Metrics for Beckmann Sample, normalization factor

analyze58.0ms (0.4%)

Memory

-2.6MiB live, 36.2MiB 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)

sample2.5s (17.4%)

Memory

-94.8MiB live, 3 005.6MiB allocated

Samples

2.0s	8 256×	0	valid
13.0ms	77×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-add: 450.0ms (26% of total)

ival-mult: 248.0ms (14.3% of total)

ival-div: 246.0ms (14.2% of total)

ival-sqrt: 183.0ms (10.6% of total)

const: 176.0ms (10.2% of total)

ival-sub: 123.0ms (7.1% of total)

ival-exp: 113.0ms (6.5% of total)

ival-<: 76.0ms (4.4% of total)

ival-neg: 46.0ms (2.7% of total)

ival-pi: 30.0ms (1.7% of total)

ival-and: 22.0ms (1.3% of total)

exact: 15.0ms (0.9% of total)

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

Bogosity

preprocess247.0ms (1.7%)

Memory

-6.3MiB live, 189.1MiB allocated

Algorithm

2×	egg-herbie

Rules

1 608×	`accelerator-lowering-fma.f32`
1 608×	`accelerator-lowering-fma.f64`
1 468×	`div-sub`
1 040×	`-lowering-.f32`
1 040×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	152
1	140	140
2	404	133
3	1334	132
4	3715	132
5	5337	132
6	7076	132
7	7836	132
0	18	25
1	44	23
2	106	22
3	226	22
4	349	22
5	727	22
6	1873	22
7	2807	22
8	3448	22
9	4078	22
10	4244	22
11	4279	22
12	4312	22
13	4446	22
14	5067	22
15	5075	22
16	5079	22
17	5079	22
0	5079	21

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

Outputs

(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))

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

Call 2

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

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

explain200.0ms (1.4%)

Memory

32.1MiB live, 426.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 310 to 76 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 9.0ms (19.8% of total)

ival-mult: 9.0ms (19.8% of total)

ival-sqrt: 7.0ms (15.4% of total)

ival-add: 6.0ms (13.2% of total)

ival-exp: 4.0ms (8.8% of total)

ival-sub: 4.0ms (8.8% of total)

ival-pi: 2.0ms (4.4% of total)

ival-neg: 2.0ms (4.4% of total)

ival-true: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Status

Accuracy

Program

▶

97.7%

(/.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 27 to 18 computations (33.3% saved)

simplify205.0ms (1.4%)

Memory

-0.6MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	32	(.f32 (.f32 (/.f32 #s(literal 1 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	32	(+.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	320	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))

Rules

1 608×	`accelerator-lowering-fma.f32`
1 608×	`accelerator-lowering-fma.f64`
1 040×	`-lowering-.f32`
1 040×	`-lowering-.f64`
978×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	126
1	44	118
2	106	115
3	226	115
4	349	115
5	727	115
6	1873	115
7	2807	115
8	3448	115
9	4078	115
10	4244	115
11	4279	115
12	4312	115
13	4446	115
14	5067	115
15	5075	115
16	5079	115
17	5079	115
0	5079	108

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize63.0ms (0.4%)

Memory

0.2MiB live, 117.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓	accuracy	97.7%	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓	accuracy	96.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))

Samples

34.0ms

256×

valid

Compiler

Compiled 128 to 20 computations (84.4% saved)

Precisions

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

ival-mult: 6.0ms (25.9% of total)

ival-div: 5.0ms (21.6% of total)

ival-add: 3.0ms (12.9% of total)

ival-sqrt: 3.0ms (12.9% of total)

ival-exp: 2.0ms (8.6% of total)

ival-sub: 2.0ms (8.6% of total)

ival-pi: 1.0ms (4.3% of total)

ival-neg: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory

-24.2MiB live, 49.9MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta))>
#<alt (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))>
#<alt (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))>
#<alt (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))>
#<alt (/ 1 (sqrt (PI)))>
#<alt (- (- 1 cosTheta) cosTheta)>

Outputs
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)>
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))>
#<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))))>
#<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)))))>
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))>
#<alt (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))>
#<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))))))>
#<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)))))))>
#<alt (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))>
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))>
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))>
#<alt (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))>
#<alt c>
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))>
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))>
#<alt (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))>
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)>
#<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)>
#<alt (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))>
#<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))))))>
#<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)))))))>
#<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))))))))>
#<alt (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))>
#<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)))))))>
#<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))))))))>
#<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)))))))))>
#<alt (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)>
#<alt (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)>
#<alt (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))>
#<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))))>
#<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)))))>
#<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))))))>
#<alt (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))>
#<alt (+ (* -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)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -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)))))))>
#<alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<alt (/ 1 c)>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)>
#<alt (/ (- (+ 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)>
#<alt (/ (- (+ 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)>
#<alt (/ 1 c)>
#<alt (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* cosTheta (sqrt (PI)))>
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))>
#<alt (* 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)))))))))))>
#<alt (* 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)))))))))))>
#<alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))>
#<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)))))))>
#<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))))))>
#<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))))))))>
#<alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))>
#<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)))))))))>
#<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))))))>
#<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)))))))))>
#<alt 1>
#<alt (+ 1 (* -2 cosTheta))>
#<alt (+ 1 (* -2 cosTheta))>
#<alt (+ 1 (* -2 cosTheta))>
#<alt (* -2 cosTheta)>
#<alt (* cosTheta (- (/ 1 cosTheta) 2))>
#<alt (* cosTheta (- (/ 1 cosTheta) 2))>
#<alt (* cosTheta (- (/ 1 cosTheta) 2))>
#<alt (* -2 cosTheta)>
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))>
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))>
#<alt (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))>

Calls

21 calls:

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

rewrite338.0ms (2.3%)

Memory

11.9MiB live, 638.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 132×	`accelerator-lowering-fma.f32`
4 132×	`accelerator-lowering-fma.f64`
3 752×	`-lowering-.f32`
3 752×	`-lowering-.f64`
3 536×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	89
1	126	80
2	1045	73
0	8540	73

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 473

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (neg.f32 cosTheta)))
(pow.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 cosTheta))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (neg.f32 cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 cosTheta (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 cosTheta)))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (*.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32))))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (neg.f32 cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 cosTheta)) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (neg.f32 cosTheta))
(*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) 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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))
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simplify454.0ms (3.1%)

Memory

17.4MiB live, 751.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 656×	`accelerator-lowering-fma.f32`
9 656×	`accelerator-lowering-fma.f64`
5 090×	`-lowering-.f32`
5 090×	`-lowering-.f64`
4 540×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	3676
1	1246	3572
2	4769	3476
0	8360	3311

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

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

eval68.0ms (0.5%)

Memory: -1.3MiB live, 150.8MiB allocated
Compiler: Compiled 23 777 to 2 836 computations (88.1% saved)

prune104.0ms (0.7%)

Memory

-28.4MiB live, 221.6MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	528	29	557
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	529	29	558

Accuracy

99.9%

Counts

558 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	57.3%	(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) cosTheta))) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))))))
▶	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
	60.0%	(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c (.f32 c c) #s(literal 1 binary32)) cosTheta (.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))))) (*.f32 (fma.f32 c (+.f32 c #s(literal -1 binary32)) #s(literal 1 binary32)) cosTheta)))
	98.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 c c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) (.f32 (+.f32 c #s(literal -1 binary32)) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))))) (.f32 (+.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))) (+.f32 c #s(literal -1 binary32)) (.f32 cosTheta (fma.f32 c c #s(literal -1 binary32)))) (.f32 cosTheta (+.f32 c #s(literal -1 binary32)))))
▶	96.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	94.8%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	96.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	91.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
	36.2%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))) (fma.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)) #s(literal 3 binary32))))))))
	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) c) #s(literal 1 binary32)))
	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))))) cosTheta)))
	96.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
	91.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))))))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	5.2%	(/.f32 #s(literal 1 binary32) c)
	36.2%	(-.f32 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))))) (fma.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)) #s(literal 3 binary32)))))) (/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (fma.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)) #s(literal 3 binary32)))))))
	57.3%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta))))
	95.3%	(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
▶	96.2%	(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
	91.9%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
▶	90.6%	(exp.f32 (.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) cosTheta) c)) #s(literal -1 binary32)))

Compiler

Compiled 2 080 to 1 008 computations (51.5% saved)

simplify446.0ms (3.1%)

Memory

26.4MiB live, 647.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) c))
✓	cost-diff	32	(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
✓	cost-diff	96	(.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) cosTheta) c)) #s(literal -1 binary32))
✓	cost-diff	6016	(exp.f32 (.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) cosTheta) c)) #s(literal -1 binary32)))
✓	cost-diff	0	(fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
✓	cost-diff	0	(fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32)))
✓	cost-diff	0	(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
✓	cost-diff	800	(fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (*.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32))))
✓	cost-diff	0	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c))
✓	cost-diff	0	(/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
✓	cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
✓	cost-diff	576	(fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) c)
✓	cost-diff	0	(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)
✓	cost-diff	0	(fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
✓	cost-diff	32	(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))

Rules

15 656×	`accelerator-lowering-fma.f32`
15 656×	`accelerator-lowering-fma.f64`
4 154×	`-lowering-.f32`
4 154×	`-lowering-.f64`
2 678×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	618
1	160	617
2	479	605
3	1744	584
4	5877	584
0	8162	543

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))
1
(+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c))
(/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))
(/ (- (- 1 cosTheta) cosTheta) (PI))
(- (- 1 cosTheta) cosTheta)
(- 1 cosTheta)
cosTheta
(PI)
(exp (- 0 (* cosTheta cosTheta)))
(- 0 (* cosTheta cosTheta))
0
(* cosTheta cosTheta)
(+ 1 c)
c
(/ 1 c)
1
c
(/ 1 (/ (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI)))) cosTheta))
1
(/ (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI)))) cosTheta)
(+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI))))
cosTheta
(+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(PI)
(+ (* -3/2 cosTheta) -1)
-3/2
-1
(+ 1 c)
c
(* cosTheta (+ (* cosTheta (+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))) (sqrt (PI))))
cosTheta
(+ (* cosTheta (+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))) (sqrt (PI)))
(+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))
(+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))
(PI)
(* (sqrt (/ 1 (PI))) 3/2)
(sqrt (/ 1 (PI)))
(/ 1 (PI))
1
3/2
(* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI))))))
(sqrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))
(- (+ 1 c) (sqrt (/ 1 (PI))))
(+ 1 c)
c
(neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI)))
(+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))
(- c (sqrt (/ 1 (PI))))
(sqrt (PI))
(exp (* (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c))) -1))
(* (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c))) -1)
(log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c)))
(+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c)
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))
(/ (- (- 1 cosTheta) cosTheta) (PI))
(- (- 1 cosTheta) cosTheta)
(- 1 cosTheta)
1
cosTheta
(PI)
(/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)
(exp (- 0 (* cosTheta cosTheta)))
(- 0 (* cosTheta cosTheta))
0
(* cosTheta cosTheta)
c
-1

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

localize202.0ms (1.4%)

