Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze30.0ms (0.3%)

Memory

24.9MiB live, 64.1MiB 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)

sample2.3s (21.9%)

Memory

-208.9MiB live, 3 272.6MiB allocated

Samples

1.7s	8 256×	0	valid
15.0ms	71×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 228.0ms (18.9% of total)

ival-div: 188.0ms (15.6% of total)

ival-mult: 163.0ms (13.5% of total)

ival-sqrt: 149.0ms (12.3% of total)

ival-add: 98.0ms (8.1% of total)

ival-sub: 93.0ms (7.7% of total)

ival-<: 91.0ms (7.5% of total)

ival-exp: 68.0ms (5.6% of total)

ival-neg: 52.0ms (4.3% of total)

ival-pi: 34.0ms (2.8% of total)

ival-and: 24.0ms (2% of total)

exact: 16.0ms (1.3% of total)

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

Bogosity

explain272.0ms (2.6%)

Memory

19.9MiB live, 376.3MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

106.0ms

512×

valid

Compiler

Compiled 407 to 76 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-sub: 41.0ms (47.1% of total)

ival-div: 10.0ms (11.5% of total)

ival-exp: 10.0ms (11.5% of total)

ival-mult: 9.0ms (10.3% of total)

ival-sqrt: 7.0ms (8% of total)

ival-add: 5.0ms (5.7% of total)

ival-neg: 3.0ms (3.4% of total)

ival-pi: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess205.0ms (2%)

Memory

3.8MiB live, 77.7MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Status

Accuracy

Program

▶

98.0%

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

Compiler

Compiled 25 to 18 computations (28% saved)

simplify154.0ms (1.5%)

Memory

-12.8MiB live, 65.2MiB 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)

localize62.0ms (0.6%)

Memory

-18.1MiB live, 112.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.10901129138909577	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.2578125	(/.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	0.6409950683790943	(*.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

35.0ms

256×

valid

Compiler

Compiled 254 to 38 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 5.0ms (19.2% of total)

ival-sqrt: 5.0ms (19.2% of total)

ival-exp: 4.0ms (15.4% of total)

ival-mult: 4.0ms (15.4% of total)

ival-add: 3.0ms (11.5% of total)

ival-sub: 2.0ms (7.7% of total)

ival-pi: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series124.0ms (1.2%)

Memory

-4.8MiB live, 33.2MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (patch (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())

Outputs
#s(alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
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#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor 0 cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta) (taylor 0 cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
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#s(alt (/ (+ (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) (taylor 0 cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -2 cosTheta)) (taylor 0 cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
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#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (* -2 cosTheta) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (taylor -inf cosTheta) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2))))) (taylor -inf cosTheta) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))))) (taylor -inf cosTheta) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor -inf cosTheta) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (taylor -inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))))))))) (taylor -inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor -inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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))))))))) (taylor -inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (* -2 cosTheta) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta	@	-inf	((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta))
6.0ms	cosTheta	@	inf	((* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (/ 1 (sqrt (PI))) (- (- 1 cosTheta) cosTheta))
3.0ms	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))

simplify163.0ms (1.6%)

Memory

46.0MiB live, 194.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	3223
1	1237	3123
2	4720	3043
0	8272	2891

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 80

Calls

Call 1

Inputs
(/ 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 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
1
(+ 1 c)
(+ 1 c)
(+ 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 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))
(* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))
c
(* c (+ 1 (/ 1 c)))
(* c (+ 1 (/ 1 c)))
(* c (+ 1 (/ 1 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))
c
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
c
(* c (+ 1 (/ 1 c)))
(* c (+ 1 (/ 1 c)))
(* c (+ 1 (/ 1 c)))
(* (/ 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)))))))))))
(* (/ 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)
1
(+ 1 (* -2 cosTheta))
(+ 1 (* -2 cosTheta))
(+ 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))
(* cosTheta (- (/ 1 cosTheta) 2))
(* 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)))))))))
(* -2 cosTheta)
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))

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

rewrite199.0ms (1.9%)

Memory

-0.3MiB live, 226.4MiB 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
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eval128.0ms (1.2%)

Memory: -5.0MiB live, 231.2MiB allocated
Compiler: Compiled 20 812 to 2 791 computations (86.6% saved)

prune37.0ms (0.4%)

Memory

7.1MiB live, 85.0MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	514	22	536
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	515	22	537

Accuracy

99.9%

Counts

537 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.7%	(/.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32))))
▶	92.3%	(/.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)))
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 (/.f32 #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 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))))
	98.1%	(/.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)))
	98.5%	(/.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)))))
	98.2%	(/.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)))))
▶	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (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)))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.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)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	98.6%	(/.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)))))
	98.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	98.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	95.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	92.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	34.3%	(-.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)))))
	58.6%	(-.f32 (/.f32 (+.f32 c #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 (/.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)))))
	58.6%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)))
▶	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	93.7%	#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 1 320 to 760 computations (42.4% saved)

simplify152.0ms (1.4%)

Memory

-13.9MiB live, 225.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	160	(*.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))))
cost-diff	192	(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	0	(fma.f32 c c #s(literal -1 binary32))
cost-diff	288	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
cost-diff	512	(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))
cost-diff	0	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	0	(/.f32 #s(literal 1 binary32) c)
cost-diff	0	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
cost-diff	0	(/.f32 (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	65	639
0	110	639
1	182	621
2	383	612
3	895	604
4	1985	590
5	4666	588
0	8221	558

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

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

localize173.0ms (1.6%)

Memory

9.7MiB live, 362.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.10901129138909577	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.2578125	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.34765625	(*.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))))
accuracy	0.47693256837909415	(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
accuracy	0.5546875	(/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))
accuracy	0.796875	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
accuracy	25.422288372042384	(fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
accuracy	30.498262921457695	(fma.f32 c c #s(literal -1 binary32))
accuracy	0.2578125	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.5546875	(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
accuracy	0.9012826398858049	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
accuracy	1.0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	0	(/.f32 #s(literal 1 binary32) c)
accuracy	30.38950123055726	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
accuracy	0.10901129138909577	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.24609375	(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
accuracy	0.2578125	(/.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	0.3671875	(*.f32 cosTheta (sqrt.f32 (PI.f32)))

Samples

120.0ms

256×

valid

Compiler

Compiled 1 162 to 104 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 23.0ms (26.9% of total)

ival-mult: 21.0ms (24.5% of total)

ival-pow: 11.0ms (12.9% of total)

ival-add: 7.0ms (8.2% of total)

ival-sqrt: 7.0ms (8.2% of total)

ival-exp: 4.0ms (4.7% of total)

const: 4.0ms (4.7% of total)

ival-sub: 3.0ms (3.5% of total)

ival-cbrt: 2.0ms (2.3% of total)

ival-pi: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series240.0ms (2.3%)

Memory

6.3MiB live, 439.8MiB allocated

Counts

22 → 372

Calls

Call 1

Inputs
#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())
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#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())
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#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())
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#s(alt (fma.f32 c c #s(literal -1 binary32)) (patch (fma.f32 c c #s(literal -1 binary32)) #<representation binary32>) () ())
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#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ())
#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())
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Outputs
#s(alt (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (taylor 0 c) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor 0 c) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 c) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 c) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 c) (taylor 0 c) (#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ())
#s(alt (+ 1 c) (taylor 0 c) (#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))))))) (taylor 0 c) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ())
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ())
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ())
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ())
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f32 #s(literal 1 binary32) c) (patch (/.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (taylor 0 c) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
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#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) (patch #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) (- c 1)) (taylor inf cosTheta) (#s(alt (/.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)) (patch (/.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)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1)))) (/ 1 (- c 1))) (taylor inf cosTheta) (#s(alt (/.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)) (patch (/.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)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1))))) (/ 1 (- c 1))) (taylor inf cosTheta) (#s(alt (/.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)) (patch (/.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)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1)))))) (/ 1 (- c 1))) (taylor inf cosTheta) (#s(alt (/.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)) (patch (/.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)) #<representation binary32>) () ())) ())
#s(alt (/ (- c 1) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)) (taylor inf cosTheta) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (taylor inf cosTheta) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2)))))) (pow cosTheta 4))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)))) (taylor inf cosTheta) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2)))))) (- c 1))) (* (sqrt -2) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 5) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 4) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))))) (pow cosTheta 6))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (+ (* -1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)))))) (taylor inf cosTheta) (#s(alt (/.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))) (patch (/.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))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)) (taylor inf cosTheta) (#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2))) 1)) (taylor inf cosTheta) (#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)))) 1)) (taylor inf cosTheta) (#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (- c 1)) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2))))) 1)) (taylor inf cosTheta) (#s(alt (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)))))) (patch (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)))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (sqrt -2))) (taylor inf cosTheta) (#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))) (taylor inf cosTheta) (#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/8 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3))))) (+ (* 1/16 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5))))) (+ (* 1/2 (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2))))) (* (pow (/ 1 (PI)) 1/6) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (patch (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf cosTheta) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf cosTheta) (#s(alt (.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)))) (patch (.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)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
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#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 cosTheta (sqrt.f32 (PI.f32))) (patch (.f32 cosTheta (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 cosTheta (sqrt.f32 (PI.f32))) (patch (.f32 cosTheta (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 cosTheta (sqrt.f32 (PI.f32))) (patch (.f32 cosTheta (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 cosTheta (sqrt.f32 (PI.f32))) (patch (.f32 cosTheta (sqrt.f32 (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -2 cosTheta) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ cosTheta (PI))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* 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))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* 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)))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))))) (taylor -inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))) (taylor -inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 (PI)))) (taylor -inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor -inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor -inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor -inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2)))) (taylor -inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))) (taylor -inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -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))))))) (taylor -inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -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)))))))) (taylor -inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
66.0ms	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) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6)) (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))
43.0ms	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) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6)) (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))
34.0ms	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) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6)) (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))
28.0ms	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) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6)) (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))
24.0ms	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) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (+ (* c c) -1) (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta)))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6)) (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (cbrt (PI))) (/ (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (pow (PI) 1/6))) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (- (- 1 cosTheta) cosTheta) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))

simplify227.0ms (2.2%)

