Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze28.0ms (0.3%)

Memory

-8.1MiB live, 36.6MiB 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)

sample2.7s (25%)

Memory

-75.2MiB live, 2 658.8MiB allocated

Samples

2.2s	8 256×	0	valid
24.0ms	77×	0	invalid

Precisions

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

ival-div: 224.0ms (14.5% of total)

ival-sqrt: 220.0ms (14.2% of total)

ival-exp: 205.0ms (13.2% of total)

ival-mult: 184.0ms (11.9% of total)

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

const: 148.0ms (9.6% of total)

ival-<: 140.0ms (9% of total)

ival-add: 125.0ms (8.1% of total)

ival-neg: 78.0ms (5% of total)

ival-pi: 33.0ms (2.1% of total)

ival-and: 24.0ms (1.5% of total)

exact: 16.0ms (1% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain476.0ms (4.4%)

Memory

-37.3MiB live, 533.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(2.3844887032521098e-39 -5.436165298293438e-13)	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))`
0	-	0	-	`(sqrt.f32 (PI.f32))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`(*.f32 (neg.f32 cosTheta) cosTheta)`
0	-	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	-	0	-	`(+.f32 #s(literal 1 binary32) c)`
0	-	0	-	`cosTheta`
0	-	0	-	`(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))`
0	-	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	-	0	-	`c`
0	-	0	-	`(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))`
0	-	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	-	0	-	`(-.f32 #s(literal 1 binary32) cosTheta)`
0	-	0	-	`(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)`
0	-	0	-	`(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))`
0	-	0	-	`(neg.f32 cosTheta)`

Confusion

	Predicted +	Predicted -
+	0	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

66.0ms

512×

valid

Compiler

Compiled 533 to 156 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 10.0ms (20.9% of total)

ival-mult: 9.0ms (18.8% of total)

ival-sub: 7.0ms (14.6% of total)

ival-sqrt: 7.0ms (14.6% of total)

ival-add: 5.0ms (10.4% of total)

ival-exp: 4.0ms (8.3% of total)

ival-neg: 3.0ms (6.3% of total)

ival-pi: 2.0ms (4.2% of total)

ival-true: 1.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

preprocess208.0ms (1.9%)

Memory

9.3MiB live, 118.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	127
1	135	117
2	394	111
3	1316	110
4	3697	110
5	5276	110
6	7001	110
7	7750	110
0	18	25
0	33	25
1	59	23
2	122	22
3	242	22
4	365	22
5	743	22
6	1884	22
7	2802	22
8	3446	22
9	4078	22
10	4247	22
11	4282	22
12	4315	22
13	4449	22
14	5068	22
15	5076	22
16	5080	22
17	5080	22
0	5080	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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

97.9%

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

Compiler

Compiled 25 to 18 computations (28% saved)

simplify162.0ms (1.5%)

Memory

2.6MiB live, 63.9MiB 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	365	115
5	743	115
6	1884	115
7	2802	115
8	3446	115
9	4078	115
10	4247	115
11	4282	115
12	4315	115
13	4449	115
14	5068	115
15	5076	115
16	5080	115
17	5080	115
0	5080	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)

localize90.0ms (0.8%)

Memory

1.9MiB live, 110.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0625	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.3046875	(/.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	0.7225196262797545	(*.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

75.0ms

256×

valid

Compiler

Compiled 254 to 38 computations (85% saved)

Precisions

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

ival-div: 42.0ms (68.5% of total)

ival-sqrt: 5.0ms (8.1% of total)

ival-mult: 4.0ms (6.5% of total)

ival-add: 3.0ms (4.9% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.3%)

Memory

-7.3MiB live, 76.2MiB 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
18.0ms	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))
11.0ms	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))
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))
1.0ms	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))

simplify202.0ms (1.9%)

Memory

17.5MiB live, 208.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	3010
1	1237	2916
2	4721	2838
0	8274	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)))

rewrite184.0ms (1.7%)

Memory

15.8MiB live, 204.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	73
0	33	73
1	141	66
2	1060	61
0	8551	61

Stop Event

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

Counts

6 → 456

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

eval119.0ms (1.1%)

Memory: -10.8MiB live, 161.2MiB allocated
Compiler: Compiled 21 227 to 2 805 computations (86.8% saved)

prune26.0ms (0.2%)

Memory

-22.4MiB live, 58.0MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	490	19	509
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	490	20	510

Accuracy

99.8%

Counts

510 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.2%	(/.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))))
▶	13.5%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #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 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
	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)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	98.1%	(/.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)))
	98.0%	(/.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)))
	98.2%	(/.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)))))
▶	98.0%	(/.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)))))
▶	98.4%	(/.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)))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (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)))))
	98.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	97.8%	(/.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 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (neg.f32 cosTheta) cosTheta))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.4%	(/.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)))))
	92.6%	(/.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)))
	33.2%	(-.f32 (/.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 (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 (*.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 (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)))))
	57.1%	(*.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)))
▶	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	93.2%	#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 1 325 to 784 computations (40.8% saved)

simplify216.0ms (2%)

Memory

4.6MiB live, 160.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	96	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))
cost-diff	192	(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #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 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
cost-diff	512	(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #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 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (/.f32 (+.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (neg.f32 cosTheta) cosTheta))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	224	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (neg.f32 cosTheta) cosTheta))
cost-diff	352	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (/.f32 (+.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (neg.f32 cosTheta) cosTheta))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) cosTheta))
cost-diff	1248	(/.f32 (+.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(+.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))))
cost-diff	0	(/.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)))))
cost-diff	64	(.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) 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 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
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 cosTheta (sqrt.f32 (PI.f32)))) (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 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	684
0	110	601
1	191	585
2	399	573
3	1076	561
4	2427	547
5	4841	533
0	8239	500

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

localize200.0ms (1.9%)