Memory

19.5MiB live, 378.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓	accuracy	97.9%	(fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) c)
✓	accuracy	97.6%	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
✓	accuracy	90.9%	(exp.f32 (.f32 (log1p.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) cosTheta) c)) #s(literal -1 binary32)))
✓	accuracy	97.3%	(fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32))
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	96.8%	(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
✓	accuracy	98.3%	(/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
✓	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	96.8%	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) c)
✓	accuracy	99.7%	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
✓	accuracy	98.2%	(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)
✓	accuracy	97.6%	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))

Samples

113.0ms

256×

valid

Compiler

Compiled 612 to 58 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 28.0ms (37% of total)

ival-div: 12.0ms (15.9% of total)

ival-add: 10.0ms (13.2% of total)

ival-sub: 8.0ms (10.6% of total)

ival-sqrt: 6.0ms (7.9% of total)

ival-exp: 5.0ms (6.6% of total)

ival-log1p: 3.0ms (4% of total)

ival-pi: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series86.0ms (0.6%)

Memory

-17.6MiB live, 152.0MiB allocated

Counts

23 → 408

Calls

Call 1

Inputs
#<alt (- 0 (* cosTheta cosTheta))>
#<alt (/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))>
#<alt (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c))>
#<alt (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)>
#<alt (/ 1 c)>
#<alt (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI))))>
#<alt (/ 1 (/ (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI)))) cosTheta))>
#<alt (/ (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI)))) cosTheta)>
#<alt (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))>
#<alt (+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))>
#<alt (* cosTheta (+ (* cosTheta (+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))) (sqrt (PI))))>
#<alt (+ (* cosTheta (+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))) (sqrt (PI)))>
#<alt (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))>
#<alt (exp (* (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c))) -1))>
#<alt (* (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c))) -1)>
#<alt (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c)))>
#<alt (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))>
#<alt (- (- 1 cosTheta) cosTheta)>
#<alt (sqrt (/ 1 (PI)))>
#<alt (- (+ 1 c) (sqrt (/ 1 (PI))))>
#<alt (* (PI) (PI))>
#<alt (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))>
#<alt (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c)>

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

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	cosTheta	@	-inf	(/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))
6.0ms	c	@	inf	(* cosTheta (+ (* cosTheta (+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))) (sqrt (PI))))
5.0ms	cosTheta	@	inf	(* (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c))) -1)
5.0ms	cosTheta	@	inf	(/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))
4.0ms	cosTheta	@	-inf	(* (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c))) -1)

rewrite581.0ms (4%)

Memory

-23.1MiB live, 704.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 782×	`accelerator-lowering-fma.f32`
4 782×	`accelerator-lowering-fma.f64`
4 192×	`-lowering-.f32`
4 192×	`-lowering-.f64`
3 154×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	411
1	407	369
2	3897	361
0	8378	338

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 723

Calls

Call 1

Inputs
(- 0 (* cosTheta cosTheta))
(/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))
(+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c))
(/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)
(/ 1 c)
(+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI))))
(/ 1 (/ (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI)))) cosTheta))
(/ (+ (* cosTheta (+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))) (sqrt (/ 1 (PI)))) cosTheta)
(+ (* (sqrt (/ 1 (PI))) (+ (* -3/2 cosTheta) -1)) (+ 1 c))
(+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))
(* cosTheta (+ (* cosTheta (+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))) (sqrt (PI))))
(+ (* cosTheta (+ (* cosTheta (+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))) (neg (+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))))) (sqrt (PI)))
(+ (* (PI) (* (sqrt (/ 1 (PI))) 3/2)) (* (sqrt (* (PI) (* (PI) (PI)))) (* (- (+ 1 c) (sqrt (/ 1 (PI)))) (- (+ 1 c) (sqrt (/ 1 (PI)))))))
(exp (* (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c))) -1))
(* (log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c))) -1)
(log (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c)))
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))
(- (- 1 cosTheta) cosTheta)
(sqrt (/ 1 (PI)))
(- (+ 1 c) (sqrt (/ 1 (PI))))
(* (PI) (PI))
(+ (* (PI) (- c (sqrt (/ 1 (PI))))) (PI))
(+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (- 0 (* cosTheta cosTheta))) cosTheta)) c)

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

simplify950.0ms (6.6%)

Memory

23.2MiB live, 891.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 296×	`-lowering-.f32`
7 296×	`-lowering-.f64`
7 134×	`accelerator-lowering-fma.f32`
7 134×	`accelerator-lowering-fma.f64`
5 384×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1171	16379
1	3906	15827
0	8587	14988