Memory

0.5MiB live, 334.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	932	18169
1	3026	17455
0	8186	16639

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 362

Calls

Call 1

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

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

rewrite247.0ms (2.4%)

Memory

14.2MiB live, 286.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	390
0	110	372
1	426	333
2	3432	333
0	11238	333

Stop Event

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

Counts

22 → 723

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

Outputs
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eval223.0ms (2.1%)

Memory: 16.7MiB live, 391.4MiB allocated
Compiler: Compiled 48 832 to 4 530 computations (90.7% saved)

prune67.0ms (0.6%)

Memory

-2.4MiB live, 161.2MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1 210	21	1 231
Fresh	9	8	17
Picked	4	1	5
Done	0	0	0
Total	1 223	30	1 253

Accuracy

100.0%

Counts

1 253 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.0%	(pow.f32 (pow.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	14.9%	(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	58.7%	(/.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))))
	14.1%	(/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
	92.2%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta)) (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (PI.f32))))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 (/.f32 #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 (/.f32 #s(literal 1 binary32) (+.f32 c #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))))
	93.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	87.8%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 c c (-.f32 #s(literal 1 binary32) c))) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.5%	(/.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)))))
	98.2%	(/.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) 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 (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)))))
	98.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	92.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( cosTheta (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	95.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	34.3%	(-.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)))))
▶	98.7%	(.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
	58.6%	(*.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)))
	56.0%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta))))
	13.1%	(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (*.f32 (-.f32 c #s(literal 1 binary32)) cosTheta))) #s(literal -1 binary32)))
	93.3%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 c #s(literal -1 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
▶	93.7%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 1 734 to 1 051 computations (39.4% saved)

simplify140.0ms (1.3%)

Memory

8.7MiB live, 192.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
cost-diff	0	(+.f32 #s(literal 1 binary32) c)
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.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)))))
cost-diff	64	(+.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))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	192	(/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
cost-diff	192	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
cost-diff	0	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
cost-diff	0	#s(approx (+ 1 c) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
cost-diff	192	(+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
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 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
cost-diff	0	(/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
cost-diff	0	(.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
cost-diff	64	(-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
cost-diff	160	(-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	750
0	128	750
1	216	734
2	495	723
3	1807	719
4	4510	711
0	8228	672

Stop Event

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

Calls

Call 1

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

localize258.0ms (2.5%)

Memory

17.6MiB live, 424.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.04296875	(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
accuracy	0.10901129138909577	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.2578125	(/.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)))))
accuracy	0.6409950683790943	(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
accuracy	0.10901129138909577	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.20703125	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
accuracy	0.2578125	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.3912887695368841	(/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
accuracy	0.5546875	(/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)
accuracy	0.9012826398858049	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))
accuracy	1.0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	1.738661982192053	#s(approx (+ 1 c) #s(literal 1 binary32))
accuracy	0	(sqrt.f32 (PI.f32))
accuracy	0	(PI.f32)
accuracy	0.3671875	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
accuracy	1.7268692436785713	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
accuracy	0.39453125	(/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (*.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
accuracy	0.5856437988422102	(.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
accuracy	0.796875	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
accuracy	15.759034786510716	(fma.f32 c c #s(literal -1 binary32))

Samples

155.0ms

256×

valid

Compiler

Compiled 1 362 to 120 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 41.0ms (33% of total)

ival-div: 24.0ms (19.3% of total)

ival-pow: 23.0ms (18.5% of total)

ival-add: 7.0ms (5.6% of total)

ival-exp: 7.0ms (5.6% of total)

ival-sub: 6.0ms (4.8% of total)

ival-sqrt: 6.0ms (4.8% of total)

ival-pow2: 5.0ms (4% of total)

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

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

exact: 1.0ms (0.8% of total)

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

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

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

series122.0ms (1.2%)

Memory

-8.5MiB live, 222.1MiB allocated

Counts

26 → 408

Calls

Call 1

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

Outputs
#s(alt (- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2)))))) (taylor 0 c) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 cosTheta) (* -1 (* (/ c (exp (pow cosTheta 2))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2)))))) (taylor 0 c) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 cosTheta) (* c (- (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2)))))) (taylor 0 c) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 cosTheta) (* c (- (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2)))))) (taylor 0 c) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) (taylor 0 cosTheta) (#s(alt (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (patch (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* cosTheta (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (pow c 2)) (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (pow c 2)) (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow cosTheta 2) (pow (- (pow c 2) 1) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow cosTheta 2) (+ (* 2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2))) (taylor inf cosTheta) (#s(alt (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow cosTheta 2) (- (+ (* -1 (/ (pow (- c 1) 2) (* (pow cosTheta 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)) (* -2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))))) (taylor inf cosTheta) (#s(alt (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (* (pow cosTheta 2) (- (+ (* -1 (/ (pow (- c 1) 2) (* (pow cosTheta 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)) (* -2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))))) (taylor inf cosTheta) (#s(alt (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (* 2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* 2 (/ (* (pow (- c 1) 2) (- (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* 2 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (pow cosTheta 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (* 2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- c 1) (* cosTheta (pow (- (pow c 2) 1) 2))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ c (pow (- (pow c 2) 1) 2))) (/ 1 (pow (- (pow c 2) 1) 2))) cosTheta) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow cosTheta 2))) (/ c (pow (- (pow c 2) 1) 2))) (+ (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ 1 (pow (- (pow c 2) 1) 2)))) cosTheta) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow (- c 1) 2)) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* 2 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (pow cosTheta 3))) (/ c (pow (- (pow c 2) 1) 2))) (+ (* -4 (/ (pow (- c 1) 5) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (pow (- c 1) 3) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (+ (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ 1 (pow (- (pow c 2) 1) 2)))))) cosTheta) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- c 1) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (/ (+ ( (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (/ (+ ( (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2)))))) (pow cosTheta 4))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (/ (+ ( (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2)))))) (- c 1))) (* (sqrt -2) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 5) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 4) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))))) (pow cosTheta 6))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (+ (* -1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)))))) (taylor inf cosTheta) (#s(alt #s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (patch #s(approx (/ 1 (/ (+ ( (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (patch #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (* cosTheta (PI))) (sqrt -1/2)) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* 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))))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* 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)))))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
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#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf cosTheta) (#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf cosTheta) (#s(alt (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (patch (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ cosTheta (PI))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* 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))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* 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)))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (patch (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -2 cosTheta) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* (sqrt cosTheta) (sqrt -2)) (taylor inf cosTheta) (#s(alt (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (patch (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (patch (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (patch (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (patch (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2))))))) (taylor -inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- (+ (* -1 (- (pow c 2) 1)) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (sqrt 2)))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2))))))) (taylor -inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- (+ (* -1 (- (pow c 2) 1)) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))))) (taylor -inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* -2 cosTheta) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))) (taylor -inf cosTheta) (#s(alt (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (patch (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #<representation binary32>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	cosTheta	@	inf	((- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (- (- 1 cosTheta) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))
12.0ms	cosTheta	@	-inf	((- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (- (- 1 cosTheta) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))
11.0ms	c	@	inf	((- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (- (- 1 cosTheta) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))
10.0ms	c	@	0	((- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (- (- 1 cosTheta) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))
8.0ms	c	@	-inf	((- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (pow (cbrt (PI)) -3/2) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt (/ 1 (PI))) (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (- (- 1 cosTheta) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)))

simplify276.0ms (2.6%)

Memory

-15.2MiB live, 280.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1585	23517
1	5352	22701
0	8095	21839