Memory

1.4MiB live, 231.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.44252079813221834	(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #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 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
accuracy	27.056393018888436	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))))
accuracy	30.101299206290285	(fma.f32 c c #s(literal -1 binary32))
accuracy	0.30078125	(/.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 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (neg.f32 cosTheta) cosTheta))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.7101371067428704	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (/.f32 (+.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (neg.f32 cosTheta) cosTheta))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) cosTheta))
accuracy	0.98828125	(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
accuracy	0.30078125	(/.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)))))
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.59765625	(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)
accuracy	0.8125	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
accuracy	0	(/.f32 #s(literal 1 binary32) c)
accuracy	30.058275623953634	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
accuracy	0.30078125	(/.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)))))
accuracy	0.3203125	(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.41796875	(*.f32 cosTheta (sqrt.f32 (PI.f32)))

Samples

114.0ms	253×	0	valid
4.0ms	3×	5	exit

Compiler

Compiled 1 373 to 121 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-div: 24.0ms (25% of total)

ival-add: 24.0ms (25% of total)

ival-mult: 22.0ms (22.9% of total)

ival-sqrt: 7.0ms (7.3% of total)

ival-pow: 7.0ms (7.3% of total)

ival-exp: 4.0ms (4.2% of total)

ival-sub: 4.0ms (4.2% of total)

adjust: 1.0ms (1% of total)

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

ival-neg: 1.0ms (1% 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

30.8MiB live, 116.9MiB allocated

Counts

24 → 179

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	cosTheta	@	-inf	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* cosTheta (sqrt (PI))) (PI) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* c c) -1))
29.0ms	c	@	0	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* cosTheta (sqrt (PI))) (PI) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* c c) -1))
14.0ms	cosTheta	@	inf	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* cosTheta (sqrt (PI))) (PI) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* c c) -1))
6.0ms	cosTheta	@	0	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* cosTheta (sqrt (PI))) (PI) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* c c) -1))
6.0ms	c	@	inf	((+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta)) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* cosTheta (sqrt (PI))) (PI) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* c c) -1))

simplify252.0ms (2.3%)

Memory

15.6MiB live, 236.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1071	10664
1	3431	10101
0	8529	9627

Stop Event

1×	iter limit
1×	node limit

Counts

179 → 177

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

rewrite325.0ms (3%)

Memory

-34.9MiB live, 375.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	416
0	110	419
1	440	383
2	3597	380
0	9073	369

Stop Event

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

Counts

24 → 938

Calls

Call 1

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

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

eval170.0ms (1.6%)

Memory: 9.0MiB live, 355.7MiB allocated
Compiler: Compiled 54 015 to 5 875 computations (89.1% saved)

prune67.0ms (0.6%)

Memory

19.2MiB live, 107.6MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1 167	14	1 181
Fresh	9	5	14
Picked	2	3	5
Done	1	0	1
Total	1 179	22	1 201

Accuracy

99.9%

Counts

1 201 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	14.0%	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	57.2%	(/.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))))
	14.5%	(/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))
	92.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
	92.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
	98.0%	(/.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)) (sqrt.f32 (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32)) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.0%	(/.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)))))
▶	98.6%	(/.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 (.f32 (PI.f32) (log.f32 (E.f32)))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.4%	(/.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)))))
▶	92.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 #s(approx (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	33.2%	(-.f32 (/.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 (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 (*.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 (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)))))
	56.9%	(.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (-.f32 (.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (.f32 (/.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))) #s(literal 2 binary32)))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (.f32 (/.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)))))
	57.1%	(*.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)))
	57.1%	(.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))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 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))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)))))
	8.9%	(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)))
▶	93.2%	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓	4.9%	#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 1 528 to 882 computations (42.3% saved)

simplify175.0ms (1.6%)

Memory

-16.9MiB live, 205.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (exp.f32 cosTheta) cosTheta))
cost-diff	704	(.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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))))))
cost-diff	2912	(pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) #s(literal 1/2 binary32))
cost-diff	3552	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
cost-diff	0	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (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 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	64	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) 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(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	64	(.f32 (/.f32 #s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
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 cosTheta (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	64	(.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff	3200	(log.f32 (E.f32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	648
0	115	639
1	182	615
2	341	610
3	708	603
4	1361	579
5	3291	579
6	7717	579
0	8247	544

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

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

localize237.0ms (2.2%)

Memory

-25.2MiB live, 287.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.49423528414765383	(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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)))))
accuracy	0.5185737793053261	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
accuracy	1.4476772067636976	(fma.f32 c c #s(literal -1 binary32))
accuracy	2.0348719957638006	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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))))
accuracy	0.3046875	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.33203125	(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
accuracy	0.49609375	(/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
accuracy	0.8125	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
accuracy	0.3046875	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.59765625	(/.f32 #s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
accuracy	1.0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	1.9119370033278553	#s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
accuracy	0	(sqrt.f32 (PI.f32))
accuracy	0	(PI.f32)
accuracy	0.42578125	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
accuracy	1.8164603811940174	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
accuracy	0.3046875	(/.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 (.f32 (PI.f32) (log.f32 (E.f32)))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.32421875	(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32))))))
accuracy	0.42578125	(.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))))
accuracy	1.0	(log.f32 (E.f32))

Samples

190.0ms

256×

valid

Compiler

Compiled 1 279 to 128 computations (90% saved)

Precisions

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

ival-div: 44.0ms (31% of total)

ival-sqrt: 36.0ms (25.3% of total)

ival-mult: 19.0ms (13.4% of total)

ival-add: 17.0ms (12% of total)

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

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

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

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

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

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

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

exact: 1.0ms (0.7% of total)

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

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

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

series236.0ms (2.2%)