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

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

Outputs
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(* 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 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (neg.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(* 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 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 cosTheta (fma.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (neg.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (fma.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (neg.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))
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(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) c)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) c))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))))
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c
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c
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))
(.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
(* (/ 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 cosTheta (.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32)))))
(+ (* -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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))))
(+ (* -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 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32)))))))
(* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))
(+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -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)))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (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)))) (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 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 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 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)
(sqrt (/ 1 (PI)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))
(fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))))
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))))
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI)))))
(.f32 (.f32 #s(literal -3/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta)))))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta))))))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta))))))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(* -3/2 (* (pow cosTheta 2) (sqrt (/ 1 (PI)))))
(.f32 (.f32 #s(literal -3/2 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta)))))
(.f32 (.f32 cosTheta cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 c cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta))))
(.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)))
(* (pow cosTheta 2) (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta))))
(.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)))
(+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)))))
(fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)))
(+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)))
(+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta c)))
(* c cosTheta)
(*.f32 cosTheta c)
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (/ (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)))) c))))
(*.f32 c (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (/ (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)))) c))))
(*.f32 c (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))
(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (/ (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)))) c))))
(*.f32 c (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))))
(* c cosTheta)
(*.f32 cosTheta c)
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))) c)))))
(neg.f32 (*.f32 c (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))))
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))) c)))))
(neg.f32 (*.f32 c (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))))
(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))) c)))))
(neg.f32 (*.f32 c (-.f32 (neg.f32 cosTheta) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(.f32 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (neg.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))) (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 cosTheta (fma.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (neg.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))) (.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) #s(literal 3/2 binary32))) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (neg.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/ (+ (* -2/3 (sqrt (PI))) (* -4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta)
(/.f32 (fma.f32 #s(literal -4/9 binary32) (/.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32))) cosTheta)
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))) cosTheta)
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(/ (- (+ (* -1 (/ (+ (* 8/27 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* 2/3 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* 8/27 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* 4/9 (sqrt (PI)))))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* 8/27 (* (/ (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (+ (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))) (* 4/9 (/ (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta))))) cosTheta)
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(/.f32 #s(literal 1 binary32) c)
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))))) cosTheta)
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(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta))))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (+ (/ 1 cosTheta) (/ c cosTheta))))))
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(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
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(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
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(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))) cosTheta)
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(+ c (+ (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)))))
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(+ c (+ (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)))))
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(+ c (+ (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)))))
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c
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(fma.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))) c)
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(fma.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))) c)
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(fma.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))) c)
c
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
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(+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))
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(+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))
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(+ 1 (+ c (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))
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(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta)))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta)))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (/ 1 cosTheta) (/ c cosTheta)))))
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(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
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(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
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(+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)))
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(+ 1 (+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))
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(+ 1 (+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))
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(+ 1 (+ c (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))))
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c
(* c (+ 1 (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))
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(* c (+ 1 (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))
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(* c (+ 1 (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))
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c
(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1))) c)) 1)))
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(* -1 (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))))
(neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))
(- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))))
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(- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))))
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(- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))))
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(* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2))))
(.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))))
(* cosTheta (+ (* -1 (/ (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))) cosTheta)) (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))))
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(* cosTheta (+ (* -1 (/ (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))) cosTheta)) (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))))
(.f32 cosTheta (-.f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (/.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) cosTheta)))
(* cosTheta (+ (* -1 (/ (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))) cosTheta)) (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))))
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(* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2))))
(.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))))
(* -1 (* cosTheta (+ (* -1 (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (+ (/ (PI) cosTheta) (/ (* (PI) (- c (sqrt (/ 1 (PI))))) cosTheta)))))
(neg.f32 (.f32 cosTheta (-.f32 (fma.f32 (PI.f32) (/.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (/.f32 (PI.f32) cosTheta)) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))))))
(* -1 (* cosTheta (+ (* -1 (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (+ (/ (PI) cosTheta) (/ (* (PI) (- c (sqrt (/ 1 (PI))))) cosTheta)))))
(neg.f32 (.f32 cosTheta (-.f32 (fma.f32 (PI.f32) (/.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (/.f32 (PI.f32) cosTheta)) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))))))
(* -1 (* cosTheta (+ (* -1 (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (+ (/ (PI) cosTheta) (/ (* (PI) (- c (sqrt (/ 1 (PI))))) cosTheta)))))
(neg.f32 (.f32 cosTheta (-.f32 (fma.f32 (PI.f32) (/.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (/.f32 (PI.f32) cosTheta)) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))))))
(- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI)))))
(fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(- (+ (* c (- (* (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) (sqrt (pow (PI) 3))) (PI))) (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2))))) (+ (PI) (* -1 (sqrt (PI)))))
(fma.f32 c (fma.f32 cosTheta (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32)))) (neg.f32 (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32))))))
(- (+ (* c (- (+ (* (* c cosTheta) (sqrt (pow (PI) 3))) (* (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) (sqrt (pow (PI) 3)))) (PI))) (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2))))) (+ (PI) (* -1 (sqrt (PI)))))
(fma.f32 c (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 cosTheta c (.f32 cosTheta (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32))))) (neg.f32 (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32))))))
(- (+ (* c (- (+ (* (* c cosTheta) (sqrt (pow (PI) 3))) (* (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) (sqrt (pow (PI) 3)))) (PI))) (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2))))) (+ (PI) (* -1 (sqrt (PI)))))
(fma.f32 c (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 cosTheta c (.f32 cosTheta (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32))))) (neg.f32 (PI.f32))) (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32))))))
(* (* (pow c 2) cosTheta) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 cosTheta (*.f32 c c)))
(* (pow c 2) (- (+ (* cosTheta (sqrt (pow (PI) 3))) (* (/ (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) c) (sqrt (pow (PI) 3)))) (/ (PI) c)))
(.f32 (.f32 c c) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 cosTheta (/.f32 (.f32 cosTheta (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32)))) c)) (-.f32 #s(literal 0 binary32) (/.f32 (PI.f32) c))))
(* (pow c 2) (- (+ (* cosTheta (sqrt (pow (PI) 3))) (+ (* (/ (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) c) (sqrt (pow (PI) 3))) (/ (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (pow c 2)))) (+ (* -1 (* (/ 1 (pow c 2)) (sqrt (PI)))) (+ (/ (PI) c) (/ (PI) (pow c 2))))))
(.f32 (.f32 c c) (-.f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 cosTheta (/.f32 (.f32 cosTheta (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32)))) c)) (/.f32 (.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32)))) (.f32 c c))) (-.f32 (+.f32 (/.f32 (PI.f32) c) (/.f32 (PI.f32) (.f32 c c))) (/.f32 (sqrt.f32 (PI.f32)) (.f32 c c)))))
(* (pow c 2) (- (+ (* cosTheta (sqrt (pow (PI) 3))) (+ (* (/ (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) c) (sqrt (pow (PI) 3))) (/ (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (pow c 2)))) (+ (* -1 (* (/ 1 (pow c 2)) (sqrt (PI)))) (+ (/ (PI) c) (/ (PI) (pow c 2))))))
(.f32 (.f32 c c) (-.f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 cosTheta (/.f32 (.f32 cosTheta (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32)))) c)) (/.f32 (.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32)))) (.f32 c c))) (-.f32 (+.f32 (/.f32 (PI.f32) c) (/.f32 (PI.f32) (.f32 c c))) (/.f32 (sqrt.f32 (PI.f32)) (.f32 c c)))))
(* (* (pow c 2) cosTheta) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 cosTheta (*.f32 c c)))
(* (pow c 2) (+ (* -1 (/ (- (* -2 (* (* cosTheta (- 1 (sqrt (/ 1 (PI))))) (sqrt (pow (PI) 3)))) (* -1 (PI))) c)) (* cosTheta (sqrt (pow (PI) 3)))))
(.f32 (.f32 c c) (fma.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (PI.f32)) (neg.f32 c))))
(* (pow c 2) (+ (* -1 (/ (- (+ (* -2 (* (* cosTheta (- 1 (sqrt (/ 1 (PI))))) (sqrt (pow (PI) 3)))) (* -1 (/ (- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI))))) c))) (* -1 (PI))) c)) (* cosTheta (sqrt (pow (PI) 3)))))
(.f32 (.f32 c c) (fma.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32))))) (neg.f32 c))) (PI.f32)) (neg.f32 c))))
(* (pow c 2) (+ (* -1 (/ (- (+ (* -2 (* (* cosTheta (- 1 (sqrt (/ 1 (PI))))) (sqrt (pow (PI) 3)))) (* -1 (/ (- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI))))) c))) (* -1 (PI))) c)) (* cosTheta (sqrt (pow (PI) 3)))))
(.f32 (.f32 c c) (fma.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32))))) (neg.f32 c))) (PI.f32)) (neg.f32 c))))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI))))))))))
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI))))))) (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2))))))))
(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI))))))) (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2))))))))
(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(* (pow cosTheta 3) (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2))))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))))
(* (pow cosTheta 3) (+ (* -1 (/ (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))) cosTheta)) (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (-.f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (/.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) cosTheta)))
(* (pow cosTheta 3) (+ (* -1 (/ (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))) cosTheta)) (+ (* 3/2 (sqrt (PI))) (+ (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)) (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))))))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (-.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) cosTheta)))
(* (pow cosTheta 3) (+ (* -1 (/ (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI)))))) cosTheta)) (+ (* 3/2 (sqrt (PI))) (+ (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)) (* (/ 1 (pow cosTheta 2)) (sqrt (PI)))))))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (-.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) cosTheta)))
(* (pow cosTheta 3) (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2))))
(.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))))
(* -1 (* (pow cosTheta 3) (+ (* -1 (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (+ (/ (PI) cosTheta) (/ (* (PI) (- c (sqrt (/ 1 (PI))))) cosTheta)))))
(.f32 (-.f32 (fma.f32 (PI.f32) (/.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta) (/.f32 (PI.f32) cosTheta)) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32)))) (neg.f32 (.f32 cosTheta (*.f32 cosTheta cosTheta))))
(* -1 (* (pow cosTheta 3) (+ (* -1 (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (* -1 (/ (+ (* -1 (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI))))))) (* (/ 1 cosTheta) (sqrt (PI)))) cosTheta)))))
(.f32 (neg.f32 (+.f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (/.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32))) cosTheta))) (neg.f32 (.f32 cosTheta (*.f32 cosTheta cosTheta))))
(* -1 (* (pow cosTheta 3) (+ (* -1 (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- (+ 1 c) (sqrt (/ 1 (PI)))) 2)))) (* -1 (/ (+ (* -1 (+ (PI) (* (PI) (- c (sqrt (/ 1 (PI))))))) (* (/ 1 cosTheta) (sqrt (PI)))) cosTheta)))))
(.f32 (neg.f32 (+.f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (/.f32 (-.f32 (/.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32))) cosTheta))) (neg.f32 (.f32 cosTheta (*.f32 cosTheta cosTheta))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI))))))))
(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32))))
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(+ (sqrt (PI)) (+ (* c (+ (* cosTheta (- (* (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) (sqrt (pow (PI) 3))) (PI))) (* (* c (pow cosTheta 2)) (sqrt (pow (PI) 3))))) (* cosTheta (- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI))))))))
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(* (* (pow c 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 c c)))
(* (pow c 2) (+ (* (pow cosTheta 2) (sqrt (pow (PI) 3))) (/ (* cosTheta (- (* (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) (sqrt (pow (PI) 3))) (PI))) c)))
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(* (pow c 2) (+ (* (/ 1 (pow c 2)) (sqrt (PI))) (+ (* (pow cosTheta 2) (sqrt (pow (PI) 3))) (+ (/ (* cosTheta (- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI)))))) (pow c 2)) (/ (* cosTheta (- (* (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) (sqrt (pow (PI) 3))) (PI))) c)))))
(.f32 (.f32 c c) (+.f32 (/.f32 (sqrt.f32 (PI.f32)) (.f32 c c)) (fma.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32))))) (.f32 c c)) (/.f32 (.f32 cosTheta (fma.f32 cosTheta (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32)))) (neg.f32 (PI.f32)))) c)))))
(* (pow c 2) (+ (* (/ 1 (pow c 2)) (sqrt (PI))) (+ (* (pow cosTheta 2) (sqrt (pow (PI) 3))) (+ (/ (* cosTheta (- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI)))))) (pow c 2)) (/ (* cosTheta (- (* (* cosTheta (- 2 (* 2 (sqrt (/ 1 (PI)))))) (sqrt (pow (PI) 3))) (PI))) c)))))
(.f32 (.f32 c c) (+.f32 (/.f32 (sqrt.f32 (PI.f32)) (.f32 c c)) (fma.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 cosTheta (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 (-.f32 (PI.f32) (sqrt.f32 (PI.f32))))) (.f32 c c)) (/.f32 (.f32 cosTheta (fma.f32 cosTheta (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32)))) (neg.f32 (PI.f32)))) c)))))
(* (* (pow c 2) (pow cosTheta 2)) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 c c)))
(* (pow c 2) (+ (* -1 (/ (* cosTheta (- (* -2 (* (* cosTheta (- 1 (sqrt (/ 1 (PI))))) (sqrt (pow (PI) 3)))) (* -1 (PI)))) c)) (* (pow cosTheta 2) (sqrt (pow (PI) 3)))))
(.f32 (.f32 c c) (fma.f32 cosTheta (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (PI.f32)) (neg.f32 c)) (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI))))))) c)) (* cosTheta (- (* -2 (* (* cosTheta (- 1 (sqrt (/ 1 (PI))))) (sqrt (pow (PI) 3)))) (* -1 (PI))))) c)) (* (pow cosTheta 2) (sqrt (pow (PI) 3)))))
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(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))) (+ (PI) (* -1 (sqrt (PI))))))) c)) (* cosTheta (- (* -2 (* (* cosTheta (- 1 (sqrt (/ 1 (PI))))) (sqrt (pow (PI) 3)))) (* -1 (PI))))) c)) (* (pow cosTheta 2) (sqrt (pow (PI) 3)))))
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(+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)))
(fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32)))
(+ (* 3/2 (sqrt (PI))) (+ (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2)) (* (* c (- 2 (* 2 (sqrt (/ 1 (PI)))))) (sqrt (pow (PI) 3)))))
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(+ (* 3/2 (sqrt (PI))) (+ (* c (+ (* c (sqrt (pow (PI) 3))) (* (sqrt (pow (PI) 3)) (- 2 (* 2 (sqrt (/ 1 (PI)))))))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2))))
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(+ (* 3/2 (sqrt (PI))) (+ (* c (+ (* c (sqrt (pow (PI) 3))) (* (sqrt (pow (PI) 3)) (- 2 (* 2 (sqrt (/ 1 (PI)))))))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2))))
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(* (pow c 2) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 c c))
(* (pow c 2) (+ (sqrt (pow (PI) 3)) (* (/ (- 2 (* 2 (sqrt (/ 1 (PI))))) c) (sqrt (pow (PI) 3)))))
(.f32 (.f32 c c) (.f32 (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32))) c) #s(literal 1 binary32)) (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))))
(* (pow c 2) (+ (sqrt (pow (PI) 3)) (+ (* 3/2 (* (/ 1 (pow c 2)) (sqrt (PI)))) (+ (* (/ (- 2 (* 2 (sqrt (/ 1 (PI))))) c) (sqrt (pow (PI) 3))) (* (/ (pow (- 1 (sqrt (/ 1 (PI)))) 2) (pow c 2)) (sqrt (pow (PI) 3)))))))
(.f32 (.f32 c c) (+.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32))) c) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 c c))) (.f32 #s(literal 3/2 binary32) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 c c))))))
(* (pow c 2) (+ (sqrt (pow (PI) 3)) (+ (* 3/2 (* (/ 1 (pow c 2)) (sqrt (PI)))) (+ (* (/ (- 2 (* 2 (sqrt (/ 1 (PI))))) c) (sqrt (pow (PI) 3))) (* (/ (pow (- 1 (sqrt (/ 1 (PI)))) 2) (pow c 2)) (sqrt (pow (PI) 3)))))))
(.f32 (.f32 c c) (+.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (+.f32 (/.f32 (+.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -2 binary32))) c) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 c c))) (.f32 #s(literal 3/2 binary32) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 c c))))))
(* (pow c 2) (sqrt (pow (PI) 3)))
(.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 c c))
(* (pow c 2) (+ (sqrt (pow (PI) 3)) (* 2 (* (/ (- 1 (sqrt (/ 1 (PI)))) c) (sqrt (pow (PI) 3))))))
(.f32 (.f32 c c) (fma.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c)) (sqrt.f32 (.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(* (pow c 2) (+ (sqrt (pow (PI) 3)) (* -1 (/ (+ (* -2 (* (sqrt (pow (PI) 3)) (- 1 (sqrt (/ 1 (PI)))))) (* -1 (/ (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2))) c))) c))))
(.f32 (.f32 c c) (-.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 c))) c)))
(* (pow c 2) (+ (sqrt (pow (PI) 3)) (* -1 (/ (+ (* -2 (* (sqrt (pow (PI) 3)) (- 1 (sqrt (/ 1 (PI)))))) (* -1 (/ (+ (* 3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (- 1 (sqrt (/ 1 (PI)))) 2))) c))) c))))
(.f32 (.f32 c c) (-.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (/.f32 (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 3/2 binary32))) (neg.f32 c))) c)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(* 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 (log (/ 1 c)))
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(sqrt (/ 1 (PI)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
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(* (sqrt (/ cosTheta (PI))) (sqrt -2))
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(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
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(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))
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(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))))
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1
#s(literal 1 binary32)
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(* cosTheta (- (/ 1 cosTheta) 2))
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(* -2 cosTheta)
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(- (+ 1 c) (sqrt (/ 1 (PI))))
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c
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI))))))
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c
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(+ (PI) (* -1 (sqrt (PI))))
(-.f32 (PI.f32) (sqrt.f32 (PI.f32)))
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(+ (PI) (+ (* -1 (sqrt (PI))) (* c (PI))))
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(* c (PI))
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (+.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 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 cosTheta (+.f32 (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) c)
(+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))
(+.f32 c (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))))
(+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))
(+.f32 c (fma.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32)))))))
(+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (neg (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))
(+.f32 c (fma.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32)))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))))))))
(+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) c)
(+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2))))))
(+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) c) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))
(+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))
(+.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) c) (fma.f32 (.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))
(+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))
(+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (neg.f32 (.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (.f32 (.f32 #s(literal 1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32)))))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))))))))
(* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))
(/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta)
(+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)
(+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)
(+ c (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))
(fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) c)
c
(* c (+ 1 (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)))
(* c (+ 1 (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)))
(* c (+ 1 (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
(.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta c)) #s(literal 1 binary32)))
c
(* -1 (* c (- (* -1 (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1)))
(.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c))
(* -1 (* c (- (* -1 (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1)))
(.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c))
(* -1 (* c (- (* -1 (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1)))
(.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (neg.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (*.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c))

eval299.0ms (2.1%)