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 398

Calls

Call 1

Inputs
(- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))
(- (+ (* -1 cosTheta) (* -1 (* (/ c (exp (pow cosTheta 2))) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))
(- (+ (* -1 cosTheta) (* c (- (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))
(- (+ (* -1 cosTheta) (* c (- (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))
(- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))
(- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (+ (* 2 (/ (* c (- 1 (* 2 cosTheta))) (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2))) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))
(- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (+ (* c (- (* c (- (+ (* -2 (pow cosTheta 2)) (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (* -2 (/ (- 1 (* 2 cosTheta)) (* (PI) (pow (exp (pow cosTheta 2)) 2)))))) (pow cosTheta 2))) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))
(- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (+ (* c (- (* c (- (+ (* -2 (pow cosTheta 2)) (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (* (pow c 2) (pow cosTheta 2)))) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (* -2 (/ (- 1 (* 2 cosTheta)) (* (PI) (pow (exp (pow cosTheta 2)) 2)))))) (pow cosTheta 2))) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))
(* -1 (/ (* cosTheta (- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))))
(+ (* -1 (/ (* cosTheta (- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2)))))) (* c (- (/ (* cosTheta (- (+ (* -1 cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (* -2 (/ (* cosTheta (* (- 1 (* 2 cosTheta)) (- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2)))) 2))))))))
(+ (* -1 (/ (* cosTheta (- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2)))))) (* c (- (+ (* c (- (/ (* cosTheta (+ (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (+ (* -1 (/ (* cosTheta (* (- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2)))))) (- (+ (* -2 (pow cosTheta 2)) (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2)))))) (pow (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2)))) 2))) (* 2 (/ (* (- 1 (* 2 cosTheta)) (- (/ (* cosTheta (- (+ (* -1 cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (* -2 (/ (* cosTheta (* (- 1 (* 2 cosTheta)) (- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2)))) 2))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))))))))) (/ (* cosTheta (- (+ (* -1 cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2)))))) (* -2 (/ (* cosTheta (* (- 1 (* 2 cosTheta)) (- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2)))) 2))))))))
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(* -1 (/ cosTheta (- (+ (* 2 (/ cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (pow cosTheta 2)) (/ 1 (* (PI) (pow (exp (pow cosTheta 2)) 2))))))
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c
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c
(* c (+ 1 (/ 1 c)))
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c
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
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(/ 1 c)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
c
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(/ 1 c)
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
c
(* c (+ 1 (/ 1 c)))
(* c (+ 1 (/ 1 c)))
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(pow c 2)
(* (pow c 2) (- 1 (/ 1 (pow c 2))))
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(* (pow c 2) (- 1 (/ 1 (pow c 2))))
(* -1 (* (sqrt (/ 1 (PI))) (- c 1)))
(- (* cosTheta (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (* (sqrt (/ 1 (PI))) (- c 1)))
(- (* cosTheta (- (+ (* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c))))) (pow c 2)) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (* (sqrt (/ 1 (PI))) (- c 1)))
(- (* cosTheta (- (+ (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (- 1 c))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c))))) (pow c 2)) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (* (sqrt (/ 1 (PI))) (- c 1)))
(* -1 (/ (pow (- c 1) 2) (PI)))
(- (* 2 (/ (* cosTheta (pow (- c 1) 2)) (PI))) (/ (pow (- c 1) 2) (PI)))
(- (* cosTheta (- (* cosTheta (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (* -2 (/ (pow (- c 1) 2) (PI))))) (/ (pow (- c 1) 2) (PI)))
(- (* cosTheta (- (* cosTheta (+ (* -4 (/ (* cosTheta (pow (- c 1) 2)) (PI))) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)))) (* -2 (/ (pow (- c 1) 2) (PI))))) (/ (pow (- c 1) 2) (PI)))
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI)))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (+ (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* cosTheta (- (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c)))) (- c 1)) (+ (* -2 (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI))))) (* -1 (* (sqrt (pow (PI) 3)) (/ (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)) (pow (- c 1) 2)))))))) (* -2 (sqrt (PI)))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (+ (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* cosTheta (- (+ (* cosTheta (- (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- 1 c))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1)) (+ (* -2 (- (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c)))) (- c 1)) (+ (* -2 (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI))))) (* -1 (* (sqrt (pow (PI) 3)) (/ (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)) (pow (- c 1) 2))))))) (+ (* -1 (/ (* (PI) (* (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)) (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI)))))) (pow (- c 1) 2))) (* 4 (sqrt (PI))))))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c)))) (- c 1))) (+ (* -2 (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI))))) (* -1 (* (sqrt (pow (PI) 3)) (/ (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)) (pow (- c 1) 2)))))))) (* -2 (sqrt (PI)))))))
(* -1 (/ (* cosTheta (PI)) (- c 1)))
(* cosTheta (+ (* -2 (/ (* cosTheta (PI)) (- c 1))) (* -1 (/ (PI) (- c 1)))))
(* cosTheta (+ (* -1 (/ (PI) (- c 1))) (* cosTheta (- (* -1 (* cosTheta (+ (* 4 (/ (PI) (- c 1))) (/ (* (pow (PI) 2) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (pow (- c 1) 3))))) (* 2 (/ (PI) (- c 1)))))))
(* cosTheta (+ (* -1 (/ (PI) (- c 1))) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -4 (/ (PI) (- c 1))) (+ (* 2 (+ (* 4 (/ (PI) (- c 1))) (/ (* (pow (PI) 2) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (pow (- c 1) 3)))) (* 2 (/ (* (pow (PI) 2) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (pow (- c 1) 3))))))) (+ (* 4 (/ (PI) (- c 1))) (/ (* (pow (PI) 2) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (pow (- c 1) 3))))) (* 2 (/ (PI) (- c 1)))))))
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1))) (- c 1)))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))))) (/ (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1)))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1)))) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- c 1)))) (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))))) (/ (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1))))))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (PI)))
(* (/ 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)))))))))))
(* (/ 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)
(* (/ 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)
(* (/ 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)) (* 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)))))))))))
(* 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))) (* 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)))))))))))
(* (/ 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)
(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 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
1
(+ 1 (* -2 cosTheta))
(+ 1 (* -2 cosTheta))
(+ 1 (* -2 cosTheta))
1
(+ 1 (* -1 cosTheta))
(+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))
(+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))
(* cosTheta (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))
(* cosTheta (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (pow c 2)) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))
(* cosTheta (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (pow c 2)) (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))))
(* cosTheta (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (pow c 2)) (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))))
(* (pow cosTheta 2) (pow (- (pow c 2) 1) 2))
(* (pow cosTheta 2) (+ (* 2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)))
(* (pow cosTheta 2) (- (+ (* -1 (/ (pow (- c 1) 2) (* (pow cosTheta 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)) (* -2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))))))
(* (pow cosTheta 2) (- (+ (* -1 (/ (pow (- c 1) 2) (* (pow cosTheta 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)) (* -2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))))))
(/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))
(+ (* -2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)))
(- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (* 2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))))
(- (+ (* -1 (/ (+ (* 2 (/ (* (pow (- c 1) 2) (- (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* 2 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (pow cosTheta 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (* 2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))))
(/ (- c 1) (* cosTheta (pow (- (pow c 2) 1) 2)))
(/ (- (+ (* -2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ c (pow (- (pow c 2) 1) 2))) (/ 1 (pow (- (pow c 2) 1) 2))) cosTheta)
(/ (- (+ (* -1 (/ (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow cosTheta 2))) (/ c (pow (- (pow c 2) 1) 2))) (+ (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ 1 (pow (- (pow c 2) 1) 2)))) cosTheta)
(/ (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow (- c 1) 2)) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* 2 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (pow cosTheta 3))) (/ c (pow (- (pow c 2) 1) 2))) (+ (* -4 (/ (pow (- c 1) 5) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (pow (- c 1) 3) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (+ (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ 1 (pow (- (pow c 2) 1) 2)))))) cosTheta)
(/ (- c 1) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))
(- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2)))))) (pow cosTheta 4))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2)))))) (- c 1))) (* (sqrt -2) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 5) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 4) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))))) (pow cosTheta 6))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (+ (* -1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))))))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (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)))) (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 (+ 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 (* cosTheta (PI))) (sqrt -1/2))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2)))))
(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))))
(/ 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))))))))
(/ 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 (/ 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 (sqrt (/ 1 (PI))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(* -2 cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(* cosTheta (- (/ 1 cosTheta) 2))
(* cosTheta (- (/ 1 cosTheta) 2))
(* (sqrt cosTheta) (sqrt -2))
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))))
(* -1 (* cosTheta (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))))
(* -1 (* cosTheta (- (+ (* -1 (- (pow c 2) 1)) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (sqrt 2)))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))))
(* -1 (* cosTheta (- (+ (* -1 (- (pow c 2) 1)) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2))))))))
(* -1 (* cosTheta (- (+ (* -1 (- (pow c 2) 1)) (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))))))
(* (pow cosTheta 2) (pow (- (pow c 2) 1) 2))
(* (pow cosTheta 2) (+ (* 2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)))
(* (pow cosTheta 2) (+ (* -1 (/ (- (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (* 2 (/ (pow (- c 1) 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) cosTheta)) (pow (- (pow c 2) 1) 2)))
(* (pow cosTheta 2) (+ (* -1 (/ (- (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (* 2 (/ (pow (- c 1) 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) cosTheta)) (pow (- (pow c 2) 1) 2)))
(* -1 (/ (* (- c 1) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (pow (- (pow c 2) 1) 2)))
(+ (* -1 (/ (* (- c 1) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (pow (- (pow c 2) 1) 2))) (* 2 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))
(+ (* -1 (/ (* (- c 1) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (pow (- (pow c 2) 1) 2))) (* -1 (/ (- (+ (* -2 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))) (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (pow (- c 1) 2)) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (- (pow c 2) 1) 2))))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* cosTheta (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (* -1 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) cosTheta)))
(+ (* -1 (/ (* (- c 1) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (pow (- (pow c 2) 1) 2))) (* -1 (/ (+ (* -2 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))) (* -1 (/ (+ (* -1 (- (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (pow (- c 1) 2)) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (- (pow c 2) 1) 2)))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) (* -1 (/ (+ (* -2 (/ (* (pow (- c 1) 2) (- (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (pow (- c 1) 2)) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (- (pow c 2) 1) 2)))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* -2 (/ (* (pow (- c 1) 5) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) cosTheta))) cosTheta))) cosTheta)))
(/ (- c 1) (* cosTheta (pow (- (pow c 2) 1) 2)))
(* -1 (/ (+ (* -1 (/ (- c 1) (pow (- (pow c 2) 1) 2))) (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))) cosTheta))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))) (* -1 (/ (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) cosTheta))) cosTheta)) (* -1 (/ (- c 1) (pow (- (pow c 2) 1) 2)))) cosTheta))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))) (* -1 (/ (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (+ (* -1 (/ (+ (* -2 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* 2 (/ (* (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow (- c 1) 2)) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2)))))) cosTheta)) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))) cosTheta))) cosTheta)) (* -1 (/ (- c 1) (pow (- (pow c 2) 1) 2)))) cosTheta))
(* -1 (/ (- c 1) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1))))))))
(+ (* -1 (/ (- c 1) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (sqrt 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))))
(+ (* -1 (/ (- c 1) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))) (+ (* 1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (sqrt 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))))))
