (- (* (pow (/ 1 (PI)) 1/6) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (cbrt (PI)))))) c)) 1)))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (-.f32 (.f32 (fma.f32 (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (fma.f32 #s(literal 0 binary32) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (/.f32 #s(literal 0 binary32) c) (cbrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) c)) c) #s(literal -1 binary32) #s(literal -1 binary32)))
(* (pow c 2) (+ (* -1 (cbrt (PI))) (* -1 (/ (+ (* -1 (/ (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c))))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) c) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) c) (cbrt.f32 (PI.f32))) (.f32 c c))
(* (pow c 2) (+ (* -1 (cbrt (PI))) (* -1 (/ (+ (* -1 (/ (+ (cbrt (PI)) (+ (* -1 (/ (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)) c)) (* -1 (pow (/ 1 (PI)) 1/6)))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c))))
(.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (-.f32 (/.f32 #s(literal 0 binary32) c) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) (cbrt.f32 (PI.f32))) c)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) c)) (cbrt.f32 (PI.f32))) (.f32 c c))
(* -1 (* c (- (* -1 (/ (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) c) #s(literal -1 binary32) (*.f32 (PI.f32) cosTheta)))
(* -1 (* c (- (* -1 (/ (- (+ (sqrt (PI)) (* (/ (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) (cbrt.f32 (PI.f32)) (fma.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta))) c) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (PI.f32))) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) c) #s(literal -1 binary32) (*.f32 (PI.f32) cosTheta)))
(* -1 (* c (- (* -1 (/ (- (+ (sqrt (PI)) (* -1 (/ (- (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6)))))) c) (cbrt (pow (PI) 2))) (* (cbrt (pow (PI) 2)) (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))))) c))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)) (* -1 (* cosTheta (PI))))))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (-.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (-.f32 (.f32 (/.f32 (-.f32 (-.f32 (.f32 #s(literal 0 binary32) cosTheta) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (-.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (.f32 (cbrt.f32 (PI.f32)) cosTheta))) c) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 (fma.f32 (neg.f32 cosTheta) (cbrt.f32 (PI.f32)) (fma.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta))) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) c)) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) c) #s(literal -1 binary32) (.f32 (PI.f32) cosTheta)))
(+ (cbrt (PI)) (* -1 (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 c))) (* -1 (pow (/ 1 (PI)) 1/6))) c)))
(-.f32 (cbrt.f32 (PI.f32)) (/.f32 (fma.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) c) #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) c))
(+ (cbrt (PI)) (* -1 (/ (- (* -1 (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) (/ 1 c))) (* -1 (pow (/ 1 (PI)) 1/6))) c)) (* -1 (pow (/ 1 (PI)) 1/6))) c)))
(-.f32 (cbrt.f32 (PI.f32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) c) #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) c) #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) c))
(* -1 (/ (- (/ 1 c) 1) c))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32) #s(literal 1 binary32)) c)
(* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) c))
(neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c) #s(literal -1 binary32) #s(literal -1 binary32)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 c) 1) c)) 1) c)) 1) c))
(neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c) #s(literal -1 binary32) #s(literal -1 binary32)) c) #s(literal -1 binary32) #s(literal -1 binary32)) c))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (* (/ (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))) c) (cbrt (pow (PI) 2)))))))
(.f32 (neg.f32 c) (neg.f32 (fma.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) c) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (PI.f32) cosTheta))))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)))))
(.f32 (neg.f32 c) (neg.f32 (fma.f32 (PI.f32) cosTheta (/.f32 (-.f32 (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) (cbrt.f32 (PI.f32)) (fma.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta))) c) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) c))))
(* -1 (* c (+ (* -1 (* cosTheta (PI))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (/ (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6)))))) c) (cbrt (pow (PI) 2)))) (* (cbrt (pow (PI) 2)) (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta))))) c)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))) c)))))
(.f32 (neg.f32 c) (neg.f32 (fma.f32 (PI.f32) cosTheta (/.f32 (-.f32 (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (/.f32 (-.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (cbrt.f32 (PI.f32)) (fma.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta))) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 (/.f32 (-.f32 (-.f32 (.f32 #s(literal 0 binary32) cosTheta) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (-.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (.f32 (cbrt.f32 (PI.f32)) cosTheta))) c) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) c)) c))))
(* -1 (* c (+ (* -1 (/ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) c)) (* (pow cosTheta 2) (PI)))))
(.f32 (neg.f32 c) (-.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 cosTheta (/.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI)))))))) (* (/ (* cosTheta (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)))) c) (cbrt (pow (PI) 2)))) c)) (* (pow cosTheta 2) (PI)))))
(.f32 (neg.f32 c) (-.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (/.f32 (fma.f32 (.f32 cosTheta (/.f32 (fma.f32 (neg.f32 cosTheta) (cbrt.f32 (PI.f32)) (fma.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta))) c)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) cosTheta)) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* cosTheta (- (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))) (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)))) (cbrt (pow (PI) 2)))) (* (/ (* cosTheta (- (+ (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* cosTheta (+ (* -1 (pow (/ 1 (PI)) 1/6)) (pow (/ 1 (PI)) 1/6)))) (+ (* -1 (* cosTheta (cbrt (PI)))) (* cosTheta (+ (cbrt (PI)) (* -1 (pow (/ 1 (PI)) 1/6))))))) c) (cbrt (pow (PI) 2)))) c)) (* cosTheta (- (sqrt (PI)) (* (cbrt (pow (PI) 2)) (- (* -1 (* (pow (/ 1 (PI)) 1/6) cosTheta)) (* -1 (* cosTheta (cbrt (PI))))))))) c)) (* (pow cosTheta 2) (PI)))))
(.f32 (neg.f32 c) (-.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (/.f32 (-.f32 (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) cosTheta) (/.f32 (-.f32 (.f32 (.f32 cosTheta (/.f32 (-.f32 (-.f32 (.f32 #s(literal 0 binary32) cosTheta) (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta)) (-.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (.f32 (cbrt.f32 (PI.f32)) cosTheta))) c)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (cbrt.f32 (PI.f32)) (fma.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)) cosTheta))) cosTheta) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) c)) c)))