Memory: -0.1MiB live, 318.7MiB allocated
Compiler: Compiled 68 963 to 5 935 computations (91.4% saved)

prune297.0ms (2.1%)

Memory

21.3MiB live, 409.7MiB allocated

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	1 425	21	1 446
Fresh	13	11	24
Picked	4	1	5
Done	0	0	0
Total	1 442	33	1 475

Accuracy

100.0%

Counts

1 475 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) cosTheta))
	95.8%	(/.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
	96.0%	(/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
▶	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
▶	98.2%	(/.f32 #s(literal 1 binary32) (fma.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)))
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
	60.0%	(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)))
	58.1%	(/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))) c))
	96.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))
	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
▶	94.8%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	96.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	91.5%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	49.5%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) cosTheta))
	96.0%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) cosTheta))
	91.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))
	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))))) cosTheta)))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
	91.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	95.7%	(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) cosTheta)))
▶	58.4%	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
✓	5.2%	(/.f32 #s(literal 1 binary32) c)
	96.2%	(.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))) cosTheta)
	96.9%	(.f32 (/.f32 cosTheta (fma.f32 cosTheta (.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))))
	57.7%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (neg.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))) (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 cosTheta (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) c)))
	95.3%	(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
	96.0%	(.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (PI.f32) (.f32 cosTheta (fma.f32 cosTheta (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)))))))
	96.1%	(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
▶	91.9%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
	90.4%	(exp.f32 (neg.f32 (log1p.f32 (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta))))

Compiler

Compiled 1 743 to 988 computations (43.3% saved)

simplify260.0ms (1.8%)

Memory

-7.2MiB live, 513.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
✓	cost-diff	0	(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)
✓	cost-diff	0	(fma.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))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.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)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
✓	cost-diff	64	(/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c))
✓	cost-diff	576	(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
✓	cost-diff	672	(+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
✓	cost-diff	0	(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
✓	cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
✓	cost-diff	576	(fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
✓	cost-diff	-32	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(sqrt.f32 (PI.f32))
✓	cost-diff	0	(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
✓	cost-diff	0	(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
✓	cost-diff	32	(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))

Rules

8 068×	`accelerator-lowering-fma.f32`
8 068×	`accelerator-lowering-fma.f64`
2 634×	`--lowering--.f32`
2 634×	`--lowering--.f64`
2 098×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	426
1	120	423
2	273	416
3	561	411
4	1386	403
5	4494	388
0	8230	357

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))
1
(+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c))
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta)
(sqrt (/ (+ (* cosTheta -2) 1) (PI)))
(/ (+ (* cosTheta -2) 1) (PI))
(+ (* cosTheta -2) 1)
cosTheta
-2
(PI)
(exp (- 0 (* cosTheta cosTheta)))
(- 0 (* cosTheta cosTheta))
0
(* cosTheta cosTheta)
(+ 1 c)
c
(* cosTheta (sqrt (PI)))
cosTheta
(sqrt (PI))
(PI)
(/ 1 (/ (+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI)))) cosTheta))
1
(/ (+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI)))) cosTheta)
(+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI))))
cosTheta
(- (+ 1 c) (sqrt (/ 1 (PI))))
(+ 1 c)
c
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(PI)
(/ 1 (* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))
1
(* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c))
(+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1)
(/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c))
(+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1))
(/ (sqrt (/ 1 (PI))) cosTheta)
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(PI)
cosTheta
(+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)
(+ (* cosTheta -3/2) -1)
-3/2
-1
(neg c)
c
(/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c)))
1
(+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c))
(/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))
(/ (- (- 1 cosTheta) cosTheta) (PI))
(- (- 1 cosTheta) cosTheta)
(- 1 cosTheta)
cosTheta
(PI)
(exp (* (neg cosTheta) cosTheta))
(* (neg cosTheta) cosTheta)
(neg cosTheta)
(+ 1 c)
c

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

localize181.0ms (1.2%)

Memory

32.3MiB live, 301.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (fma.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)))
✓	accuracy	98.2%	(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)
✓	accuracy	97.6%	(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
✓	accuracy	98.0%	(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
✓	accuracy	96.9%	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
✓	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	61.0%	(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
✓	accuracy	98.2%	(/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
✓	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	96.8%	(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
✓	accuracy	100.0%	(sqrt.f32 (PI.f32))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	98.8%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓	accuracy	99.7%	(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
✓	accuracy	98.2%	(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
✓	accuracy	97.6%	(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))

Samples

112.0ms

256×

valid

Compiler

Compiled 406 to 53 computations (86.9% saved)

Precisions

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

ival-add: 31.0ms (36.2% of total)

ival-div: 18.0ms (21% of total)

ival-mult: 14.0ms (16.4% of total)

ival-sqrt: 8.0ms (9.3% of total)

ival-exp: 6.0ms (7% of total)

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

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

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

exact: 1.0ms (1.2% of total)

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

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

series58.0ms (0.4%)

Memory

-40.7MiB live, 105.2MiB allocated

Counts

25 → 384

Calls

Call 1

Inputs
#<alt (- 0 (* cosTheta cosTheta))>
#<alt (/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))>
#<alt (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c))>
#<alt (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta)>
#<alt (sqrt (PI))>
#<alt (PI)>
#<alt (* cosTheta (sqrt (PI)))>
#<alt (+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI))))>
#<alt (/ 1 (/ (+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI)))) cosTheta))>
#<alt (/ (+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI)))) cosTheta)>
#<alt (- (+ 1 c) (sqrt (/ 1 (PI))))>
#<alt (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1))>
#<alt (* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c))>
#<alt (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c))>
#<alt (/ 1 (* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))>
#<alt (/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c)))>
#<alt (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c))>
#<alt (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)>
#<alt (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))>
#<alt (sqrt (/ (+ (* cosTheta -2) 1) (PI)))>
#<alt (/ (+ (* cosTheta -2) 1) (PI))>
#<alt (sqrt (/ 1 (PI)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)>
#<alt (/ (sqrt (/ 1 (PI))) cosTheta)>
#<alt (- (- 1 cosTheta) cosTheta)>

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

Calls

96 calls:

Time	Variable		Point	Expression
18.0ms	c	@	0	(* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c))
2.0ms	cosTheta	@	0	(/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))
1.0ms	cosTheta	@	inf	(/ 1 (* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))
1.0ms	cosTheta	@	-inf	(/ 1 (* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))
1.0ms	cosTheta	@	0	(/ 1 (* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))

rewrite462.0ms (3.2%)

Memory

6.3MiB live, 982.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 376×	`/-lowering-/.f32`
4 376×	`/-lowering-/.f64`
3 638×	`-lowering-.f32`
3 638×	`-lowering-.f64`
2 870×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	321
1	354	285
2	3399	285
0	9510	268

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 922

Calls

Call 1

Inputs
(- 0 (* cosTheta cosTheta))
(/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c)))
(+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (- 0 (* cosTheta cosTheta)))) (+ 1 c))
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta)
(sqrt (PI))
(PI)
(* cosTheta (sqrt (PI)))
(+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI))))
(/ 1 (/ (+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI)))) cosTheta))
(/ (+ (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI)))) cosTheta)
(- (+ 1 c) (sqrt (/ 1 (PI))))
(+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1))
(* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c))
(/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c))
(/ 1 (* (+ (/ (+ (/ (sqrt (/ 1 (PI))) cosTheta) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))
(/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c)))
(+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c))
(/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)
(sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))
(sqrt (/ (+ (* cosTheta -2) 1) (PI)))
(/ (+ (* cosTheta -2) 1) (PI))
(sqrt (/ 1 (PI)))
(+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)
(/ (sqrt (/ 1 (PI))) cosTheta)
(- (- 1 cosTheta) cosTheta)

Outputs
(neg.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))
(+.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) #s(literal 0 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)) (neg.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))) #s(literal -1 binary32))
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 0 binary32))
(fma.f32 (neg.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal 0 binary32))
(fma.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) #s(literal 0 binary32))
(-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)) (neg.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)) (neg.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))
(/.f32 (neg.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))) (+.f32 #s(literal 0 binary32) (-.f32 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)) (.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))))))
(/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))
(/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))))) (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.f32 (neg.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))))) (neg.f32 (+.f32 #s(literal 0 binary32) (-.f32 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)) (.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))) (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))) (neg.f32 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))))) (neg.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))))) (neg.f32 (-.f32 #s(literal 0 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))))
(*.f32 cosTheta (neg.f32 cosTheta))
(*.f32 #s(literal -1 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))
(*.f32 (neg.f32 cosTheta) cosTheta)
(.f32 (neg.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c))))
(exp.f32 (.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c)) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (*.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c))))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) cosTheta)) (+.f32 #s(literal 1 binary32) c))))
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(fma.f32 cosTheta #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) cosTheta))
(fma.f32 cosTheta (log.f32 (exp.f32 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))
(fma.f32 #s(literal -1 binary32) cosTheta (-.f32 #s(literal 1 binary32) cosTheta))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 cosTheta #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 cosTheta))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 cosTheta #s(literal 1 binary32))) (neg.f32 cosTheta))
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(-.f32 #s(literal 1 binary32) (-.f32 cosTheta (neg.f32 cosTheta)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))) (/.f32 (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32))) (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))))
(-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))
(-.f32 (+.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 0 binary32)) cosTheta)
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (*.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))))
(/.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))
(/.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))
(/.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))))) (neg.f32 (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))))))
(/.f32 (neg.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) (neg.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 (neg.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))) (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 8 binary32) (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) (fma.f32 (+.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta) (*.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))))) (neg.f32 (neg.f32 (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))))) (neg.f32 (neg.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 8 binary32) (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32)))))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (+.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta) (*.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta)))) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))))
(.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (.f32 cosTheta (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))))
(.f32 (.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))

simplify570.0ms (3.9%)

Memory

8.4MiB live, 1 089.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 236×	`accelerator-lowering-fma.f32`
7 236×	`accelerator-lowering-fma.f64`
5 186×	`-lowering-.f32`
5 186×	`-lowering-.f64`
5 114×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1116	12385
1	3812	11371
0	8129	10868