(+ (* -1 (/ (- c 1) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 11) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (+ (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))) (* 1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 3)))))) (- c 1)))) (* (sqrt 2) (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 3) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (pow (sqrt 2) 5) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2))))) (+ (* 1/16 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 4) (* (PI) (* (pow (sqrt 2) 4) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 3)))))) (+ (* 1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (pow (- c 1) 2))) (* (sqrt 2) (pow (+ (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (* (sqrt 2) (- c 1)))))) 2)))))))))))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (PI)))
(* cosTheta (sqrt (PI)))
(+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
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(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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(* -2 cosTheta)
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(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
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(* -1 (* (sqrt cosTheta) (* (sqrt -1) (sqrt 2))))
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Outputs
(- (* -1 cosTheta) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))
(-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)
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(- (+ (* -1 cosTheta) (* c (- (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))
(fma.f32 cosTheta #s(literal -1 binary32) (fma.f32 (-.f32 (*.f32 c cosTheta) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta))) c (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
(- (+ (* -1 cosTheta) (* c (- (* c cosTheta) (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))) (* -1 (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (/ 1 (exp (pow cosTheta 2))))))
(fma.f32 cosTheta #s(literal -1 binary32) (fma.f32 (-.f32 (*.f32 c cosTheta) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta))) c (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta))))
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(* (pow c 4) (pow cosTheta 2))
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(/.f32 #s(literal 1 binary32) c)
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(/.f32 (neg.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)))) c)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(/.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) c) (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #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 (neg.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32))) c) #s(literal -1 binary32) #s(literal -1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)) c) #s(literal -1 binary32) #s(literal -1 binary32))) c)
c
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) c) #s(literal -1 binary32) #s(literal -1 binary32)))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) c) #s(literal -1 binary32) #s(literal -1 binary32)))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(.f32 (neg.f32 c) (fma.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) c) #s(literal -1 binary32) #s(literal -1 binary32)))
(/ 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 (neg.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 c cosTheta)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (-.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)))) c)
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))
(/.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32)) c) (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #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 (neg.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (pow.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32)) c) (pow.f32 (fma.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 2 binary32))) c) #s(literal -1 binary32) #s(literal -1 binary32)) (/.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) cosTheta)) c) #s(literal -1 binary32) #s(literal -1 binary32))) c)
c
(* c (+ 1 (/ 1 c)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)
(* c (+ 1 (/ 1 c)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)
(* c (+ 1 (/ 1 c)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c)
(pow c 2)
(*.f32 c c)
(* (pow c 2) (- 1 (/ 1 (pow c 2))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 c c))) (*.f32 c c))
(* (pow c 2) (- 1 (/ 1 (pow c 2))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 c c))) (*.f32 c c))
(* (pow c 2) (- 1 (/ 1 (pow c 2))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 c c))) (*.f32 c c))
(* -1 (* (sqrt (/ 1 (PI))) (- c 1)))
(neg.f32 (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(- (* cosTheta (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (* (sqrt (/ 1 (PI))) (- c 1)))
(fma.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(- (* cosTheta (- (+ (* -1 (* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c))))) (pow c 2)) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (* (sqrt (/ 1 (PI))) (- c 1)))
(fma.f32 (-.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (-.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1/2 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (.f32 c c)) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (neg.f32 (*.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(- (* cosTheta (- (+ (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (/ 1 (PI))) (- 1 c))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1)))))) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c))))) (pow c 2)) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (* (sqrt (/ 1 (PI))) (- c 1)))
(fma.f32 (fma.f32 (-.f32 (.f32 (neg.f32 cosTheta) (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 (-.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1/2 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(* -1 (/ (pow (- c 1) 2) (PI)))
(neg.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)))
(- (* 2 (/ (* cosTheta (pow (- c 1) 2)) (PI))) (/ (pow (- c 1) 2) (PI)))
(-.f32 (.f32 (.f32 cosTheta (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32))) #s(literal 2 binary32)) (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)))
(- (* cosTheta (- (* cosTheta (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (* -2 (/ (pow (- c 1) 2) (PI))))) (/ (pow (- c 1) 2) (PI)))
(-.f32 (.f32 (fma.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32))) cosTheta (.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32))) cosTheta) (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)))
(- (* cosTheta (- (* cosTheta (+ (* -4 (/ (* cosTheta (pow (- c 1) 2)) (PI))) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)))) (* -2 (/ (pow (- c 1) 2) (PI))))) (/ (pow (- c 1) 2) (PI)))
(-.f32 (.f32 (fma.f32 (fma.f32 #s(literal -4 binary32) (.f32 cosTheta (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32))) (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))) cosTheta (*.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32))) cosTheta) (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI)))))))
(.f32 (fma.f32 (fma.f32 (.f32 (PI.f32) (/.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 c #s(literal 1 binary32)))) #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (+ (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* cosTheta (- (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c)))) (- c 1)) (+ (* -2 (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI))))) (* -1 (* (sqrt (pow (PI) 3)) (/ (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)) (pow (- c 1) 2)))))))) (* -2 (sqrt (PI)))))))
(.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (.f32 (PI.f32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1/2 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 c #s(literal 1 binary32)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (/.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 c #s(literal 1 binary32)))) #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #s(literal -2 binary32) (.f32 (neg.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))))) cosTheta (/.f32 (neg.f32 (.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (PI.f32))) (-.f32 c #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2 binary32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (+ (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* cosTheta (- (+ (* cosTheta (- (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- 1 c))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1)) (+ (* -2 (- (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c)))) (- c 1)) (+ (* -2 (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI))))) (* -1 (* (sqrt (pow (PI) 3)) (/ (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)) (pow (- c 1) 2))))))) (+ (* -1 (/ (* (PI) (* (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)) (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI)))))) (pow (- c 1) 2))) (* 4 (sqrt (PI))))))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- 1 c)))) (- c 1))) (+ (* -2 (- (* -1 (/ (* (PI) (- (pow c 2) (+ 1 (* -1 (* (sqrt (/ 1 (PI))) (- c 1)))))) (- c 1))) (* -2 (sqrt (PI))))) (* -1 (* (sqrt (pow (PI) 3)) (/ (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2)) (pow (- c 1) 2)))))))) (* -2 (sqrt (PI)))))))
(.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 (.f32 (PI.f32) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 c #s(literal 1 binary32)))) (fma.f32 (-.f32 (.f32 (PI.f32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1/2 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 c #s(literal 1 binary32)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (/.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 c #s(literal 1 binary32)))) #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #s(literal -2 binary32) (.f32 (neg.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal -2 binary32) (-.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32)) (/.f32 (.f32 (.f32 (PI.f32) (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))) (fma.f32 (.f32 (PI.f32) (/.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 c #s(literal 1 binary32)))) #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)))))) cosTheta (-.f32 (.f32 (PI.f32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1/2 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 c #s(literal 1 binary32)))) (fma.f32 (fma.f32 (.f32 (PI.f32) (/.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 c #s(literal 1 binary32)))) #s(literal -1 binary32) (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #s(literal -2 binary32) (.f32 (neg.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32))))))) cosTheta (/.f32 (neg.f32 (.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (neg.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (PI.f32))) (-.f32 c #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) #s(literal -2 binary32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* -1 (/ (* cosTheta (PI)) (- c 1)))
(/.f32 (neg.f32 (*.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32)))
(* cosTheta (+ (* -2 (/ (* cosTheta (PI)) (- c 1))) (* -1 (/ (PI) (- c 1)))))
(.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)
(* cosTheta (+ (* -1 (/ (PI) (- c 1))) (* cosTheta (- (* -1 (* cosTheta (+ (* 4 (/ (PI) (- c 1))) (/ (* (pow (PI) 2) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (pow (- c 1) 3))))) (* 2 (/ (PI) (- c 1)))))))
(.f32 (fma.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32))) #s(literal 4 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)))) (.f32 #s(literal -2 binary32) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32))))) cosTheta (/.f32 (neg.f32 (PI.f32)) (-.f32 c #s(literal 1 binary32)))) cosTheta)
(* cosTheta (+ (* -1 (/ (PI) (- c 1))) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -4 (/ (PI) (- c 1))) (+ (* 2 (+ (* 4 (/ (PI) (- c 1))) (/ (* (pow (PI) 2) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (pow (- c 1) 3)))) (* 2 (/ (* (pow (PI) 2) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (pow (- c 1) 3))))))) (+ (* 4 (/ (PI) (- c 1))) (/ (* (pow (PI) 2) (+ (* 2 (/ (pow (- c 1) 2) (PI))) (pow (- (pow c 2) 1) 2))) (pow (- c 1) 3))))) (* 2 (/ (PI) (- c 1)))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 cosTheta) (fma.f32 (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32))) #s(literal -4 binary32) (.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32))) #s(literal 4 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)))))) (neg.f32 (fma.f32 (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32))) #s(literal 4 binary32) (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)))))) cosTheta (*.f32 #s(literal -2 binary32) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32))))) cosTheta (/.f32 (neg.f32 (PI.f32)) (-.f32 c #s(literal 1 binary32)))) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* -1 (/ (* cosTheta (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1))) (- c 1)))))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 c #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))))) (/ (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1))))))
(.f32 (fma.f32 (-.f32 (.f32 (neg.f32 cosTheta) (fma.f32 (neg.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 c #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (PI.f32) (/.f32 (.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (-.f32 c #s(literal 1 binary32)))))) (.f32 (PI.f32) (/.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 c #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32))) (-.f32 c #s(literal 1 binary32))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (/ (* (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1)))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (* (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1)))) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))) (* (sqrt (/ 1 (PI))) (- c 1)))) (- c 1)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (/ (pow (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1) 2) (pow (- c 1) 2)))) (/ (* (PI) (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (* -1/2 (* (sqrt (/ 1 (PI))) (- c 1))))) (- c 1))))) (/ (* (PI) (- (+ (* -1 (* (sqrt (/ 1 (PI))) (- c 1))) (pow c 2)) 1)) (- c 1))))))
(.f32 (fma.f32 (fma.f32 (-.f32 (.f32 (neg.f32 cosTheta) (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (fma.f32 (neg.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 c #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (PI.f32) (/.f32 (.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (-.f32 c #s(literal 1 binary32))))) (/.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 c #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32))) (-.f32 c #s(literal 1 binary32)))) (-.f32 (.f32 (PI.f32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 c #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 (.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 c #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32)))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))))) (fma.f32 (neg.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 (pow.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 c #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (PI.f32) (/.f32 (.f32 (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) #s(literal -3/2 binary32)) (-.f32 c #s(literal 1 binary32)))))) cosTheta (neg.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 c #s(literal 1 binary32)) (fma.f32 c c #s(literal -1 binary32))) (-.f32 c #s(literal 1 binary32)))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* (/ 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 c #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 (+ 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 c #s(literal 1 binary32)) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)) (.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* (/ 1 cosTheta) (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)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* (/ 1 cosTheta) (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 c #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 (+ 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 c #s(literal 1 binary32)) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* 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)