Memory

24.8MiB live, 308.9MiB allocated

Counts

30 → 237

Calls

Call 1

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

Outputs
(* (/ 1 cosTheta) (sqrt (/ 1 (* (PI) (log (E))))))
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* -1 (* cosTheta (sqrt (/ 1 (* (PI) (log (E)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (+ (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))) (* cosTheta (+ (sqrt (/ 1 (* (PI) (log (E))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))))))))))) cosTheta)
(* cosTheta (sqrt (* (PI) (log (E)))))
(* cosTheta (+ (sqrt (* (PI) (log (E)))) (* -1 (* cosTheta (* (PI) (* (log (E)) (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E))))))))))))))
(* cosTheta (+ (sqrt (* (PI) (log (E)))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (* (pow (PI) 3) (pow (log (E)) 3))) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) 2))) (* (PI) (* (log (E)) (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))))))))) (* (PI) (* (log (E)) (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E))))))))))))))
(* cosTheta (+ (sqrt (* (PI) (log (E)))) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (* (PI) (log (E)))) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) (+ (* -1 (* (sqrt (* (pow (PI) 3) (pow (log (E)) 3))) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) 2))) (* (PI) (* (log (E)) (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E))))))))))))) (+ (* -1 (* (sqrt (* (pow (PI) 3) (pow (log (E)) 3))) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))))))) (* (PI) (* (log (E)) (+ (sqrt (/ 1 (* (PI) (log (E))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E))))))))))))) (+ (* -1 (* (sqrt (* (pow (PI) 3) (pow (log (E)) 3))) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) 2))) (* (PI) (* (log (E)) (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))))))))) (* (PI) (* (log (E)) (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E))))))))))))))
(* 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)))))))))))
(* (/ 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)
(/ (+ (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))) (* 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 (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (sqrt (PI)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (* (* cosTheta (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))) (sqrt (PI)))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* cosTheta (+ (* (sqrt (PI)) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))) (* (* cosTheta (- 1/2 (+ (* -1 (/ (- 1 c) (- c 1))) (+ (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))) (- c 1)) (/ (* (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1)))) (- (+ 1 (* -1/2 (- c 1))) c)) (- c 1)))))) (sqrt (PI))))) (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1)))))))))
(* (pow (* 1 (PI)) 1/4) (sqrt cosTheta))
(+ (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt (pow cosTheta 3)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt cosTheta) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))))) (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt (/ 1 cosTheta)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt (/ 1 cosTheta)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))) (* cosTheta (+ (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt cosTheta) (- 1/2 (+ (* -1 (/ (- 1 c) (- c 1))) (+ (* 1/4 (/ (pow (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1)))) 2) cosTheta)) (+ (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))) (- c 1)) (/ (* (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1)))) (- (+ 1 (* -1/2 (- c 1))) c)) (- c 1))))))))) (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt (/ 1 cosTheta)) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta)))
(/ 1 cosTheta)
(/ (+ 1 (* -1 cosTheta)) cosTheta)
(/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta)
(/ (+ 1 (* cosTheta (- (* cosTheta (- (* 1/2 cosTheta) 3/2)) 1))) cosTheta)
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (* cosTheta (sqrt (/ 1 (* (PI) (log (E)))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (* cosTheta (sqrt (/ 1 (* (PI) (log (E)))))))))))) 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))))))))))
(* 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)))))))))))
(/ (- c 1) cosTheta)
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))))) 1) cosTheta)
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (- (+ 1 (* -1/2 (- c 1))) c)) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta)
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (- (+ 1 (+ (* -1/2 (- c 1)) (* cosTheta (+ (* -1 (- 1 c)) (* -1/2 (- c 1)))))) c)) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta)
(* (/ cosTheta (- c 1)) (sqrt (PI)))
(* cosTheta (+ (* (sqrt (PI)) (/ 1 (- c 1))) (* (* cosTheta (- (/ 1 (- c 1)) (* (sqrt (PI)) (/ (- (pow c 2) 1) (pow (- c 1) 2))))) (sqrt (PI)))))
(* cosTheta (+ (* cosTheta (+ (* (sqrt (PI)) (- (/ 1 (- c 1)) (* (sqrt (PI)) (/ (- (pow c 2) 1) (pow (- c 1) 2))))) (* (* cosTheta (- (+ (* 1/2 (/ 1 (- c 1))) (/ c (pow (- c 1) 2))) (+ (/ 1 (pow (- c 1) 2)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- (/ 1 (- c 1)) (* (sqrt (PI)) (/ (- (pow c 2) 1) (pow (- c 1) 2))))) (- c 1))))) (sqrt (PI))))) (* (sqrt (PI)) (/ 1 (- c 1)))))
(* cosTheta (+ (* cosTheta (+ (* cosTheta (+ (* (sqrt (PI)) (- (+ (* 1/2 (/ 1 (- c 1))) (/ c (pow (- c 1) 2))) (+ (/ 1 (pow (- c 1) 2)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- (/ 1 (- c 1)) (* (sqrt (PI)) (/ (- (pow c 2) 1) (pow (- c 1) 2))))) (- c 1))))) (* (* cosTheta (- (* 1/2 (/ 1 (- c 1))) (+ (* -1 (/ (- 1 c) (pow (- c 1) 2))) (+ (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- (+ (* 1/2 (/ 1 (- c 1))) (/ c (pow (- c 1) 2))) (+ (/ 1 (pow (- c 1) 2)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- (/ 1 (- c 1)) (* (sqrt (PI)) (/ (- (pow c 2) 1) (pow (- c 1) 2))))) (- c 1))))) (- c 1)) (/ (* (- (+ 1 (* -1/2 (- c 1))) c) (- (/ 1 (- c 1)) (* (sqrt (PI)) (/ (- (pow c 2) 1) (pow (- c 1) 2))))) (- c 1)))))) (sqrt (PI))))) (* (sqrt (PI)) (- (/ 1 (- c 1)) (* (sqrt (PI)) (/ (- (pow c 2) 1) (pow (- c 1) 2))))))) (* (sqrt (PI)) (/ 1 (- c 1)))))
(* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (log (E)))))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))
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(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (log (E)))))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (log (E)) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (* (PI) (log (E))))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (* (PI) (log (E)))))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (* (PI) (log (E)))))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 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))))))))
(* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))
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(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
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(* (sqrt (PI)) (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))
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(* (pow (* 1 (PI)) 1/4) (sqrt (/ (- c 1) (+ (* (sqrt (PI)) (- (pow c 2) 1)) (* (sqrt (/ 1 cosTheta)) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))))
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(/ (- (+ 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 (* (/ (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) c) (sqrt (PI)))) c)
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(sqrt (/ 1 c))
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(* (pow c 2) (sqrt (PI)))
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(* (pow c 2) (+ (sqrt (PI)) (+ (* -1 (* (/ 1 (* (pow c 2) (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (+ (* -1 (* (/ 1 (pow c 2)) (sqrt (PI)))) (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))))
(pow c 2)
(* (pow c 2) (- 1 (/ 1 (pow c 2))))
(/ 1 (pow c 2))
(/ (+ 1 (* -1 (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (pow c 2))
(/ (+ 1 (+ (* -1 (* (/ 1 (* c (* cosTheta (exp (pow cosTheta 2))))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- 1 (* 2 cosTheta)) (* (pow cosTheta 2) (pow (exp (pow cosTheta 2)) 2))) (sqrt (/ 1 (pow (PI) 3))))))) (pow c 2)) (sqrt (PI)))))) (pow c 2))
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(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (* (PI) (log (E)))))) (/ 1 c)) 1) c))
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(* -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 (/ (pow (sqrt -1) 2) c))
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(* -1 (/ (+ (* -1 (/ (+ (* (sqrt (PI)) (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (/ (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (/ (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (PI))) c) (sqrt (PI)))) c)) (pow (sqrt -1) 2)) c))
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(* (sqrt (/ 1 c)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ (PI) (pow c 3))) (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))
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(/ (+ 1 (* -1 (/ (+ (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- 1 (* 2 cosTheta)) (* (pow cosTheta 2) (pow (exp (pow cosTheta 2)) 2))) (sqrt (/ 1 (pow (PI) 3))))))) c) (sqrt (PI)))) c))) (pow c 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- 1 (* 2 cosTheta)) (* (pow cosTheta 2) (pow (exp (pow cosTheta 2)) 2))) (sqrt (/ 1 (pow (PI) 3))))))))) (* (/ (+ (* (/ (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (pow (PI) 3)))) (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- 1 (* 2 cosTheta)) (* (pow cosTheta 2) (pow (exp (pow cosTheta 2)) 2))) (sqrt (/ 1 (pow (PI) 3))))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) (sqrt (PI)))) c)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) (pow c 2))