rewrite254.0ms (2.4%)

Memory

-10.5MiB live, 284.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	705
0	137	595
1	530	527
2	4120	517
0	8718	513

Stop Event

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

Counts

30 → 828

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.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 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c)))
(-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c)))))
(-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (*.f32 c c)))
(*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
(*.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta))
(.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (-.f32 #s(literal 1 binary32) c))))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 cosTheta (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c))))) cosTheta)

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

eval132.0ms (1.3%)

Memory: 36.7MiB live, 228.7MiB allocated
Compiler: Compiled 63 400 to 5 587 computations (91.2% saved)

prune52.0ms (0.5%)

Memory

5.1MiB live, 123.8MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	926	11	937
Fresh	6	10	16
Picked	4	1	5
Done	0	4	4
Total	936	26	962

Accuracy

100.0%

Counts

962 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.8%	(/.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 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
	92.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) cosTheta)))
	92.8%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
	92.8%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
	93.2%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
	56.3%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (*.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))))
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (cbrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32)))) (cbrt.f32 (PI.f32)))
	90.4%	(exp.f32 (.f32 (log.f32 (.f32 (/.f32 (+.f32 c #s(literal 1 binary32)) (cbrt.f32 (PI.f32))) (+.f32 (/.f32 (/.f32 (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))) (cbrt.f32 (PI.f32))))) #s(literal -1 binary32)))
	96.1%	#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32))) cosTheta) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))))) cosTheta))
	93.3%	#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 c cosTheta) (PI.f32)))) cosTheta))
	95.6%	#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 #s(approx (- (sqrt (PI)) ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c))))) (.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (/.f32 (.f32 (-.f32 (cbrt.f32 (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (-.f32 #s(literal 1 binary32) (.f32 c c))) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/6 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 c c))) (-.f32 #s(literal 1 binary32) c)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32))))) cosTheta)) cosTheta))
	93.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
✓	93.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 3 857 to 1 173 computations (69.6% saved)

regimes126.0ms (1.2%)