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

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

Outputs
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* -1 (pow cosTheta 2))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(* 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 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (neg.f32 (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(* 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 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (fma.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))) (fma.f32 (PI.f32) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))) (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))))))) (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (neg.f32 (.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c))))
(- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))))
(+.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 cosTheta (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32)))))) (neg.f32 (pow.f32 cosTheta #s(literal 4 binary32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)))))
(- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (neg (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (neg (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (neg (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 2))))))))
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 cosTheta (PI.f32)))) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 cosTheta (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32)))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)))) (.f32 #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 (pow.f32 cosTheta #s(literal 5 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (PI.f32) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 4 binary32))) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))))))) (pow.f32 cosTheta #s(literal 6 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 (.f32 (PI.f32) #s(literal -2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 3 binary32))))) (fma.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))) (.f32 (sqrt.f32 #s(literal -2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)))) (.f32 (pow.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.f32 #s(literal 1 binary32) c)) #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))))))))
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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)
(/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (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)
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(+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))
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c
(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))
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(* c (+ 1 (+ (* (/ (exp (neg (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))
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c
(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (neg (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
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(/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32))) (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)
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(* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))
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(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt (/ 1 (PI)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (sqrt (/ 1 (PI))) (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))))
(fma.f32 cosTheta c (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(+ (sqrt (/ 1 (PI))) (* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI))))))
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(* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI)))))
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(* cosTheta (- (+ 1 (+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (sqrt (/ 1 (PI)))))
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(* cosTheta (- (+ 1 (+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (sqrt (/ 1 (PI)))))
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(* cosTheta (- (+ 1 (+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (sqrt (/ 1 (PI)))))
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(* cosTheta (- (+ 1 c) (sqrt (/ 1 (PI)))))
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(* -1 (* cosTheta (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (- (+ 1 c) (sqrt (/ 1 (PI))))))))
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(+ (sqrt (/ 1 (PI))) (+ (* c cosTheta) (* cosTheta (- 1 (sqrt (/ 1 (PI)))))))
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(* c cosTheta)
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(* c (+ cosTheta (+ (* (/ 1 c) (sqrt (/ 1 (PI)))) (/ (* cosTheta (- 1 (sqrt (/ 1 (PI))))) c))))
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(* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (- 1 (sqrt (/ 1 (PI)))))) c)))))
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(/ cosTheta (+ (sqrt (/ 1 (PI))) (* cosTheta (- 1 (sqrt (/ 1 (PI)))))))
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(/ 1 c)
(/.f32 #s(literal 1 binary32) c)
(/ (- (+ 1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c))) c)
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(/ 1 c)
(/.f32 #s(literal 1 binary32) c)
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(* -1 (/ (- (* -1 (/ (- (+ (sqrt (/ 1 (PI))) (* -1 (/ (* (+ (sqrt (/ 1 (PI))) (* cosTheta (- 1 (sqrt (/ 1 (PI)))))) (- (sqrt (/ 1 (PI))) (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) (* c cosTheta)))) (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1) c))
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(/.f32 (+.f32 (/.f32 (-.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 (.f32 (+.f32 cosTheta (.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (+.f32 cosTheta (.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (neg.f32 (/.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (.f32 (.f32 cosTheta cosTheta) c))) (/.f32 (.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) cosTheta)) c)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
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(/.f32 (fma.f32 cosTheta c (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) cosTheta)
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(- (+ 1 (+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) (sqrt (/ 1 (PI))))
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(- (+ 1 c) (sqrt (/ 1 (PI))))
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (- 1 (sqrt (/ 1 (PI)))))) cosTheta)
(/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
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(+ c (+ (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))) (- 1 (sqrt (/ 1 (PI))))))
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c
(* c (- (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c))) (* (/ 1 c) (sqrt (/ 1 (PI))))))
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(* c (- (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (/ 1 c))) (* (/ 1 c) (sqrt (/ 1 (PI))))))
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c
(* -1 (* c (- (* -1 (/ (- (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI)))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (- (+ 1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (sqrt (/ 1 (PI)))) c)) 1)))
(neg.f32 (*.f32 c (+.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) (neg.f32 c)) #s(literal -1 binary32))))
(- 1 (sqrt (/ 1 (PI))))
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(- (+ 1 c) (sqrt (/ 1 (PI))))
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(- (+ 1 c) (sqrt (/ 1 (PI))))
(-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
c
(* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI))))))
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))))
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(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
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(/ (+ (sqrt (/ 1 (PI))) (* -1 (* c (* cosTheta (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))))) cosTheta)
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(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))))) cosTheta)
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(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta)) (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta)) (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))))))
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(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta))))
(.f32 (neg.f32 cosTheta) (fma.f32 c (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)) cosTheta) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32))))
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(neg.f32 (*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (/.f32 (fma.f32 c (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (neg.f32 cosTheta)))))
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(neg.f32 (*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (/.f32 (fma.f32 c (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (neg.f32 cosTheta)))))
(+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
(+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
(+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
(+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))
c
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) c)
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) c)
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) c)
c
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
(neg.f32 (*.f32 c (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c)) #s(literal -1 binary32))))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
(neg.f32 (*.f32 c (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c)) #s(literal -1 binary32))))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
(neg.f32 (*.f32 c (+.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c)) #s(literal -1 binary32))))
(* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))))
(neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))
(/ (+ (* -1 (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))) cosTheta)
(/.f32 (neg.f32 (fma.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta)
(/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 #s(literal 3/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c)) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 c))) cosTheta)
(/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 #s(literal 3/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c)) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 c))) cosTheta)
(* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))
(.f32 #s(literal 3/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c)))
(* cosTheta (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))
(*.f32 cosTheta (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal 3/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) cosTheta)))
(* cosTheta (+ (* -1 (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))
(.f32 cosTheta (-.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal 3/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (*.f32 cosTheta cosTheta) c))))
(* cosTheta (+ (* -1 (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))
(.f32 cosTheta (-.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal 3/2 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) cosTheta)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (*.f32 cosTheta cosTheta) c))))
(* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))
(.f32 #s(literal 3/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 cosTheta c)))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (/ 1 (* c cosTheta))))))
(neg.f32 (.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) c) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) cosTheta)))))
(neg.f32 (.f32 cosTheta (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) cosTheta)))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) cosTheta)))))
(neg.f32 (.f32 cosTheta (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal -3/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) cosTheta)))))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* c (* cosTheta (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))
(.f32 cosTheta (fma.f32 c (.f32 (*.f32 cosTheta (PI.f32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32))) (sqrt.f32 (PI.f32))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
(.f32 cosTheta (fma.f32 cosTheta (fma.f32 (neg.f32 cosTheta) (fma.f32 (.f32 (.f32 c (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32))) (.f32 c (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))) (.f32 (*.f32 c (PI.f32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)))) (sqrt.f32 (PI.f32))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))) (* (* c (* (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (PI.f32)) (.f32 c (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 c (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32))) (.f32 c (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))))) (.f32 #s(literal -3/2 binary32) (.f32 (.f32 c (PI.f32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32))))) (fma.f32 (.f32 (.f32 c (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32))) (.f32 c (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) #s(literal -3/2 binary32))))) (.f32 (.f32 c (PI.f32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32)))) (sqrt.f32 (PI.f32))))
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/ (+ (* -2/3 (sqrt (PI))) (* 4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
(/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32) (/.f32 (.f32 (.f32 (*.f32 c (PI.f32)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 c)) #s(literal -1 binary32))) #s(literal 4/9 binary32)) cosTheta)) cosTheta)
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (* 2/3 (* (/ (* c (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))))) cosTheta)) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
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(/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
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(/ 1 c)
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(/ (+ 1 (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))) c)
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(/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2) (pow c 2)))) c)
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(/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) (+ (* -1 (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3) (pow c 3))) (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2) (pow c 2))))) c)
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(/ 1 c)
(/.f32 #s(literal 1 binary32) c)
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(* cosTheta (sqrt (PI)))
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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
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(sqrt (/ 1 (PI)))
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(* (sqrt (/ cosTheta (PI))) (sqrt -2))
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(* 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 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32)))))))
(* 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 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))))))
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))
(.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (neg.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (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 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.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 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.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 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))
(sqrt (/ 1 (PI)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))
(*.f32 (+.f32 (neg.f32 cosTheta) #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 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1 binary32))) (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 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -1/2 binary32) cosTheta #s(literal -1/2 binary32))))))
(* (sqrt (/ cosTheta (PI))) (sqrt -2))
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32))))
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
(.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))))
(* 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 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32)))))))
(* 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 cosTheta (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal -2 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 7 binary32))))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (sqrt.f32 #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (*.f32 cosTheta cosTheta))))) (sqrt.f32 #s(literal -2 binary32))))))))
(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))
(.f32 (sqrt.f32 (/.f32 cosTheta (PI.f32))) (neg.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (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 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.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 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.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 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 cosTheta #s(literal 5 binary32))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 cosTheta (*.f32 cosTheta cosTheta)))))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))))))))
(/ 1 (PI))
(/.f32 #s(literal 1 binary32) (PI.f32))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(* -2 (/ cosTheta (PI)))
(*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))
(* -2 (/ cosTheta (PI)))
(*.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (PI.f32)))))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (PI.f32)))))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (PI.f32)))))
(+ 1 (* -1 (sqrt (/ 1 (PI)))))
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (.f32 cosTheta #s(literal -3/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(.f32 (neg.f32 cosTheta) (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(.f32 (neg.f32 cosTheta) (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(.f32 (neg.f32 cosTheta) (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (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)
(* (/ 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)
(* (/ 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
#s(literal 1 binary32)
(+ 1 (* -2 cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* -2 cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* -2 cosTheta))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(* -2 cosTheta)
(*.f32 cosTheta #s(literal -2 binary32))
(* cosTheta (- (/ 1 cosTheta) 2))
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)))
(* cosTheta (- (/ 1 cosTheta) 2))
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)))
(* cosTheta (- (/ 1 cosTheta) 2))
(*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -2 binary32)))
(* -2 cosTheta)
(*.f32 cosTheta #s(literal -2 binary32))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) cosTheta))))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) cosTheta))))
(* -1 (* cosTheta (- 2 (/ 1 cosTheta))))
(-.f32 #s(literal 0 binary32) (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) cosTheta))))

eval217.0ms (1.5%)

Memory: -0.1MiB live, 595.1MiB allocated
Compiler: Compiled 58 333 to 7 099 computations (87.8% saved)

prune256.0ms (1.8%)

Memory

11.8MiB live, 650.2MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1 712	17	1 729
Fresh	8	19	27
Picked	3	2	5
Done	0	1	1
Total	1 723	39	1 762