Calls

6 calls:

Time	Variable		Point	Expression
83.0ms	cosTheta	@	0	((log (E)) (* (PI) (log (E))) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (+ (* c c) -1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))
46.0ms	cosTheta	@	inf	((log (E)) (* (PI) (log (E))) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (+ (* c c) -1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))
31.0ms	cosTheta	@	-inf	((log (E)) (* (PI) (log (E))) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (+ (* c c) -1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))
17.0ms	c	@	0	((log (E)) (* (PI) (log (E))) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (+ (* c c) -1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))
8.0ms	c	@	-inf	((log (E)) (* (PI) (log (E))) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (exp (* (neg cosTheta) cosTheta)))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ cosTheta (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (+ (* c c) -1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))

simplify317.0ms (2.9%)

Memory

-18.2MiB live, 295.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1715	20474
1	5975	19324
0	8118	18724

Stop Event

1×	iter limit
1×	node limit

Counts

237 → 236

Calls

Call 1

Inputs
(* (/ 1 cosTheta) (sqrt (/ 1 (* (PI) (log (E))))))
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* -1 (* cosTheta (sqrt (/ 1 (* (PI) (log (E)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E))))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (+ (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))) (* cosTheta (+ (sqrt (/ 1 (* (PI) (log (E))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))))))))))) cosTheta)
(* cosTheta (sqrt (* (PI) (log (E)))))
(* cosTheta (+ (sqrt (* (PI) (log (E)))) (* -1 (* cosTheta (* (PI) (* (log (E)) (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E))))))))))))))
(* cosTheta (+ (sqrt (* (PI) (log (E)))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (* (pow (PI) 3) (pow (log (E)) 3))) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) 2))) (* (PI) (* (log (E)) (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))))))))) (* (PI) (* (log (E)) (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E))))))))))))))
(* cosTheta (+ (sqrt (* (PI) (log (E)))) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (* (PI) (log (E)))) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) (+ (* -1 (* (sqrt (* (pow (PI) 3) (pow (log (E)) 3))) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) 2))) (* (PI) (* (log (E)) (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E))))))))))))) (+ (* -1 (* (sqrt (* (pow (PI) 3) (pow (log (E)) 3))) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))))))) (* (PI) (* (log (E)) (+ (sqrt (/ 1 (* (PI) (log (E))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E))))))))))))) (+ (* -1 (* (sqrt (* (pow (PI) 3) (pow (log (E)) 3))) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E)))))))) 2))) (* (PI) (* (log (E)) (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))))))))) (* (PI) (* (log (E)) (+ 1 (+ c (* -1 (sqrt (/ 1 (* (PI) (log (E))))))))))))))
(* 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)))))))))))
(* (/ 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)
(/ (+ (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))) (* 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 (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (sqrt (PI)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (* (* cosTheta (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))) (sqrt (PI)))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* cosTheta (+ (* (sqrt (PI)) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))) (* (* cosTheta (- 1/2 (+ (* -1 (/ (- 1 c) (- c 1))) (+ (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))) (- c 1)) (/ (* (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1)))) (- (+ 1 (* -1/2 (- c 1))) c)) (- c 1)))))) (sqrt (PI))))) (* (sqrt (PI)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1)))))))))
(* (pow (* 1 (PI)) 1/4) (sqrt cosTheta))
(+ (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt (pow cosTheta 3)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt cosTheta) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))))) (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt (/ 1 cosTheta)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta)))
(+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt (/ 1 cosTheta)) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))))) (* cosTheta (+ (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt cosTheta) (- 1/2 (+ (* -1 (/ (- 1 c) (- c 1))) (+ (* 1/4 (/ (pow (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1)))) 2) cosTheta)) (+ (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))) (- c 1)) (/ (* (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1)))) (- (+ 1 (* -1/2 (- c 1))) c)) (- c 1))))))))) (* 1/2 (* (pow (* 1 (PI)) 1/4) (* (sqrt (/ 1 cosTheta)) (- (+ 1/2 (/ c (- c 1))) (+ (/ 1 (- c 1)) (/ (* (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))) (- 1 (* (sqrt (PI)) (/ (- (pow c 2) 1) (- c 1))))) (- c 1))))))))))) (* (pow (* 1 (PI)) 1/4) (sqrt cosTheta)))
(/ 1 cosTheta)
(/ (+ 1 (* -1 cosTheta)) cosTheta)
(/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta)
(/ (+ 1 (* cosTheta (- (* cosTheta (- (* 1/2 cosTheta) 3/2)) 1))) cosTheta)
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (* cosTheta (sqrt (/ 1 (* (PI) (log (E)))))))))) cosTheta)
(/ (+ (sqrt (/ 1 (* (PI) (log (E))))) (* cosTheta (+ (* -1 (sqrt (/ 1 (* (PI) (log (E)))))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (* (PI) (log (E)))))) (* -1/2 (* cosTheta (sqrt (/ 1 (* (PI) (log (E)))))))))))) 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))))))))))