(* 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 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)) (.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 (-.f32 (+.f32 c #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 (+ 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 c #s(literal 1 binary32)) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)) cosTheta (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* cosTheta (sqrt (PI)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)) (.f32 (pow.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (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 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (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)))) (* -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)))
(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))))
(* (/ 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))) (* -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))) (* -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)
1
#s(literal 1 binary32)
(+ 1 (* -2 cosTheta))
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(+ 1 (* -2 cosTheta))
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(+ 1 (* -2 cosTheta))
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 cosTheta))
(-.f32 #s(literal 1 binary32) cosTheta)
(+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))
(fma.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32))
(+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32)) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32))
(* cosTheta (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))
(.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))) cosTheta)
(* cosTheta (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (pow c 2)) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))
(.f32 (-.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (.f32 c c)) (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 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) #s(literal 1 binary32))) cosTheta)
(* cosTheta (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (pow c 2)) (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))))
(.f32 (-.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (.f32 c c)) (+.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (/.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))) #s(literal 1 binary32))) cosTheta)
(* cosTheta (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (pow c 2)) (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))))
(.f32 (-.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32))))) (/.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (.f32 c c)) (+.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (-.f32 c #s(literal 1 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (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 c #s(literal 1 binary32)) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))) #s(literal 1 binary32))) cosTheta)
(* (pow cosTheta 2) (pow (- (pow c 2) 1) 2))
(.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))
(* (pow cosTheta 2) (+ (* 2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)))
(.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) cosTheta) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32)))) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 cosTheta cosTheta))
(* (pow cosTheta 2) (- (+ (* -1 (/ (pow (- c 1) 2) (* (pow cosTheta 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)) (* -2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))))))
(.f32 (-.f32 (-.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32)) (PI.f32)))) (.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) cosTheta) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32)))) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta))
(* (pow cosTheta 2) (- (+ (* -1 (/ (pow (- c 1) 2) (* (pow cosTheta 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)) (* -2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))))))
(.f32 (-.f32 (-.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32)) (PI.f32)))) (.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) cosTheta) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32)))) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta))
(/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))
(.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (-.f32 (fma.f32 c c #s(literal -1 binary32)) (.f32 (*.f32 (sqrt.f32 #s(literal -2 binary32)) (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32))))
(+ (* -2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)))
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(* (sqrt (* cosTheta (PI))) (sqrt -1/2))
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(* 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)))))
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(* cosTheta (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (+ (* 1/64 (/ (* cosTheta (PI)) (pow (sqrt -1/2) 2))) (* 1/16 (PI))) (sqrt -1/2)))) (+ (* -1/8 (* (sqrt (/ (PI) (pow cosTheta 3))) (/ 1 (sqrt -1/2)))) (+ (* -1/16 (* (sqrt (/ (PI) (pow cosTheta 5))) (/ 1 (sqrt -1/2)))) (* (sqrt (/ (PI) cosTheta)) (sqrt -1/2))))))
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(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
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(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) #s(literal -2 binary32))) (/.f32 (.f32 (pow.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) cosTheta) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (/.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 #s(literal -2 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)))) (.f32 #s(literal 1/16 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 (pow.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) (.f32 (PI.f32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32)))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (pow.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (/.f32 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #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 (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (pow.f32 (+.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -2 binary32)) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) c) #s(literal 1 binary32)) #s(literal 2 binary32)))))))
(* (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 (sqrt.f32 #s(literal -2 binary32)) #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 (sqrt.f32 #s(literal -2 binary32)) #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 (/ cosTheta (PI))) (sqrt -2))
(*.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (sqrt.f32 #s(literal -2 binary32)))
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))) cosTheta)
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
(.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))) cosTheta)
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))
(.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #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))))))) cosTheta)
(* -1 (sqrt (/ 1 (PI))))
(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(* -2 cosTheta)
(*.f32 #s(literal -2 binary32) cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta)
(* cosTheta (- (/ 1 cosTheta) 2))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta)
(* (sqrt cosTheta) (sqrt -2))
(*.f32 (sqrt.f32 cosTheta) (sqrt.f32 #s(literal -2 binary32)))
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))
(.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32))) cosTheta)
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))
(.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32)))) cosTheta)
(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))))
(.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32)))) (sqrt.f32 #s(literal -2 binary32))) #s(literal 1/2 binary32))))) cosTheta)
(* -1 (* cosTheta (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))))
(.f32 (neg.f32 cosTheta) (-.f32 (neg.f32 (fma.f32 c c #s(literal -1 binary32))) (.f32 (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))))
(* -1 (* cosTheta (- (+ (* -1 (- (pow c 2) 1)) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (sqrt 2)))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))))
(.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 (.f32 (.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) #s(literal -1/2 binary32) (neg.f32 (fma.f32 c c #s(literal -1 binary32)))) (.f32 (/.f32 (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))))
(* -1 (* cosTheta (- (+ (* -1 (- (pow c 2) 1)) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2))))))))
(.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 (.f32 (.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) #s(literal 1/8 binary32) (neg.f32 (fma.f32 c c #s(literal -1 binary32)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (PI.f32))))) (.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (/.f32 (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))))))
(* -1 (* cosTheta (- (+ (* -1 (- (pow c 2) 1)) (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 5)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (pow (sqrt 2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (sqrt -1) (- c 1)) (* (exp (pow cosTheta 2)) (sqrt 2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))))))
(.f32 (neg.f32 cosTheta) (-.f32 (fma.f32 (.f32 (.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 7 binary32)) (PI.f32))))) #s(literal -1/16 binary32) (neg.f32 (fma.f32 c c #s(literal -1 binary32)))) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))))) (.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.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 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))))))
(* (pow cosTheta 2) (pow (- (pow c 2) 1) 2))
(.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))
(* (pow cosTheta 2) (+ (* 2 (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2))))) (pow (- (pow c 2) 1) 2)))
(.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) cosTheta) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32)))) #s(literal 2 binary32) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32))) (.f32 cosTheta cosTheta))
(* (pow cosTheta 2) (+ (* -1 (/ (- (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (* 2 (/ (pow (- c 1) 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) cosTheta)) (pow (- (pow c 2) 1) 2)))
(.f32 (-.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) cosTheta) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32)))) (.f32 (/.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32))) cosTheta)) (*.f32 cosTheta cosTheta))
(* (pow cosTheta 2) (+ (* -1 (/ (- (/ (pow (- c 1) 2) (* cosTheta (* (PI) (pow (exp (pow cosTheta 2)) 2)))) (* 2 (/ (pow (- c 1) 2) (* (PI) (pow (exp (pow cosTheta 2)) 2))))) cosTheta)) (pow (- (pow c 2) 1) 2)))
(.f32 (-.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (PI.f32) cosTheta) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32)))) (.f32 (/.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32))) #s(literal 2 binary32))) cosTheta)) (*.f32 cosTheta cosTheta))
(* -1 (/ (* (- c 1) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (pow (- (pow c 2) 1) 2)))
(/.f32 (neg.f32 (.f32 (-.f32 (neg.f32 (fma.f32 c c #s(literal -1 binary32))) (.f32 (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))) (-.f32 c #s(literal 1 binary32)))) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))
(+ (* -1 (/ (* (- c 1) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (pow (- (pow c 2) 1) 2))) (* 2 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))
(-.f32 (.f32 (/.f32 #s(literal 2 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 (.f32 (-.f32 (neg.f32 (fma.f32 c c #s(literal -1 binary32))) (.f32 (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))) (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32))))) (.f32 (-.f32 c #s(literal 1 binary32)) (/.f32 (-.f32 (neg.f32 (fma.f32 c c #s(literal -1 binary32))) (.f32 (/.f32 (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (-.f32 c #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))))
(+ (* -1 (/ (* (- c 1) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (pow (- (pow c 2) 1) 2))) (* -1 (/ (- (+ (* -2 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))) (* -1/2 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (pow (- c 1) 2)) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (- (pow c 2) 1) 2))))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* cosTheta (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (* -1 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) cosTheta)))
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(+ (* -1 (/ (* (- c 1) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (pow (- (pow c 2) 1) 2))) (* -1 (/ (+ (* -2 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))) (* -1 (/ (+ (* -1 (- (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (pow (- c 1) 2)) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (- (pow c 2) 1) 2)))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) (* -1 (/ (+ (* -2 (/ (* (pow (- c 1) 2) (- (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (sqrt -1) (pow (- c 1) 2)) (* (exp (pow cosTheta 2)) (* (sqrt 2) (pow (- (pow c 2) 1) 2)))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (* (pow (- c 1) 3) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* -2 (/ (* (pow (- c 1) 5) (- (* -1 (- (pow c 2) 1)) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -1) (* (sqrt 2) (- c 1))) (exp (pow cosTheta 2)))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) cosTheta))) cosTheta))) cosTheta)))
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(/ (- c 1) (* cosTheta (pow (- (pow c 2) 1) 2)))
(/.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32)))
(* -1 (/ (+ (* -1 (/ (- c 1) (pow (- (pow c 2) 1) 2))) (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))) cosTheta))
(/.f32 (neg.f32 (-.f32 (.f32 (/.f32 (pow.f32 (-.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 (.f32 (PI.f32) cosTheta) (.f32 (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) #s(literal 2 binary32))))) #s(literal 2 binary32)) (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (fma.f32 c c #s(literal -1 binary32)) #s(literal 2 binary32))))) cosTheta)
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))) (* -1 (/ (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) cosTheta))) cosTheta)) (* -1 (/ (- c 1) (pow (- (pow c 2) 1) 2)))) cosTheta))
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(neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(* -2 cosTheta)
(*.f32 #s(literal -2 binary32) cosTheta)
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(*.f32 (neg.f32 cosTheta) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(*.f32 (neg.f32 cosTheta) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(*.f32 (neg.f32 cosTheta) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))
(* -1 (* (sqrt cosTheta) (* (sqrt -1) (sqrt 2))))
(.f32 (neg.f32 (sqrt.f32 cosTheta)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))
(.f32 (neg.f32 cosTheta) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))
(.f32 (neg.f32 cosTheta) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.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) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))
(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))))
(.f32 (neg.f32 cosTheta) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 3 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))))