Accuracy

100.0%

Counts

1 762 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.0%	(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) cosTheta))
	58.2%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))) (neg.f32 c))
	58.2%	(/.f32 (/.f32 #s(literal -1 binary32) c) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c)))
	95.8%	(/.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
	96.0%	(/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
	94.6%	(/.f32 cosTheta (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
▶	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
✓	98.2%	(/.f32 #s(literal 1 binary32) (fma.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)))
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
	95.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))
	94.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	60.0%	(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)))
	96.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))
	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	96.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	94.7%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))
	96.0%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) cosTheta))
	91.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
▶	91.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))
	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))))) cosTheta)))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
	91.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	95.7%	(/.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))))
	54.0%	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
	58.6%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
▶	58.5%	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
▶	58.1%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32)) (neg.f32 c)))
▶	53.9%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c)))
✓	5.2%	(/.f32 #s(literal 1 binary32) c)
	57.7%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (neg.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))) (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 cosTheta (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) c)))
	58.1%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))) (/.f32 #s(literal -1 binary32) c))
	95.3%	(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
	96.0%	(.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (PI.f32) (.f32 cosTheta (fma.f32 cosTheta (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)))))))
	96.1%	(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
	91.9%	(.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))))
✓	91.9%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
	90.4%	(exp.f32 (neg.f32 (log1p.f32 (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta))))

Compiler

Compiled 1 772 to 1 104 computations (37.7% saved)

simplify328.0ms (2.3%)

Memory

33.6MiB live, 462.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
✓	cost-diff	64	(/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c))
✓	cost-diff	192	(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))
✓	cost-diff	576	(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32)) (neg.f32 c)))
✓	cost-diff	96	(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))
✓	cost-diff	160	(*.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) c))
✓	cost-diff	576	(.f32 (+.f32 (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32)) (neg.f32 c))
✓	cost-diff	0	(neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c)))
✓	cost-diff	64	(+.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))) #s(literal -1 binary32))
✓	cost-diff	416	(.f32 (+.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c))
✓	cost-diff	0	(sqrt.f32 (PI.f32))
✓	cost-diff	0	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
✓	cost-diff	0	(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
✓	cost-diff	0	(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
✓	cost-diff	0	(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c)))

Rules

9 188×	`accelerator-lowering-fma.f32`
9 188×	`accelerator-lowering-fma.f64`
2 650×	`-lowering-.f32`
2 650×	`-lowering-.f64`
2 380×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	493
1	135	477
2	367	470
3	987	450
4	3478	436
5	7949	436
0	8297	410

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c)))
1
(+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c))
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta)
(sqrt (/ (+ (* cosTheta -2) 1) (PI)))
(/ (+ (* cosTheta -2) 1) (PI))
(+ (* cosTheta -2) 1)
cosTheta
-2
(PI)
(exp (* (neg cosTheta) cosTheta))
(* (neg cosTheta) cosTheta)
(neg cosTheta)
(+ 1 c)
c
(/ 1 (/ 1 (* cosTheta (sqrt (PI)))))
1
(/ 1 (* cosTheta (sqrt (PI))))
(* cosTheta (sqrt (PI)))
cosTheta
(sqrt (PI))
(PI)
(/ 1 (* (+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1) (neg c)))
1
(* (+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1) (neg c))
(+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1)
(neg (/ (sqrt (/ 1 (PI))) (* cosTheta c)))
(/ (sqrt (/ 1 (PI))) (* cosTheta c))
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(PI)
(* cosTheta c)
cosTheta
c
-1
(neg c)
(/ 1 (* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c)))
1
(* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c))
(+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1)
(* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c))
(+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1)
(/ 1 (sqrt (PI)))
(sqrt (PI))
(PI)
(+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))
(/ 1 cosTheta)
cosTheta
(+ (* cosTheta -3/2) -1)
-3/2
-1
(/ -1 c)
c
(neg c)
(/ 1 (* (+ (/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))
1
(* (+ (/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c))
(+ (/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1)
(/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c))
(+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1))
(/ (/ 1 cosTheta) (sqrt (PI)))
(/ 1 cosTheta)
cosTheta
(sqrt (PI))
(PI)
(+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)
(sqrt (/ 1 (PI)))
(/ 1 (PI))
(+ (* cosTheta -3/2) -1)
-3/2
-1
(neg c)
c

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

localize183.0ms (1.3%)

Memory

-31.6MiB live, 372.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.5%	(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))
✓	accuracy	96.9%	(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
✓	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	61.0%	(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32)) (neg.f32 c)))
✓	accuracy	97.8%	(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))
✓	accuracy	96.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
✓	accuracy	61.0%	(.f32 (+.f32 (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32)) (neg.f32 c))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c)))
✓	accuracy	98.9%	(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
✓	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	61.0%	(.f32 (+.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
✓	accuracy	98.8%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓	accuracy	99.7%	(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
✓	accuracy	98.2%	(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
✓	accuracy	97.6%	(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))

Samples

95.0ms

256×

valid

Compiler

Compiled 466 to 54 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 29.0ms (40.2% of total)

ival-mult: 17.0ms (23.6% of total)

ival-add: 13.0ms (18% of total)

ival-sqrt: 6.0ms (8.3% of total)

ival-neg: 3.0ms (4.2% of total)

ival-exp: 2.0ms (2.8% of total)

ival-pi: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series48.0ms (0.3%)

Memory

33.0MiB live, 69.9MiB allocated

Counts

26 → 420

Calls

Call 1

Inputs
#<alt (/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c)))>
#<alt (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c))>
#<alt (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta)>
#<alt (sqrt (/ (+ (* cosTheta -2) 1) (PI)))>
#<alt (/ 1 (/ 1 (* cosTheta (sqrt (PI)))))>
#<alt (/ 1 (* cosTheta (sqrt (PI))))>
#<alt (* cosTheta (sqrt (PI)))>
#<alt (sqrt (PI))>
#<alt (* (+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1) (neg c))>
#<alt (+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1)>
#<alt (/ 1 (* (+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1) (neg c)))>
#<alt (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c)))>
#<alt (* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c))>
#<alt (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c))>
#<alt (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1)>
#<alt (/ 1 (* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c)))>
#<alt (* (+ (/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c))>
#<alt (/ (/ 1 cosTheta) (sqrt (PI)))>
#<alt (/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c))>
#<alt (/ 1 (* (+ (/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))>
#<alt (/ (+ (* cosTheta -2) 1) (PI))>
#<alt (PI)>
#<alt (sqrt (/ 1 (PI)))>
#<alt (/ (sqrt (/ 1 (PI))) (* cosTheta c))>
#<alt (/ 1 (sqrt (PI)))>
#<alt (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)>

Outputs
#<alt (* cosTheta (sqrt (PI)))>
#<alt (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))>
#<alt (* 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)))))))))))>
#<alt (* 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)))))))))))>
#<alt (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))>
#<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)))))))>
#<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))))))>
#<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))))))))>
#<alt (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))>
#<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)))))))))>
#<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))))))>
#<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)))))))))>
#<alt (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))))>
#<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)))))))>
#<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)))))))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (* 2/3 (* (/ (* c (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))))) cosTheta)) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))>
#<alt (/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))>
#<alt (+ (* -1 (/ c (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2))) (/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))>
#<alt (+ (* c (- (/ c (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3)) (/ 1 (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))>
#<alt (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 4))) (/ 1 (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))>
#<alt (/ 1 c)>
#<alt (/ (+ 1 (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))) c)>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2) (pow c 2)))) c)>
#<alt (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) (+ (* -1 (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3) (pow c 3))) (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2) (pow c 2))))) c)>
#<alt (/ 1 c)>
#<alt (* -1 (/ (- (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))) 1) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2) c) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3) c) (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2)) c)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c))>
#<alt (/ 1 (PI))>
#<alt (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))>
#<alt (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))>
#<alt (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))>
#<alt (* -2 (/ cosTheta (PI)))>
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))>
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))>
#<alt (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))>
#<alt (* -2 (/ cosTheta (PI)))>
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))>
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))>
#<alt (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))>
#<alt (+ 1 (* -1 (sqrt (/ 1 (PI)))))>
#<alt (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))>
#<alt (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))>
#<alt (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))>
#<alt (* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))>
#<alt (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))>
#<alt (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))>
#<alt (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))>
#<alt (* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))>
#<alt (* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))>
#<alt (* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))>

Calls

105 calls:

Time	Variable		Point	Expression
13.0ms	cosTheta	@	inf	(* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c))
6.0ms	c	@	inf	(/ 1 (* (+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1) (neg c)))
2.0ms	c	@	inf	(neg (/ (sqrt (/ 1 (PI))) (* cosTheta c)))
1.0ms	c	@	0	(* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c))
1.0ms	c	@	inf	(* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c))

rewrite427.0ms (2.9%)

Memory

12.4MiB live, 715.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 034×	`/-lowering-/.f32`
4 034×	`/-lowering-/.f64`
3 714×	`-lowering-.f32`
3 714×	`-lowering-.f64`
2 828×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	322
1	369	287
2	3485	287
0	9266	272

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1 180

Calls

Call 1

Inputs
(/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c)))
(+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (+ 1 c))
(/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta)
(sqrt (/ (+ (* cosTheta -2) 1) (PI)))
(/ 1 (/ 1 (* cosTheta (sqrt (PI)))))
(/ 1 (* cosTheta (sqrt (PI))))
(* cosTheta (sqrt (PI)))
(sqrt (PI))
(* (+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1) (neg c))
(+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1)
(/ 1 (* (+ (neg (/ (sqrt (/ 1 (PI))) (* cosTheta c))) -1) (neg c)))
(neg (/ (sqrt (/ 1 (PI))) (* cosTheta c)))
(* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c))
(* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c))
(+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1)
(/ 1 (* (+ (* (+ (* (/ 1 (sqrt (PI))) (+ (/ 1 cosTheta) (+ (* cosTheta -3/2) -1))) 1) (/ -1 c)) -1) (neg c)))
(* (+ (/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c))
(/ (/ 1 cosTheta) (sqrt (PI)))
(/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c))
(/ 1 (* (+ (/ (+ (/ (/ 1 cosTheta) (sqrt (PI))) (+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)) (neg c)) -1) (neg c)))
(/ (+ (* cosTheta -2) 1) (PI))
(PI)
(sqrt (/ 1 (PI)))
(/ (sqrt (/ 1 (PI))) (* cosTheta c))
(/ 1 (sqrt (PI)))
(+ (* (sqrt (/ 1 (PI))) (+ (* cosTheta -3/2) -1)) 1)

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

simplify554.0ms (3.8%)

Memory

-24.7MiB live, 980.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 038×	`accelerator-lowering-fma.f32`
10 038×	`accelerator-lowering-fma.f64`
7 860×	`-lowering-.f32`
7 860×	`-lowering-.f64`
4 690×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	900	10753
1	2843	9848
0	8791	9415