(* 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)))))))))))
(/ (- c 1) cosTheta)
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (* (sqrt (PI)) (- (pow c 2) 1))))) 1) cosTheta)
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (- (+ 1 (* -1/2 (- c 1))) c)) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta)
(/ (- (+ c (* cosTheta (+ (* -1 (- c 1)) (+ (* cosTheta (- (+ 1 (+ (* -1/2 (- c 1)) (* cosTheta (+ (* -1 (- 1 c)) (* -1/2 (- c 1)))))) c)) (* (sqrt (PI)) (- (pow c 2) 1)))))) 1) cosTheta)
(* (/ cosTheta (- c 1)) (sqrt (PI)))
(* cosTheta (+ (* (sqrt (PI)) (/ 1 (- c 1))) (* (* cosTheta (- (/ 1 (- c 1)) (* (sqrt (PI)) (/ (- (pow c 2) 1) (pow (- c 1) 2))))) (sqrt (PI)))))
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1
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(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (* (PI) (log (E)))))) (/ 1 c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (* (PI) (log (E))))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (* (PI) (log (E)))))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (* (PI) (log (E))))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (* (PI) (log (E))))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (* (PI) (log (E)))))))) c)) 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)))
(* -1 (/ (pow (sqrt -1) 2) c))
(* -1 (/ (+ (* -1 (* (/ (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) c) (sqrt (PI)))) (pow (sqrt -1) 2)) c))
(* -1 (/ (+ (* -1 (/ (+ (* (sqrt (PI)) (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (/ (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (/ (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (PI))) c) (sqrt (PI)))) c)) (pow (sqrt -1) 2)) c))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -1 (* (/ (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (/ (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (PI))))) (* (/ (+ (* (sqrt (/ 1 (PI))) (* (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (+ (* -1 (* (/ (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (/ (* (pow (sqrt -1) 2) (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))))) (PI))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) (sqrt (PI)))) c)) (* (sqrt (PI)) (- (* (sqrt (/ 1 (PI))) (pow (sqrt -1) 2)) (* -1 (* (/ (pow (sqrt -1) 2) (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) c)) (pow (sqrt -1) 2)) c))
(* (sqrt (/ 1 c)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ (PI) (pow c 3))) (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ (PI) (pow c 3))) (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (+ (* 1/2 (* (sqrt (/ (PI) (pow c 5))) (+ (* -1 (* (/ (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (PI)))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (* c (PI))) (+ (* -1 (* (/ (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (PI)))))) (* 1/2 (* (sqrt (/ (PI) c)) (+ (* -1/4 (* (/ (* c (pow (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) 2)) (pow (sqrt -1) 2)) (sqrt (PI)))) (+ (* (sqrt (/ 1 (PI))) (* (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (/ (+ (* -1 (* (/ (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (PI)))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ (PI) (pow c 3))) (- (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* (/ (- (sqrt (/ 1 (PI))) (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) c) (sqrt (PI))) 1) c))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (- (sqrt (/ 1 (PI))) (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* -1 (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- (sqrt (/ 1 (PI))) (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c) (sqrt (PI))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (+ (* -1 (* (sqrt (PI)) (- (sqrt (/ 1 (PI))) (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* -1 (/ (+ (* -1 (* (/ (+ (* (sqrt (/ 1 (PI))) (* (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (- (sqrt (/ 1 (PI))) (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))))) (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- (sqrt (/ 1 (PI))) (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) (sqrt (PI)))) (* (sqrt (PI)) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- (sqrt (/ 1 (PI))) (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))) c))) c)) 1) c))
(* (pow c 2) (+ (sqrt (PI)) (* -1 (/ (+ (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (/ (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) c))) c))))
(/ (+ 1 (* -1 (/ (+ (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- 1 (* 2 cosTheta)) (* (pow cosTheta 2) (pow (exp (pow cosTheta 2)) 2))) (sqrt (/ 1 (pow (PI) 3))))))) c) (sqrt (PI)))) c))) (pow c 2))
(/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- 1 (* 2 cosTheta)) (* (pow cosTheta 2) (pow (exp (pow cosTheta 2)) 2))) (sqrt (/ 1 (pow (PI) 3))))))))) (* (/ (+ (* (/ (+ (* -1 (sqrt (PI))) (* -1 (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (- 1 (* 2 cosTheta)))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (pow (PI) 3)))) (* (/ (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 (* cosTheta (* (PI) (exp (pow cosTheta 2))))) (sqrt (- 1 (* 2 cosTheta))))) (* -1 (* (/ (- 1 (* 2 cosTheta)) (* (pow cosTheta 2) (pow (exp (pow cosTheta 2)) 2))) (sqrt (/ 1 (pow (PI) 3))))))) (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c) (sqrt (PI)))) c)) (* (/ 1 (* cosTheta (exp (pow cosTheta 2)))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) (pow c 2))

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

rewrite398.0ms (3.7%)

Memory

-4.4MiB live, 353.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	477
0	115	437
1	435	420
2	3036	411
0	11117	396