rewrite204.0ms (1.9%)

Memory

14.6MiB live, 289.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	463
0	128	462
1	490	417
2	3790	417
0	8594	416

Stop Event

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

Counts

26 → 721

Calls

Call 1

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

Outputs
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eval429.0ms (4.1%)

Memory: 22.5MiB live, 417.5MiB allocated
Compiler: Compiled 78 330 to 6 882 computations (91.2% saved)

prune66.0ms (0.6%)

Memory

-27.2MiB live, 180.5MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 564	15	1 579
Fresh	14	10	24
Picked	4	1	5
Done	0	1	1
Total	1 582	27	1 609

Accuracy

100.0%

Counts

1 609 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.8%	(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	58.7%	(/.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))))
	63.1%	(/.f32 (.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (-.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 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (pow.f32 (exp.f32 cosTheta) cosTheta) (-.f32 c #s(literal 1 binary32))) #s(literal -2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
	93.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	98.5%	(/.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)))))
▶	98.2%	(/.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)))))
	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	98.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	95.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (E.f32))))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	96.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.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)))))
	95.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	96.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(approx (/ (* (sqrt (/ 1 (PI))) (- 1 cosTheta)) cosTheta) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
▶	98.7%	(.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
	58.6%	(*.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)))
	56.0%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta))))
	55.9%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)))) (-.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (/.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta))))
▶	61.8%	(.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
	93.3%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 c #s(literal -1 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
	93.3%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
✓	93.7%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	95.7%	#s(approx (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 1 427 to 907 computations (36.4% saved)

simplify143.0ms (1.4%)

Memory

-5.4MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	945
0	145	945
1	233	927
2	499	923
3	1775	899
4	5741	887
0	8338	839

Stop Event

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

Calls

Call 1

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

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

localize247.0ms (2.3%)

Memory

8.1MiB live, 356.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5856437988422102	(.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
accuracy	0.796875	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
accuracy	1.2804045813333702	#s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta))
accuracy	20.36796272307607	(fma.f32 c c #s(literal -1 binary32))
accuracy	0.10901129138909577	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
accuracy	0.2578125	(/.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	0.55859375	(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)
accuracy	0.796875	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
accuracy	0.2578125	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
accuracy	0.3671875	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
accuracy	0.9012826398858049	#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))
accuracy	1.738661982192053	#s(approx (+ 1 c) #s(literal 1 binary32))
accuracy	0.2578125	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
accuracy	0.640625	(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
accuracy	1.0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
accuracy	1.7389316679377056	#s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
accuracy	0.5856437988422102	(.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
accuracy	0.796875	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
accuracy	1.008880038821437	#s(approx (+ (* c c) -1) #s(literal -1 binary32))
accuracy	16.151694722132692	(fma.f32 c c #s(literal -1 binary32))

Samples

185.0ms

256×

valid

Compiler

Compiled 1 597 to 124 computations (92.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-div: 59.0ms (43.7% of total)

ival-mult: 27.0ms (20% of total)

ival-pow: 13.0ms (9.6% of total)

ival-exp: 7.0ms (5.2% of total)

ival-sub: 7.0ms (5.2% of total)

ival-sqrt: 7.0ms (5.2% of total)

ival-add: 6.0ms (4.4% of total)

ival-pow2: 5.0ms (3.7% 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)

series69.0ms (0.7%)