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

Inputs
(* 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 (+ 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 (+ 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 (+ 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 (* -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)
(/ 1 c)
(* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))))) c)) 1) c))
(* (/ 1 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 (+ 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 (+ 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 (* (/ (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))))))
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
(* -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 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 (* 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 (* (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)))))))
(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))))))))))
(* (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 (/ 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)))))))
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c
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c
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c
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(/ (- (+ 1 (/ 1 (* (pow c 2) (* (pow cosTheta 2) (PI))))) (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) c)
(/ (- (+ 1 (+ (* -1 (* (/ 1 (* (pow c 3) (pow cosTheta 3))) (sqrt (/ 1 (pow (PI) 3))))) (/ 1 (* (pow c 2) (* (pow cosTheta 2) (PI)))))) (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) c)
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(* -1 (/ (- (* -1 (/ (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (* -1 (/ (- (* (/ 1 (* c (pow cosTheta 3))) (sqrt (/ 1 (pow (PI) 3)))) (/ 1 (* (pow cosTheta 2) (PI)))) c))) c)) 1) c))
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(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta))))
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(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
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c
(* c (+ 1 (+ (* (/ (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))))
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c
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(/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))))) cosTheta)
(* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))
(* cosTheta (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))
(* cosTheta (+ (* -1 (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))
(* cosTheta (+ (* -1 (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))
(* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (/ 1 (* c cosTheta))))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) cosTheta)))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) cosTheta)))))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* c (* cosTheta (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))) (* (* c (* (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(/ (+ (* -2/3 (sqrt (PI))) (* 4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
(/ (- (+ (* -1 (/ (+ (* -2/3 (* (* c (* (+ (* 8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))) (* 4/9 (sqrt (PI)))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (sqrt (PI)))) (* -8/27 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (+ (* 8/27 (* (/ (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI))))))) cosTheta)
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(* -1 (/ (+ (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (* 2/3 (* (/ (* c (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))))) cosTheta)) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
(/ 1 (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))))
(+ (* -1 (/ c (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))))
(+ (* c (- (/ c (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 3)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2)))) (/ 1 (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))))
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 3)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2)))) (/ 1 (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))))
(/ 1 c)
(/ (+ 1 (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))) c)
(/ (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c)) (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2) (pow c 2)))) c)
(/ (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c)) (+ (* -1 (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 3) (pow c 3))) (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2) (pow c 2))))) c)
(/ 1 c)
(* -1 (/ (- (+ (* (/ (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2) c) (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 3) c) (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2)) c)) (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))) c)) 1) c))
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* c (* cosTheta (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))))) cosTheta)
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta)) (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta)) (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))))))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta))))
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
c
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
c
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
(* (/ 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))))
(* (/ 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))))
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))))
(/ (+ (* -1 (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))) cosTheta)
(/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))))) cosTheta)
(/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))))) cosTheta)
(* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))
(* cosTheta (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))
(* cosTheta (+ (* -1 (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))
(* cosTheta (+ (* -1 (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))
(* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (/ 1 (* c cosTheta))))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) cosTheta)))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) cosTheta)))))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* c (* cosTheta (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))) (* (* c (* (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(/ (+ (* -2/3 (sqrt (PI))) (* 4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
(/ (- (+ (* -1 (/ (+ (* -2/3 (* (* c (* (+ (* 8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))) (* 4/9 (sqrt (PI)))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (sqrt (PI)))) (* -8/27 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (+ (* 8/27 (* (/ (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI))))))) cosTheta)
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(* -1 (/ (+ (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (* 2/3 (* (/ (* c (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))))) cosTheta)) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
(/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
(+ (* -1 (/ c (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2))) (/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))
(+ (* c (- (/ c (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3)) (/ 1 (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))
(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 4))) (/ 1 (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3)))) (/ 1 (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2)))) (/ 1 (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))
(/ 1 c)
(/ (+ 1 (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))) c)
(/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2) (pow c 2)))) c)
(/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) (+ (* -1 (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3) (pow c 3))) (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2) (pow c 2))))) c)
(/ 1 c)
(* -1 (/ (- (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c))) 1) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2) c) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3) c) (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2)) c)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c))
(/ 1 (PI))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(* -2 (/ cosTheta (PI)))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(* -2 (/ cosTheta (PI)))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(+ 1 (* -1 (sqrt (/ 1 (PI)))))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))

Outputs
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(* 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 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 cosTheta (fma.f32 (.f32 (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -3/2 binary32) (PI.f32)))) (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(* 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 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (neg.f32 (fma.f32 cosTheta (fma.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (fma.f32 (.f32 (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -3/2 binary32) (PI.f32))))) (neg.f32 (sqrt.f32 (PI.f32))) (fma.f32 (.f32 (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (fma.f32 (.f32 (neg.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -3/2 binary32) (PI.f32)))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 #s(literal -2 binary32))) (+.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)))))))
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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
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(sqrt (/ 1 (PI)))
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(* (sqrt (/ cosTheta (PI))) (sqrt -2))
(*.f32 (sqrt.f32 #s(literal -2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32))))
(* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
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(* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))
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(* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))
(neg.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (/.f32 cosTheta (PI.f32))))))
(* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))
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(* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))
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(/ (+ (sqrt (/ 1 (PI))) (* c cosTheta)) cosTheta)
(/.f32 (fma.f32 cosTheta c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* c cosTheta)) cosTheta)
(/.f32 (fma.f32 cosTheta c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
c
(+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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(+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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(+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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c
(+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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(+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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(+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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(+ c (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))
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c
(* c (+ 1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))))
(fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) c)
(* c (+ 1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))))
(fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) c)
(* c (+ 1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))))
(fma.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) c)
c
(* -1 (* c (- (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) 1)))
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(* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))))
(neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))
(/ (- (* -1 cosTheta) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta)
(/.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta)
(/ (- (* -1 cosTheta) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta)
(/.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta)
(/ (- (* -1 cosTheta) (* (/ 1 c) (sqrt (/ 1 (PI))))) cosTheta)
(/.f32 (-.f32 (neg.f32 cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) cosTheta)
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#s(literal -1 binary32)
(- (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) 1)
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta c)) #s(literal -1 binary32))
(- (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) 1)
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 cosTheta c)) #s(literal -1 binary32))
(- (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) 1)
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#s(literal -1 binary32)
(- (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) 1)
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#s(literal -1 binary32)
(- (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) 1)
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(* cosTheta (sqrt (PI)))
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(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))
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(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (* -1 (sqrt (/ 1 (PI))))))) cosTheta)
(/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta #s(literal -3/2 binary32)))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
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(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))))
(.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta cosTheta)))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (+ (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))) (/ 1 cosTheta)))))
(.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta cosTheta)))))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta #s(literal -3/2 binary32)))
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(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* c (* cosTheta (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))
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(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
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(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))) (* (* c (* (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
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(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/ (+ (* -2/3 (sqrt (PI))) (* 4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
(/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32) (/.f32 (.f32 (.f32 #s(literal 4/9 binary32) (*.f32 (PI.f32) c)) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32))) cosTheta)) cosTheta)
(/ (- (+ (* -1 (/ (+ (* 8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
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(/ (- (+ (* -1 (/ (+ (* -2/3 (* (* c (* (+ (* 8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))) (* 4/9 (sqrt (PI)))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (sqrt (PI)))) (* -8/27 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) (pow cosTheta 3))) (* -2/3 (sqrt (PI)))) (+ (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (+ (* 8/27 (* (/ (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (pow cosTheta 2)) (sqrt (pow (PI) 3)))) (* 4/9 (* (/ 1 (pow cosTheta 2)) (sqrt (PI))))))) cosTheta)
(/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal -2/3 binary32) (-.f32 (/.f32 (fma.f32 #s(literal -2/3 binary32) (.f32 (.f32 c (fma.f32 (.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (.f32 c c))) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 8/27 binary32)) (.f32 (sqrt.f32 (PI.f32)) #s(literal 4/9 binary32)))) (.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (.f32 (.f32 #s(literal -8/27 binary32) (.f32 (PI.f32) c)) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta)) cosTheta)) (fma.f32 (/.f32 (.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (.f32 c c))) (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) #s(literal 8/27 binary32)) (fma.f32 #s(literal 4/9 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta cosTheta)) (/.f32 (.f32 (.f32 #s(literal -4/9 binary32) (.f32 (PI.f32) c)) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32))) cosTheta))))) cosTheta)
(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(* -1 (/ (+ (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
(/.f32 (fma.f32 (sqrt.f32 (PI.f32)) #s(literal 2/3 binary32) (/.f32 (.f32 (.f32 #s(literal -4/9 binary32) (*.f32 (PI.f32) c)) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32))) cosTheta)) (neg.f32 cosTheta))
(* -1 (/ (+ (* -1 (/ (- (+ (* -4/9 (* (/ 1 cosTheta) (sqrt (PI)))) (* -8/27 (* (/ (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) cosTheta) (sqrt (pow (PI) 3))))) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -8/27 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta)) (* 2/3 (* (/ (* c (* (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta) (sqrt (PI))))) (+ (* -4/9 (sqrt (PI))) (* -8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))))) cosTheta)) (* -4/9 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)) (* 2/3 (sqrt (PI)))) cosTheta))
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(/ 1 (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))))
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(+ (* -1 (/ c (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2))) (/ 1 (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))))
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(+ (* c (- (/ c (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 3)) (/ 1 (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2)))) (/ 1 (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))))
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(+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 4))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 3)))) (/ 1 (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2)))) (/ 1 (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))))
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(/ 1 c)
(/.f32 #s(literal 1 binary32) c)
(/ (+ 1 (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c))) c)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c)) c)
(/ (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c)) (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2) (pow c 2)))) c)
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(/ (+ 1 (+ (* -1 (/ (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) c)) (+ (* -1 (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 3) (pow c 3))) (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2) (pow c 2))))) c)
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(/ 1 c)
(/.f32 #s(literal 1 binary32) c)
(* -1 (/ (- (+ (* (/ (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)) 1) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) c) (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32))) (neg.f32 c))
(* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2) c) (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))) c)) 1) c))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))) c) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 3) c) (pow (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1))) 2)) c)) (+ 1 (* (sqrt (/ 1 (PI))) (- (+ (* -3/2 cosTheta) (/ 1 cosTheta)) 1)))) c)) 1) c))
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* -1 (* c (* cosTheta (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))) cosTheta)
(/.f32 (fma.f32 (neg.f32 (*.f32 cosTheta c)) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 (neg.f32 c) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))))) cosTheta)
(/.f32 (fma.f32 cosTheta (fma.f32 (neg.f32 c) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta #s(literal -3/2 binary32)))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta))))
(.f32 cosTheta (fma.f32 (neg.f32 c) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) cosTheta) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta)) (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))))))
(.f32 cosTheta (fma.f32 (neg.f32 c) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta cosTheta)))))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta)) (* (/ 1 (pow cosTheta 2)) (sqrt (/ 1 (PI)))))))
(.f32 cosTheta (fma.f32 (neg.f32 c) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta cosTheta)))))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta #s(literal -3/2 binary32)))
(* -1 (* cosTheta (+ (* 3/2 (sqrt (/ 1 (PI)))) (/ (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)) cosTheta))))
(neg.f32 (.f32 cosTheta (fma.f32 c (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) cosTheta) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)))))
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(neg.f32 (*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (neg.f32 (/.f32 (fma.f32 (neg.f32 c) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) cosTheta)))))
(* -1 (* cosTheta (+ (* -1 (/ (+ (* -1 (* c (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(neg.f32 (*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (neg.f32 (/.f32 (fma.f32 (neg.f32 c) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) cosTheta)))))
(+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (+.f32 c #s(literal 1 binary32)))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) (+.f32 c #s(literal 1 binary32)))
(+ 1 (+ c (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
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c
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) c)
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
(fma.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c)) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c)) (/.f32 #s(literal 1 binary32) c)) c)
(* c (+ 1 (+ (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))) (+ (* (/ (- (* -3/2 cosTheta) 1) c) (sqrt (/ 1 (PI)))) (/ 1 c)))))
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c
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
(*.f32 (neg.f32 c) (+.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c)) #s(literal -1 binary32)))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
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(* -1 (* c (- (* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c)) 1)))
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)
(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
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(* (/ 1 cosTheta) (sqrt (/ 1 (PI))))
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(* (/ 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))))
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(* (/ 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 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI)))))
(neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)))
(/ (+ (* -1 (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))) cosTheta)
(/.f32 (neg.f32 (fma.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) cosTheta)
(/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (/.f32 cosTheta c) #s(literal 3/2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 c))) cosTheta)
(/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* cosTheta (+ (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) (* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))))) cosTheta)
(/.f32 (fma.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (/.f32 cosTheta c) #s(literal 3/2 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 c))) cosTheta)
(* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (/.f32 cosTheta c) #s(literal 3/2 binary32)))
(* cosTheta (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))
(*.f32 cosTheta (fma.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c) #s(literal 3/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) (neg.f32 cosTheta))))
(* cosTheta (+ (* -1 (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))
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(* cosTheta (+ (* -1 (* (/ 1 (* c (pow cosTheta 2))) (sqrt (/ 1 (PI))))) (+ (* -1 (/ (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)) cosTheta)) (* 3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))
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(* 3/2 (* (/ cosTheta c) (sqrt (/ 1 (PI)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (/.f32 cosTheta c) #s(literal 3/2 binary32)))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (/ 1 (* c cosTheta))))))
(.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal -1 binary32) (.f32 cosTheta c))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta c))))
(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) cosTheta)))))
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(* -1 (* cosTheta (+ (* -3/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (+ (* -1 (* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))) (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))) cosTheta)))))
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(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
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(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
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(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
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(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
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(* -1 (/ (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) c))
(/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (neg.f32 c))
(* cosTheta (sqrt (PI)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(* cosTheta (+ (sqrt (PI)) (* c (* cosTheta (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))
(.f32 cosTheta (fma.f32 c (.f32 (*.f32 cosTheta (PI.f32)) (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)) #s(literal -1 binary32))) (sqrt.f32 (PI.f32))))
(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
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(* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1)))) (* (* c (* (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3))))))) (* -1 (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))))))))
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(* -2/3 (* (/ 1 cosTheta) (sqrt (PI))))
(*.f32 #s(literal -2/3 binary32) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(/ (+ (* -2/3 (sqrt (PI))) (* 4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
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(/ (- (+ (* -1 (/ (+ (* 8/27 (* (* (pow c 2) (pow (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1) 2)) (sqrt (pow (PI) 3)))) (* 4/9 (sqrt (PI)))) (pow cosTheta 2))) (* -2/3 (sqrt (PI)))) (* -4/9 (/ (* c (* (PI) (- (* -1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))) 1))) cosTheta))) cosTheta)
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(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))) c) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 3) c) (pow (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))) 2)) c)) (+ 1 (+ (* (sqrt (/ 1 (PI))) (- (* -3/2 cosTheta) 1)) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1) c))
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))) c) (*.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))) (neg.f32 c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c))
(/ 1 (PI))
(/.f32 #s(literal 1 binary32) (PI.f32))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))
(fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(* -2 (/ cosTheta (PI)))
(/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))
(* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))))
(.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (/.f32 #s(literal -2 binary32) (PI.f32))))
(* -2 (/ cosTheta (PI)))
(/.f32 (*.f32 cosTheta #s(literal -2 binary32)) (PI.f32))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (PI.f32)))))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (PI.f32)))))
(* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))
(.f32 (neg.f32 cosTheta) (+.f32 (/.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 cosTheta (PI.f32)))))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(* (/ 1 (* c cosTheta)) (sqrt (/ 1 (PI))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c))
(+ 1 (* -1 (sqrt (/ 1 (PI)))))
(-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* -3/2 (* cosTheta (sqrt (/ 1 (PI))))) (* -1 (sqrt (/ 1 (PI))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta #s(literal -3/2 binary32)))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))
(* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (+ (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))) (/ 1 cosTheta))))
(*.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -3/2 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)))
(* -3/2 (* cosTheta (sqrt (/ 1 (PI)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta #s(literal -3/2 binary32)))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 cosTheta))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 cosTheta))))
(* -1 (* cosTheta (+ (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* 3/2 (sqrt (/ 1 (PI)))))))
(*.f32 (neg.f32 cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 cosTheta))))