Stop Event

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

Counts

30 → 1 591

Calls

Call 1

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

Outputs
#s(literal 1 binary32)
(log.f32 (exp.f32 (PI.f32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (exp.f32 (log.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (exp.f32 (log.f32 (cbrt.f32 (PI.f32)))))
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) #s(literal 1/2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32))))
(.f32 (cbrt.f32 (PI.f32)) (pow.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (PI.f32) #s(literal 1 binary32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(/.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(fabs.f32 (PI.f32))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (PI.f32) (PI.f32))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
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(/.f32 (neg.f32 (-.f32 (pow.f32 c #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 c c #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 c #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 c #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 c c) #s(literal -1 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (fma.f32 c c #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) c) (+.f32 c #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (-.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) c) (fma.f32 c c (+.f32 c #s(literal 1 binary32)))))
(/.f32 (.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32))) (.f32 (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))))
(/.f32 (.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 c (-.f32 c #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 c c (+.f32 c #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 c #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 c c #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 c #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 c #s(literal 4 binary32)) (.f32 (.f32 c c) #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 c #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (+.f32 (pow.f32 c #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 c c) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 c c #s(literal 1 binary32)) (-.f32 (pow.f32 c #s(literal 4 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 c #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 c c) #s(literal -1 binary32))) (+.f32 (pow.f32 c #s(literal 6 binary32)) #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 c #s(literal 4 binary32)) (fma.f32 c c #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 c c #s(literal 1 binary32))))
(-.f32 (*.f32 c c) #s(literal 1 binary32))
(fma.f32 (exp.f32 (log.f32 c)) (exp.f32 (log.f32 c)) #s(literal -1 binary32))
(fma.f32 (*.f32 c c) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (+.f32 c #s(literal 1 binary32)) c (*.f32 (+.f32 c #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 c (+.f32 c #s(literal 1 binary32)) (*.f32 #s(literal -1 binary32) (+.f32 c #s(literal 1 binary32))))
(fma.f32 c c #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 c c) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 c c #s(literal 1 binary32)) (-.f32 (pow.f32 c #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 (pow.f32 c #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (.f32 c c) #s(literal -1 binary32))) (+.f32 (pow.f32 c #s(literal 6 binary32)) #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (.f32 c (+.f32 c #s(literal 1 binary32))) (.f32 #s(literal -1 binary32) (+.f32 c #s(literal 1 binary32))))
(+.f32 (.f32 (+.f32 c #s(literal 1 binary32)) c) (.f32 (+.f32 c #s(literal 1 binary32)) #s(literal -1 binary32)))
(+.f32 (*.f32 c c) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 c c))
(.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (.f32 (/.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))) #s(literal 2 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 (/.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)))) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (.f32 (/.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))) #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32) (.f32 (.f32 (/.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 (.f32 (/.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 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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))))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (.f32 (/.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))) #s(literal 2 binary32)))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 (/.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 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (.f32 (/.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))) #s(literal 3 binary32)))) (fma.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32) (.f32 (.f32 (/.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 (.f32 (/.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 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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))))) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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))))) (sqrt.f32 (PI.f32)))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) (sqrt.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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)) (pow.f32 (pow.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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))))) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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))))))
(sqrt.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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))) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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)))) (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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)))) (sqrt.f32 (PI.f32))))
(pow.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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)))))) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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)))) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))
(pow.f32 (sqrt.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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)))))) #s(literal 2 binary32))
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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))))) #s(literal 1 binary32))
(exp.f32 (fma.f32 (log.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) #s(literal 1/2 binary32) (log.f32 (sqrt.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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))))))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) #s(literal 1 binary32)))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 (PI.f32))) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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))))))
(neg.f32 (/.f32 (sqrt.f32 (PI.f32)) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (/.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)))))))

eval411.0ms (3.8%)

Memory: 45.6MiB live, 344.6MiB allocated
Compiler: Compiled 85 246 to 8 446 computations (90.1% saved)

prune106.0ms (1%)

Memory

-25.5MiB live, 101.3MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	1 545	9	1 554
Fresh	5	9	14
Picked	4	1	5
Done	0	3	3
Total	1 554	22	1 576

Accuracy

100.0%

Counts

1 576 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.4%	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	89.8%	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (-.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	92.6%	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (sqrt (PI)) (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))) (*.f32 (/.f32 cosTheta (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	91.5%	(pow.f32 #s(approx (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 2 binary32))
▶	92.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
	92.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
	98.0%	(/.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)) (sqrt.f32 (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32)) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.0%	(/.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)))))
✓	98.4%	(/.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)))))
▶	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 #s(approx (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
▶	92.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	33.2%	(-.f32 (/.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 (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 (*.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 (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)))))
	57.1%	(.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))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 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))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)))))
	98.0%	#s(approx (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (neg.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))))))
	95.7%	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
	93.3%	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3/2 binary32)) cosTheta))
✓	93.2%	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓	4.9%	#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 1 594 to 1 023 computations (35.8% saved)

simplify172.0ms (1.6%)

Memory

21.8MiB live, 130.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 c #s(literal 1 binary32))
cost-diff	0	(.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))))
cost-diff	2912	(pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))) #s(literal 1/2 binary32))
cost-diff	3552	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
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 #s(approx (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	64	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 #s(approx (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 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 #s(approx (/ (+ cosTheta ( (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)))) cosTheta))
cost-diff	480	(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta))
cost-diff	0	(fma.f32 c c #s(literal -1 binary32))
cost-diff	96	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
cost-diff	512	(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
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 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
cost-diff	160	(-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))
cost-diff	192	(/.f32 cosTheta (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32)))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	910
0	127	905
1	217	847
2	473	801
3	1336	771
4	3077	757
5	6378	713
0	8303	670

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

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

localize350.0ms (3.3%)