Memory

-7.2MiB live, 67.3MiB allocated

Counts

25 → 456

Calls

Call 1

Inputs
#s(alt (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (patch (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #<representation binary32>) () ())
#s(alt (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())
#s(alt #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())
#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #<representation binary32>) () ())
#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())
#s(alt #s(approx (+ 1 c) #s(literal 1 binary32)) (patch #s(approx (+ 1 c) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) #<representation binary32>) () ())
#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())
#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) c) (patch (+.f32 #s(literal 1 binary32) c) #<representation binary32>) () ())
#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())
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Outputs
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#s(alt (* cosTheta (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (pow c 2)) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (pow c 2)) (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (pow c 2)) (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (* 2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* 2 (/ (* (pow (- c 1) 2) (- (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* 2 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (pow cosTheta 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (* 2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))))) (taylor inf cosTheta) (#s(alt (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- c 1) (* cosTheta (pow (- (pow c 2) 1) 2))) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ c (pow (- (pow c 2) 1) 2))) (/ 1 (pow (- (pow c 2) 1) 2))) cosTheta) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow cosTheta 2))) (/ c (pow (- (pow c 2) 1) 2))) (+ (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ 1 (pow (- (pow c 2) 1) 2)))) cosTheta) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow (- c 1) 2)) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* 2 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (pow cosTheta 3))) (/ c (pow (- (pow c 2) 1) 2))) (+ (* -4 (/ (pow (- c 1) 5) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (pow (- c 1) 3) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (+ (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ 1 (pow (- (pow c 2) 1) 2)))))) cosTheta) (taylor inf cosTheta) (#s(alt (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (patch (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- c 1) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2)))))) (pow cosTheta 4))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (+ (* -1/4 (/ (* cosTheta (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2)))))) (- c 1))) (* (sqrt -2) (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 5) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3))) (* (PI) (* (pow (sqrt -2) 4) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3))))))) (pow cosTheta 6))) (/ c (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1))) (+ (* -1/4 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (pow (- c 1) 3)) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (pow (sqrt -2) 3) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (pow (- c 1) 2)) (* (sqrt -2) (pow (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) 2))))) (/ 1 (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (patch (/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (- c 1)))) (pow c 2)) 1) (- c 1)) (taylor inf cosTheta) (#s(alt #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1)))) (/ 1 (- c 1))) (taylor inf cosTheta) (#s(alt #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1))))) (/ 1 (- c 1))) (taylor inf cosTheta) (#s(alt #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (+ (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))) (/ (pow c 2) (- c 1)))))) (/ 1 (- c 1))) (taylor inf cosTheta) (#s(alt #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (patch #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor inf cosTheta) (#s(alt (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (patch (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf cosTheta) (#s(alt #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (patch #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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))))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (+ 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)))))))) (taylor inf cosTheta) (#s(alt (+.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)))) (patch (+.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)))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -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)))))))) (taylor inf cosTheta) (#s(alt (/.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))))) (patch (/.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))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf cosTheta) (#s(alt (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (patch (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -2 (/ (* cosTheta (PI)) (- c 1))) (taylor inf cosTheta) (#s(alt (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* -2 (/ (PI) (- c 1))) (* -1 (/ (PI) (* cosTheta (- c 1)))))) (taylor inf cosTheta) (#s(alt (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* -2 (/ (PI) (- c 1))) (* -1 (/ (PI) (* cosTheta (- c 1)))))) (taylor inf cosTheta) (#s(alt (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* -2 (/ (PI) (- c 1))) (* -1 (/ (PI) (* cosTheta (- c 1)))))) (taylor inf cosTheta) (#s(alt (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (pow c 2)) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (pow c 2)) (+ 1 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2)))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 5))))) (pow c 2)) (+ 1 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (pow (sqrt -2) 3))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (- c 1) (* (exp (pow cosTheta 2)) (sqrt -2))))) (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))))) (taylor inf cosTheta) (#s(alt (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) (patch (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)) (taylor inf cosTheta) (#s(alt (.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))) (taylor inf cosTheta) (#s(alt (.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (* 2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))))) (taylor inf cosTheta) (#s(alt (.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* -1 (/ (+ (* 2 (/ (* (pow (- c 1) 2) (- (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))))) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* 2 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (pow cosTheta 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (pow (- c 1) 2) (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (- (pow c 2) 1) 2)))))) (/ (* (- c 1) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (pow (- (pow c 2) 1) 2)))) (+ (* -4 (/ (* (pow (- c 1) 5) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (* 2 (/ (* (pow (- c 1) 3) (- (pow c 2) (+ 1 (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (* (sqrt -2) (- c 1)) (exp (pow cosTheta 2))))))) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4))))))))) (taylor inf cosTheta) (#s(alt (.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (patch (.f32 #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (/ (- c 1) (* cosTheta (pow (- (pow c 2) 1) 2))) (taylor inf cosTheta) (#s(alt #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (patch #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ c (pow (- (pow c 2) 1) 2))) (/ 1 (pow (- (pow c 2) 1) 2))) cosTheta) (taylor inf cosTheta) (#s(alt #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (patch #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow cosTheta 2))) (/ c (pow (- (pow c 2) 1) 2))) (+ (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ 1 (pow (- (pow c 2) 1) 2)))) cosTheta) (taylor inf cosTheta) (#s(alt #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (patch #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -2 (/ (* (+ (* -4 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6))))) (* -1 (/ (pow (- c 1) 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (pow (- c 1) 2)) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 2))))) (* 2 (/ (pow (- c 1) 5) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (pow cosTheta 3))) (/ c (pow (- (pow c 2) 1) 2))) (+ (* -4 (/ (pow (- c 1) 5) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (exp (pow cosTheta 2)) 4) (pow (- (pow c 2) 1) 6)))))) (+ (* -1 (/ (pow (- c 1) 3) (* (pow cosTheta 2) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (+ (* 2 (/ (pow (- c 1) 3) (* cosTheta (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (pow (- (pow c 2) 1) 4)))))) (/ 1 (pow (- (pow c 2) 1) 2)))))) cosTheta) (taylor inf cosTheta) (#s(alt #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) (patch #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ cosTheta (PI))) (sqrt -2)) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* 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))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* 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)))))) (taylor inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -2 cosTheta) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (- (/ 1 cosTheta) 2)) (taylor inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
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#s(alt (* -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))))))) (taylor -inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* -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)))))))) (taylor -inf cosTheta) (#s(alt (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (patch (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor -inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor -inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor -inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* cosTheta (sqrt (PI))) (taylor -inf cosTheta) (#s(alt (.f32 (sqrt.f32 (PI.f32)) cosTheta) (patch (.f32 (sqrt.f32 (PI.f32)) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -2 cosTheta) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())
#s(alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta)))) (taylor -inf cosTheta) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (patch (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	cosTheta	@	-inf	((- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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) (- (/ (* -2 (* (PI) cosTheta)) (- c 1)) (/ (PI) (- c 1))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (+ (* c c) -1) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (sqrt (PI)) cosTheta) (- (- 1 cosTheta) cosTheta))
5.0ms	c	@	0	((- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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) (- (/ (* -2 (* (PI) cosTheta)) (- c 1)) (/ (PI) (- c 1))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (+ (* c c) -1) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (sqrt (PI)) cosTheta) (- (- 1 cosTheta) cosTheta))
4.0ms	c	@	-inf	((- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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) (- (/ (* -2 (* (PI) cosTheta)) (- c 1)) (/ (PI) (- c 1))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (+ (* c c) -1) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (sqrt (PI)) cosTheta) (- (- 1 cosTheta) cosTheta))
3.0ms	cosTheta	@	inf	((- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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) (- (/ (* -2 (* (PI) cosTheta)) (- c 1)) (/ (PI) (- c 1))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (+ (* c c) -1) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (sqrt (PI)) cosTheta) (- (- 1 cosTheta) cosTheta))
3.0ms	cosTheta	@	0	((- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/ (sqrt (/ 1 (PI))) cosTheta) (sqrt (/ 1 (PI))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ 1 c) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) 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) (- (/ (* -2 (* (PI) cosTheta)) (- c 1)) (/ (PI) (- c 1))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (* (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (- (* (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1)))) (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (+ (* c c) -1) (+ (* c c) -1) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (sqrt (PI)) cosTheta) (- (- 1 cosTheta) cosTheta))

simplify267.0ms (2.5%)

Memory

8.0MiB live, 454.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1581	29463
1	5314	28478
0	8145	27332

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 446

Calls

Call 1

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

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

rewrite222.0ms (2.1%)

Memory

34.2MiB live, 224.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	585
0	145	563
1	520	548
2	4071	548
0	8914	546

Stop Event

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

Counts

25 → 600

Calls

Call 1

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

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eval366.0ms (3.5%)

Memory: -37.8MiB live, 327.9MiB allocated
Compiler: Compiled 75 957 to 5 163 computations (93.2% saved)

prune140.0ms (1.3%)

Memory

6.4MiB live, 121.2MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 294	12	1 306
Fresh	5	15	20
Picked	3	2	5
Done	0	2	2
Total	1 302	31	1 333