Memory

-43.4MiB live, 209.5MiB allocated

Counts

65 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

26.0ms	cosTheta
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)))
20.0ms	c
19.0ms	(+.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))))
17.0ms	(/.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)))))

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta`
98.8%	1	`c`
98.8%	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)))))`
98.8%	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))))`
98.8%	1	`(+.f32 #s(literal 1 binary32) c)`
98.8%	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 72 to 58 computations (19.4% saved)

regimes55.0ms (0.5%)

Memory

32.9MiB live, 108.9MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 c cosTheta) (PI.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 #s(literal -1 binary32) c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* 1 (- 1 cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.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 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) 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) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 c #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

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

Calls

6 calls:

11.0ms	(/.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)))))
10.0ms	(+.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))))
9.0ms	c
9.0ms	(.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)))
8.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta`
98.8%	1	`c`
98.8%	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)))))`
98.8%	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))))`
98.8%	1	`(+.f32 #s(literal 1 binary32) c)`
98.8%	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 72 to 58 computations (19.4% saved)

regimes85.0ms (0.8%)

Memory

-14.4MiB live, 67.1MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 c cosTheta) (PI.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 #s(literal -1 binary32) c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* 1 (- 1 cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.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 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) 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) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

(/.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)))))

Calls

6 calls:

27.0ms	c
26.0ms	(.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)))
8.0ms	(+.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))))
8.0ms	(/.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)))))
8.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta`
98.8%	1	`c`
98.8%	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)))))`
98.8%	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))))`
98.8%	1	`(+.f32 #s(literal 1 binary32) c)`
98.8%	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 72 to 58 computations (19.4% saved)

regimes51.0ms (0.5%)

Memory

22.1MiB live, 94.1MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 c cosTheta) (PI.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 #s(literal -1 binary32) c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* 1 (- 1 cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* (- 1 (* cosTheta cosTheta)) (/ 1 cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 (+.f32 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

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

Calls

6 calls:

10.0ms	c
10.0ms	(+.f32 #s(literal 1 binary32) c)
7.0ms	(+.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))))
7.0ms	(/.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)))))
7.0ms	(.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
98.3%	1	`cosTheta`
98.3%	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)))))`
98.3%	1	`c`
98.3%	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))))`
98.3%	1	`(+.f32 #s(literal 1 binary32) c)`
98.3%	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 72 to 58 computations (19.4% saved)

regimes43.0ms (0.4%)

Memory

-6.0MiB live, 82.0MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 c cosTheta) (PI.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 #s(literal -1 binary32) c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* 1 (- 1 cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

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

Calls

6 calls:

9.0ms	(.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)))
8.0ms	(/.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)))))
6.0ms	(+.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))))
6.0ms	c
6.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.6%	1	`cosTheta`
96.6%	1	`c`
96.6%	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)))))`
96.6%	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))))`
96.6%	1	`(+.f32 #s(literal 1 binary32) c)`
96.6%	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 72 to 58 computations (19.4% saved)

regimes55.0ms (0.5%)

Memory

-30.2MiB live, 45.0MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 c cosTheta) (PI.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ 1 (* (sqrt (/ (PI) (- (- 1 cosTheta) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 #s(literal -1 binary32) c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (* cosTheta (sqrt (PI)))) (sqrt (- (- 1 cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(approx (* 1 (- 1 cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (*.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx (* (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (*.f32 (*.f32 c cosTheta) (PI.f32)))) cosTheta))

Calls

6 calls:

23.0ms	(.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)))
13.0ms	cosTheta
5.0ms	(+.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))))
5.0ms	(/.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)))))
5.0ms	c

Results

Accuracy	Segments	Branch
93.3%	1	`cosTheta`
93.3%	1	`c`
93.3%	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)))))`
93.3%	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))))`
93.3%	1	`(+.f32 #s(literal 1 binary32) c)`
93.3%	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 72 to 58 computations (19.4% saved)

regimes11.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

6 calls:

2.0ms	(/.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)))))
2.0ms	(+.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))))
2.0ms	(.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)))
2.0ms	c
2.0ms	cosTheta

Results

Accuracy	Segments	Branch
93.3%	1	`cosTheta`
93.3%	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)))))`
93.3%	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))))`
93.3%	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)))`
93.3%	1	`c`
93.3%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes10.0ms (0.1%)

Memory

-20.9MiB live, 16.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	cosTheta
1.0ms	(/.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)))))
1.0ms	(+.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))))
1.0ms	(.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)))
1.0ms	c

Results

Accuracy	Segments	Branch
5.0%	1	`cosTheta`
5.0%	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)))))`
5.0%	1	`c`
5.0%	1	`(+.f32 #s(literal 1 binary32) c)`
5.0%	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))))`
5.0%	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 72 to 58 computations (19.4% saved)

simplify54.0ms (0.5%)

Memory

25.1MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	280
1	191	273
2	423	268
3	1272	268
4	6519	268

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.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 (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 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 c cosTheta) (PI.f32)))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.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 (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 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (/ 1 (/ (+ (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (* (pow (exp cosTheta) (neg cosTheta)) (* (/ (pow (PI) -1/6) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))))) (* (/ (- 1 c) (- 1 (* c c))) (cbrt (PI))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) #s(approx ( (cbrt (* (PI) (PI))) (* cosTheta (/ (* (- (cbrt (PI)) (* (/ (- 1 c) (- 1 (* c c))) (pow (/ 1 (PI)) 1/6))) (- 1 (* c c))) (- 1 c)))) (.f32 (.f32 c cosTheta) (PI.f32)))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

soundness1.6s (15%)

Memory

6.5MiB live, 833.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1114	13187
1	3765	12586
0	8185	12112
0	407	3010
1	1237	2916
2	4747	2838
0	8295	2706
0	84	705
0	137	595
1	530	527
2	4120	517
0	8718	513
0	18	73
0	33	73
1	141	66
2	1060	61
0	8673	61
0	65	435
0	108	387
1	434	351
2	2831	351
0	8462	351
0	66	397
0	112	371
1	438	313
2	3181	313
0	11071	313
0	1335	13878
1	4683	13140
0	9585	12648

Stop Event

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

Compiler

Compiled 863 to 414 computations (52% saved)

preprocess51.0ms (0.5%)

Memory: 4.3MiB live, 42.5MiB allocated
Compiler: Compiled 608 to 232 computations (61.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze25.0ms (0.2%)

sample2.1s (20%)

explain341.0ms (3.3%)

preprocess227.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify142.0ms (1.4%)

localize59.0ms (0.6%)

series31.0ms (0.3%)

simplify281.0ms (2.7%)

rewrite242.0ms (2.3%)

eval101.0ms (1%)

prune39.0ms (0.4%)

simplify139.0ms (1.3%)

localize271.0ms (2.6%)

series291.0ms (2.8%)

simplify268.0ms (2.6%)

rewrite477.0ms (4.6%)

eval217.0ms (2.1%)

prune48.0ms (0.5%)

simplify159.0ms (1.5%)

localize243.0ms (2.3%)

series180.0ms (1.7%)

simplify350.0ms (3.3%)

rewrite273.0ms (2.6%)

eval304.0ms (2.9%)

prune345.0ms (3.3%)

simplify126.0ms (1.2%)

localize198.0ms (1.9%)

series128.0ms (1.2%)

simplify305.0ms (2.9%)

rewrite254.0ms (2.4%)

eval132.0ms (1.3%)

prune52.0ms (0.5%)

regimes126.0ms (1.2%)

regimes55.0ms (0.5%)

regimes85.0ms (0.8%)

regimes51.0ms (0.5%)

regimes43.0ms (0.4%)

regimes55.0ms (0.5%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

simplify54.0ms (0.5%)

soundness1.6s (15%)

preprocess51.0ms (0.5%)

end0.0ms (0%)

Profiling