Memory

-29.3MiB live, 266.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.49032903414765383	(/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
accuracy	0.5146675293053261	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
accuracy	1.5881793584178503	#s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))
accuracy	0.30078125	(/.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 #s(approx (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.7101371067428704	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 #s(approx (/ (+ cosTheta ( (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)))) cosTheta))
accuracy	0.98828125	(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
accuracy	0.44252079813221834	(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
accuracy	1.4476772067636976	(fma.f32 c c #s(literal -1 binary32))
accuracy	1.6684983516914627	#s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))
accuracy	9.37223946352285	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (*.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))))
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.640625	(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
accuracy	0.98828125	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	1.5878553936021675	#s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
accuracy	0.328125	(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32))))
accuracy	0.34765625	(*.f32 (PI.f32) cosTheta)
accuracy	0.35142047145735733	(PI.f32)
accuracy	0.4921875	(/.f32 cosTheta (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32)))

Samples

240.0ms	253×	0	valid
5.0ms	3×	5	exit

Compiler

Compiled 1 712 to 153 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-div: 46.0ms (32.6% of total)

ival-mult: 46.0ms (32.6% of total)

ival-add: 14.0ms (9.9% of total)

ival-sqrt: 10.0ms (7.1% of total)

ival-pow: 8.0ms (5.7% of total)

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

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

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

adjust: 1.0ms (0.7% of total)

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

exact: 1.0ms (0.7% of total)

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

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

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

series124.0ms (1.2%)

Memory

-0.1MiB live, 79.6MiB allocated

Counts

26 → 248

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
43.0ms	cosTheta	@	-inf	((/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI))) (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (+ (* c c) -1) (* (- 2 (/ 1 cosTheta)) (neg cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (- c 1) (PI) (* (PI) cosTheta) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (sqrt (PI))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))
27.0ms	cosTheta	@	0	((/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI))) (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (+ (* c c) -1) (* (- 2 (/ 1 cosTheta)) (neg cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (- c 1) (PI) (* (PI) cosTheta) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (sqrt (PI))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))
9.0ms	cosTheta	@	inf	((/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI))) (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (+ (* c c) -1) (* (- 2 (/ 1 cosTheta)) (neg cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (- c 1) (PI) (* (PI) cosTheta) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (sqrt (PI))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))
6.0ms	c	@	0	((/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI))) (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (+ (* c c) -1) (* (- 2 (/ 1 cosTheta)) (neg cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (- c 1) (PI) (* (PI) cosTheta) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (sqrt (PI))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))
3.0ms	c	@	-inf	((/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (+ (+ 1 c) (* (/ 1 (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ cosTheta (/ (sqrt (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta))) (PI))) (- (* (- 1 cosTheta) (PI)) (* (PI) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI)))) (/ 1 (/ (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (* (- c 1) (sqrt (PI))))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (+ (* c c) -1) (* (- 2 (/ 1 cosTheta)) (neg cosTheta)) (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta))) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) (- c 1) (PI) (* (PI) cosTheta) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/ 1 (sqrt (PI))) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))))

simplify288.0ms (2.7%)

Memory

14.7MiB live, 283.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1763	20389
1	5632	19350
0	8146	18461

Stop Event

1×	iter limit
1×	node limit

Counts

248 → 247

Calls

Call 1

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

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

rewrite364.0ms (3.4%)

Memory

8.5MiB live, 291.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	587
0	125	582
1	516	543
2	4079	543
0	8124	533

Stop Event

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

Counts

26 → 744

Calls

Call 1

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

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

eval608.0ms (5.6%)

Memory: -1.8MiB live, 346.6MiB allocated
Compiler: Compiled 73 672 to 7 196 computations (90.2% saved)

prune153.0ms (1.4%)

Memory

-8.5MiB live, 119.8MiB allocated

Pruning

28 alts after pruning (23 fresh and 5 done)

	Pruned	Kept	Total
New	1 307	13	1 320
Fresh	3	10	13
Picked	4	1	5
Done	0	4	4
Total	1 314	28	1 342

Accuracy

100.0%

Counts

1 342 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.8%	(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (-.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	92.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) (.f32 #s(approx (- c 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)) (sqrt.f32 (PI.f32)))))
	92.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 c #s(literal 1 binary32))) (-.f32 c #s(literal 1 binary32)) (.f32 #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
	98.0%	(/.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)) (sqrt.f32 (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32)) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (PI.f32)) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓	98.0%	(/.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)))))
✓	98.4%	(/.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)))))
	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (PI.f32) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 #s(approx (/ (+ cosTheta ( (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) 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 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
✓	92.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
	33.2%	(-.f32 (/.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 (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 (*.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 (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)))))
	93.0%	(+.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) c) (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) #s(literal -1 binary32)))
	93.0%	(.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) (-.f32 c #s(literal 1 binary32)))
	57.1%	(.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))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 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))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)))))
	92.6%	(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 c #s(literal 1 binary32)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (neg.f32 c) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)))
	92.7%	(.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))))
	92.4%	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) (-.f32 c #s(literal 1 binary32)))) (sqrt.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) (-.f32 c #s(literal 1 binary32)))))
	92.7%	(.f32 (sqrt.f32 (PI.f32)) (/.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))))
	98.0%	#s(approx (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (neg.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta))))))
	95.7%	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
	93.3%	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3/2 binary32)) cosTheta))
✓	93.2%	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓	4.9%	#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 3 229 to 1 052 computations (67.4% saved)

regimes167.0ms (1.5%)