Accuracy

100.0%

Counts

1 333 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.1%	(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	58.7%	(/.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))))
	93.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
	98.5%	(/.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)))))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta))) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	98.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	95.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (log.f32 (E.f32))))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	96.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	92.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.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)))))
	95.4%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	96.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	93.4%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
✓	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	93.6%	(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
	58.9%	(+.f32 (.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) #s(approx (/ (* (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/.f32 (.f32 (-.f32 (.f32 (.f32 (PI.f32) cosTheta) #s(literal -2 binary32)) (PI.f32)) cosTheta) (-.f32 c #s(literal 1 binary32))))) (.f32 (.f32 (+.f32 (neg.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))) #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/.f32 (.f32 (-.f32 (.f32 (*.f32 (PI.f32) cosTheta) #s(literal -2 binary32)) (PI.f32)) cosTheta) (-.f32 c #s(literal 1 binary32))))))
	98.7%	(.f32 (/.f32 (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta) (-.f32 (pow.f32 (.f32 #s(approx (+ ( c c) -1) #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 c #s(literal 1 binary32)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) (-.f32 (.f32 #s(approx (+ (* c c) -1) #s(literal -1 binary32)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
	58.6%	(*.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)))
	55.9%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta)) #s(literal 2 binary32)))) (-.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (/.f32 #s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (pow.f32 (exp.f32 cosTheta) cosTheta))))
	58.6%	(.f32 (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))) #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/.f32 (.f32 (-.f32 (.f32 (*.f32 (PI.f32) cosTheta) #s(literal -2 binary32)) (PI.f32)) cosTheta) (-.f32 c #s(literal 1 binary32)))))
	92.5%	(.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) #s(approx (- ( (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 c #s(literal 1 binary32))))))
	62.6%	(.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 c #s(literal 1 binary32))) (-.f32 (.f32 (.f32 (PI.f32) cosTheta) #s(literal -2 binary32)) (PI.f32))) cosTheta)) (-.f32 (.f32 (fma.f32 c c #s(literal -1 binary32)) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (pow.f32 (exp.f32 cosTheta) cosTheta)) (-.f32 c #s(literal 1 binary32)))))
	93.3%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 c #s(literal -1 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
	93.3%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
✓	93.7%	#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	95.7%	#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 2 782 to 891 computations (68% saved)

regimes169.0ms (1.6%)

Memory

-1.5MiB live, 116.0MiB allocated

Counts

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

Calls

6 calls:

43.0ms	(+.f32 #s(literal 1 binary32) c)
38.0ms	(.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)))
31.0ms	cosTheta
18.0ms	c
18.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta`
98.7%	1	`c`
98.7%	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)))))`
98.7%	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))))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	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)

regimes183.0ms (1.7%)

Memory

19.1MiB live, 170.0MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

40.0ms	cosTheta
38.0ms	(/.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)))))
35.0ms	(+.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))))
34.0ms	(.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)))
17.0ms	c

Results

Accuracy	Segments	Branch
98.7%	1	`cosTheta`
98.7%	1	`c`
98.7%	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)))))`
98.7%	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))))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	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)

regimes108.0ms (1%)

Memory

-12.7MiB live, 91.0MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

36.0ms	(/.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)))))
35.0ms	cosTheta
9.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
9.0ms	c
9.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes79.0ms (0.8%)

Memory

-18.5MiB live, 56.3MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

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))))
9.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
9.0ms	(/.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)))))
9.0ms	c
8.0ms	cosTheta

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes55.0ms (0.5%)

Memory

18.1MiB live, 139.3MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

14.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
9.0ms	c
8.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
8.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
7.0ms	(+.f32 #s(literal 1 binary32) c)

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes40.0ms (0.4%)

Memory

21.3MiB live, 96.4MiB allocated

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.1%	1	`cosTheta`
96.1%	1	`c`
96.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.1%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.1%	1	`(+.f32 #s(literal 1 binary32) c)`
96.1%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes44.0ms (0.4%)

Memory

-20.1MiB live, 96.6MiB 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 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))) (exp (* (neg cosTheta) cosTheta))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (+.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (.f32 (-.f32 c #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (-.f32 c #s(literal 1 binary32)) cosTheta)))
#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (*.f32 (PI.f32) cosTheta) (fma.f32 (fma.f32 c #s(literal -1 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 c c #s(literal -1 binary32)))) (-.f32 c #s(literal 1 binary32)))) cosTheta))
(.f32 #s(approx (/ ( (- c 1) cosTheta) (- (pow (* (+ (* c c) -1) cosTheta) 2) (* (pow (/ (- c 1) (pow (exp cosTheta) cosTheta)) 2) (/ (- (- 1 cosTheta) cosTheta) (PI))))) (.f32 (-.f32 (/.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) cosTheta)) (-.f32 c #s(literal 1 binary32))) (/.f32 (PI.f32) (-.f32 c #s(literal 1 binary32)))) cosTheta)) #s(approx (- ( (+ (* c c) -1) cosTheta) (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (pow (exp cosTheta) cosTheta)) (- c 1))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 c #s(literal 1 binary32))))))
#s(approx (/ 1 (/ (+ (* (+ (* c c) -1) cosTheta) (* (- c 1) (* (pow (exp cosTheta) (neg cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))))) (* (- c 1) cosTheta))) (.f32 (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.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 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( cosTheta (sqrt (PI)))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

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

Calls

6 calls:

10.0ms	(.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)))
9.0ms	cosTheta
7.0ms	c
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)))))

Results

Accuracy	Segments	Branch
96.0%	1	`cosTheta`
96.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.0%	1	`(+.f32 #s(literal 1 binary32) c)`
96.0%	1	`c`
96.0%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.0%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes33.0ms (0.3%)

Memory

-3.1MiB live, 82.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

7.0ms	cosTheta
6.0ms	c
5.0ms	(.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)))
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
5.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
96.0%	1	`cosTheta`
96.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.0%	1	`(+.f32 #s(literal 1 binary32) c)`
96.0%	1	`c`
96.0%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.0%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes29.0ms (0.3%)

Memory

-1.3MiB live, 77.8MiB allocated

Counts

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

Outputs

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

Calls

6 calls:

5.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
5.0ms	cosTheta
5.0ms	(.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)))
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
4.0ms	c

Results

Accuracy	Segments	Branch
95.7%	1	`cosTheta`
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	`c`
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)

regimes23.0ms (0.2%)

Memory

-17.1MiB live, 68.5MiB allocated

Counts

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

6.0ms	(+.f32 #s(literal 1 binary32) c)
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
3.0ms	(.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)))
3.0ms	(+.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))))
3.0ms	c

Results

Accuracy	Segments	Branch
93.7%	1	`(+.f32 #s(literal 1 binary32) c)`
93.7%	1	`c`
93.7%	1	`cosTheta`
93.7%	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)))))`
93.7%	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))))`
93.7%	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)

regimes9.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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 #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	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
1.0ms	c
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
5.0%	1	`cosTheta`
5.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
5.0%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
5.0%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
5.0%	1	`c`
5.0%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 72 to 58 computations (19.4% saved)

simplify81.0ms (0.8%)

Memory

-1.9MiB live, 77.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	360
1	159	359
2	220	359
3	327	359
4	484	359
5	713	359
6	970	359
7	1242	359
8	1457	359
9	1612	359
10	1721	359
11	1814	359
12	1887	359
13	1923	359
14	1933	359
15	1934	359

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.5s (14.3%)

Memory

27.8MiB live, 1 413.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	585
0	145	563
1	520	548
2	4071	548
0	8914	546
0	65	390
0	110	372
1	426	333
2	3432	333
0	11238	333
0	407	3223
1	1237	3123
2	4720	3043
0	8272	2891
0	80	463
0	128	462
1	490	417
2	3790	417
0	8594	416
0	1581	29463
1	5314	28478
0	8145	27332
0	1585	23517
1	5352	22701
0	8095	21839
0	18	73
0	33	73
1	141	66
2	1060	61
0	8551	61
0	932	18169
1	3026	17455
0	8186	16639

Stop Event

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

Compiler

Compiled 851 to 447 computations (47.5% saved)

preprocess188.0ms (1.8%)

Memory: -14.5MiB live, 143.0MiB allocated
Compiler: Compiled 522 to 198 computations (62.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze30.0ms (0.3%)

sample2.3s (21.9%)

explain272.0ms (2.6%)

preprocess205.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify154.0ms (1.5%)

localize62.0ms (0.6%)

series124.0ms (1.2%)

simplify163.0ms (1.6%)

rewrite199.0ms (1.9%)

eval128.0ms (1.2%)

prune37.0ms (0.4%)

simplify152.0ms (1.4%)

localize173.0ms (1.6%)

series240.0ms (2.3%)

simplify227.0ms (2.2%)

rewrite247.0ms (2.4%)

eval223.0ms (2.1%)

prune67.0ms (0.6%)

simplify140.0ms (1.3%)

localize258.0ms (2.5%)

series122.0ms (1.2%)

simplify276.0ms (2.6%)

rewrite204.0ms (1.9%)

eval429.0ms (4.1%)

prune66.0ms (0.6%)

simplify143.0ms (1.4%)

localize247.0ms (2.3%)

series69.0ms (0.7%)

simplify267.0ms (2.5%)

rewrite222.0ms (2.1%)

eval366.0ms (3.5%)

prune140.0ms (1.3%)

regimes169.0ms (1.6%)

regimes183.0ms (1.7%)

regimes108.0ms (1%)

regimes79.0ms (0.8%)

regimes55.0ms (0.5%)

regimes40.0ms (0.4%)

regimes44.0ms (0.4%)

regimes33.0ms (0.3%)

regimes29.0ms (0.3%)

regimes23.0ms (0.2%)

regimes9.0ms (0.1%)

simplify81.0ms (0.8%)

soundness1.5s (14.3%)

preprocess188.0ms (1.8%)

end0.0ms (0%)

Profiling