Memory

31.6MiB live, 113.5MiB allocated

Counts

56 → 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) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(.f32 (sqrt.f32 (PI.f32)) (/.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))))
(.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) (-.f32 c #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) #s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (- c 1) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (* (PI) (log (E)))))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) 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)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
(+.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) c) (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 c #s(literal 1 binary32))) (-.f32 c #s(literal 1 binary32)) (.f32 #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))) (.f32 #s(approx (- c 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)) (sqrt.f32 (PI.f32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) (-.f32 c #s(literal 1 binary32)))) (sqrt.f32 (.f32 (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) 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 (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 (/.f32 #s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (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 (/.f32 (sqrt.f32 (.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.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 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #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 (/.f32 (sqrt.f32 (.f32 (PI.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 (/.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (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 (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 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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 (/.f32 #s(literal 1 binary32) (/.f32 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 (/.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 (sqrt.f32 #s(approx (/ (+ cosTheta ( (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 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 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 #s(approx (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 c #s(literal 1 binary32)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (neg.f32 c) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)))
(/.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 #s(approx (/ (+ cosTheta (* (/ 1 (- 1 cosTheta)) (* (neg cosTheta) cosTheta))) (* (/ 1 (- 1 cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* cosTheta (sqrt (PI)))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3/2 binary32)) cosTheta))
(pow.f32 #s(approx (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) (*.f32 (sqrt.f32 cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))) #s(literal 2 binary32))
(/.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 cosTheta (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (neg.f32 cosTheta) cosTheta))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) #s(approx (/ (sqrt (PI)) (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1)))) (*.f32 (/.f32 cosTheta (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
#s(approx (pow (pow (* (- c 1) (/ (sqrt (PI)) (+ (* (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))))) 1/2) 2) (neg.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 (pow.f32 (exp.f32 cosTheta) 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 (.f32 (PI.f32) (log.f32 (E.f32)))))) (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 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 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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 #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 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (-.f32 c #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 c #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))))
(/.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 (/.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)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)))
(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (+ ( (+ (* c c) -1) (sqrt (PI))) (* (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (exp cosTheta) cosTheta)) (- c 1))) (-.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) cosTheta)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (/.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)))))) #s(literal 1/2 binary32)) #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))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 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))) cosTheta) (pow.f32 (exp.f32 cosTheta) (neg.f32 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)) (sqrt.f32 (PI.f32))) (-.f32 (.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (.f32 (/.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))) #s(literal 2 binary32)))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (.f32 (/.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 (/.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 (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 (*.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 (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)))))

Outputs

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

Calls

6 calls:

56.0ms	(/.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)))))
51.0ms	(+.f32 #s(literal 1 binary32) c)
15.0ms	(.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)))
15.0ms	(+.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))))
14.0ms	c

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)

regimes197.0ms (1.8%)

Memory

5.8MiB live, 42.8MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

167.0ms	(.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)))
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	(/.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	c
6.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.7%	1	`cosTheta`
95.7%	1	`c`
95.7%	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)))))`
95.7%	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))))`
95.7%	1	`(+.f32 #s(literal 1 binary32) c)`
95.7%	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)

regimes29.0ms (0.3%)

Memory

-22.0MiB live, 52.9MiB allocated

Counts

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

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:

8.0ms	(.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)))
6.0ms	c
4.0ms	(+.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))))
4.0ms	(/.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)))))
4.0ms	cosTheta

Results

Accuracy	Segments	Branch
93.2%	1	`cosTheta`
93.2%	1	`c`
93.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
93.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
93.2%	1	`(+.f32 #s(literal 1 binary32) c)`
93.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes9.0ms (0.1%)

Memory

25.9MiB live, 25.9MiB 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:

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 #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 (/.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
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
4.9%	1	`(+.f32 #s(literal 1 binary32) c)`
4.9%	1	`cosTheta`
4.9%	1	`c`
4.9%	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)))))`
4.9%	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))))`
4.9%	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)

simplify30.0ms (0.3%)

Memory

-8.1MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	127
1	79	127
2	103	127
3	120	127
4	147	127
5	177	127
6	200	127
7	308	127
8	416	127
9	417	127

Stop Event

1×

saturated

Calls

Call 1

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

soundness791.0ms (7.3%)

Memory

-23.9MiB live, 774.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	477
0	115	437
1	435	420
2	3036	411
0	11117	396
0	64	416
0	110	419
1	440	383
2	3597	380
0	9073	369
0	18	73
0	33	73
1	141	66
2	1060	61
0	8551	61
0	1715	20474
1	5975	19324
0	8118	18724
0	407	3010
1	1237	2916
2	4721	2838
0	8274	2706
0	80	587
0	125	582
1	516	543
2	4079	543
0	8124	533

Stop Event

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

Compiler

Compiled 334 to 172 computations (48.5% saved)

preprocess25.0ms (0.2%)

Memory: 22.1MiB live, 60.6MiB allocated
Compiler: Compiled 304 to 144 computations (52.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	53	127
1	79	127
2	103	127
3	120	127
4	147	127
5	177	127
6	200	127
7	308	127
8	416	127
9	417	127

Iter	Nodes	Cost
0	53	127
1	79	127
2	103	127
3	120	127
4	147	127
5	177	127
6	200	127
7	308	127
8	416	127
9	417	127

start0.0ms (0%)

analyze28.0ms (0.3%)

sample2.7s (25%)

explain476.0ms (4.4%)

preprocess208.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify162.0ms (1.5%)

localize90.0ms (0.8%)

series37.0ms (0.3%)

simplify202.0ms (1.9%)

rewrite184.0ms (1.7%)

eval119.0ms (1.1%)

prune26.0ms (0.2%)

simplify216.0ms (2%)

localize200.0ms (1.9%)

series128.0ms (1.2%)

simplify252.0ms (2.3%)

rewrite325.0ms (3%)

eval170.0ms (1.6%)

prune67.0ms (0.6%)

simplify175.0ms (1.6%)

localize237.0ms (2.2%)

series236.0ms (2.2%)

simplify317.0ms (2.9%)

rewrite398.0ms (3.7%)

eval411.0ms (3.8%)

prune106.0ms (1%)

simplify172.0ms (1.6%)

localize350.0ms (3.3%)

series124.0ms (1.2%)

simplify288.0ms (2.7%)

rewrite364.0ms (3.4%)

eval608.0ms (5.6%)

prune153.0ms (1.4%)

regimes167.0ms (1.5%)

regimes197.0ms (1.8%)

regimes29.0ms (0.3%)

regimes9.0ms (0.1%)

simplify30.0ms (0.3%)

soundness791.0ms (7.3%)

preprocess25.0ms (0.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	53	127
1	79	127
2	103	127
3	120	127
4	147	127
5	177	127
6	200	127
7	308	127
8	416	127
9	417	127