eval310.0ms (2.1%)

Memory: 23.9MiB live, 487.5MiB allocated
Compiler: Compiled 61 712 to 7 581 computations (87.7% saved)

prune276.0ms (1.9%)

Memory

-16.3MiB live, 661.0MiB allocated

Pruning

45 alts after pruning (40 fresh and 5 done)

	Pruned	Kept	Total
New	1 953	16	1 969
Fresh	7	24	31
Picked	3	2	5
Done	0	3	3
Total	1 963	45	2 008

Accuracy

100.0%

Counts

2 008 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.4%	(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))) (neg.f32 c))
	54.1%	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal -1 binary32))) (neg.f32 c))
	58.4%	(/.f32 (/.f32 #s(literal -1 binary32) c) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c)))
	53.9%	(/.f32 (/.f32 #s(literal -1 binary32) c) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal -1 binary32)))
	91.7%	(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta))
	95.8%	(/.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
	96.0%	(/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
	94.6%	(/.f32 cosTheta (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
✓	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
✓	98.2%	(/.f32 #s(literal 1 binary32) (fma.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)))
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
	54.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) (neg.f32 c) c))
	95.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))
	94.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	60.0%	(/.f32 #s(literal 1 binary32) (fma.f32 c (fma.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta c)) #s(literal 1 binary32)) #s(literal 1 binary32)))
	96.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))
	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	96.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
	91.5%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))
	91.5%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))
	94.7%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))
	96.0%	(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) cosTheta))
	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
✓	91.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))
	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))))) cosTheta)))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
	91.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	95.7%	(/.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))))
	58.6%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
	46.5%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))) (PI.f32)) #s(literal -1 binary32)) (*.f32 (neg.f32 c) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32))) #s(literal -1 binary32)))) #s(literal -1 binary32)) (neg.f32 c)))
	54.1%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (neg.f32 c)) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)) (neg.f32 c)))
	53.7%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)) (neg.f32 c)))
	54.0%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (neg.f32 c)))
✓	5.2%	(/.f32 #s(literal 1 binary32) c)
	58.5%	(/.f32 #s(literal -1 binary32) (*.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))))
	57.7%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) cosTheta)) (exp.f32 (fma.f32 cosTheta (neg.f32 cosTheta) (neg.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))))) (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 cosTheta (exp.f32 (fma.f32 cosTheta cosTheta #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) c)))
	91.5%	(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))))
	58.3%	(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))) (/.f32 #s(literal -1 binary32) c))
	95.3%	(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
	91.9%	(.f32 cosTheta (fma.f32 (.f32 (PI.f32) (neg.f32 c)) cosTheta (sqrt.f32 (PI.f32))))
	96.1%	(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
	91.9%	(.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))))
✓	91.9%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
	90.4%	(exp.f32 (neg.f32 (log1p.f32 (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))) cosTheta))))

Compiler

Compiled 3 147 to 1 018 computations (67.7% saved)

regimes450.0ms (3.1%)

Memory

-100.8MiB live, 296.4MiB allocated

Counts

84 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

286.0ms	c
53.0ms	cosTheta
31.0ms	(/.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)))))
26.0ms	(+.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))))
25.0ms	(+.f32 #s(literal 1 binary32) c)

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 84 to 58 computations (31% saved)

regimes108.0ms (0.7%)

Memory

-1.3MiB live, 236.6MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) c)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(.f32 cosTheta (fma.f32 (.f32 (PI.f32) (neg.f32 c)) cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 cosTheta (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) (neg.f32 c) c))
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (neg.f32 c)) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))
(/.f32 (/.f32 #s(literal -1 binary32) c) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal -1 binary32))) (neg.f32 c))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(/.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal -1 binary32) (*.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(/.f32 (/.f32 #s(literal -1 binary32) c) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))) (neg.f32 c))
(/.f32 (/.f32 #s(literal -1 binary32) c) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c)))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32)) (neg.f32 c)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))) (/.f32 #s(literal -1 binary32) c))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))) (neg.f32 c))
(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))) (/.f32 #s(literal -1 binary32) c))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) cosTheta))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))) (PI.f32)) #s(literal -1 binary32)) (*.f32 (neg.f32 c) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32))) #s(literal -1 binary32)))) #s(literal -1 binary32)) (neg.f32 c)))
(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))) cosTheta)
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.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)))

Outputs

(/.f32 #s(literal 1 binary32) (fma.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)))

Calls

6 calls:

22.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
17.0ms	c
17.0ms	(+.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))))
16.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.2%	1	`c`
98.2%	1	`(+.f32 #s(literal 1 binary32) c)`
98.2%	1	`cosTheta`
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 84 to 58 computations (31% saved)

regimes119.0ms (0.8%)

Memory

11.2MiB live, 174.2MiB allocated

Counts

59 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) c)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(.f32 cosTheta (fma.f32 (.f32 (PI.f32) (neg.f32 c)) cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 cosTheta (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) (neg.f32 c) c))
(*.f32 cosTheta (fma.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)) (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (neg.f32 c)) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (*.f32 (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))
(/.f32 (/.f32 #s(literal -1 binary32) c) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal -1 binary32))) (neg.f32 c))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta c))) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta c)) (sqrt.f32 (PI.f32)))) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(/.f32 cosTheta (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
(/.f32 #s(literal -1 binary32) (*.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(/.f32 (/.f32 #s(literal -1 binary32) c) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))) (neg.f32 c))
(/.f32 (/.f32 #s(literal -1 binary32) c) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c)))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32)) (neg.f32 c)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c))) (/.f32 #s(literal -1 binary32) c))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))) (neg.f32 c))
(/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)) c))) (/.f32 #s(literal -1 binary32) c))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 cosTheta cosTheta) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))))) cosTheta)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 c)) #s(literal -1 binary32)) (neg.f32 c)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 c (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) cosTheta))
(/.f32 #s(literal 1 binary32) (fma.f32 c (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta c)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) c) (/.f32 #s(literal 1 binary32) c))) c))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal 1/2 binary32) #s(literal -3/2 binary32))) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
(.f32 cosTheta (sqrt.f32 (.f32 (PI.f32) (log.f32 (E.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal -3/2 binary32)) (/.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 cosTheta)) (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta))) cosTheta))
(/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 (+.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))) (PI.f32)) #s(literal -1 binary32)) (*.f32 (neg.f32 c) (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (fma.f32 cosTheta #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32))) #s(literal -1 binary32)))) #s(literal -1 binary32)) (neg.f32 c)))
(.f32 cosTheta (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 (PI.f32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3/2 binary32)) (.f32 (sqrt.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32)))) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) c))) (neg.f32 (fma.f32 (PI.f32) (-.f32 c (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (fma.f32 cosTheta (fma.f32 cosTheta (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (+.f32 c (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)))) (sqrt.f32 (PI.f32))) cosTheta)
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))

Outputs

(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32)))

Calls

6 calls:

32.0ms	c
22.0ms	(.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	(+.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))))
15.0ms	(/.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)))))
15.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.4%	1	`cosTheta`
97.4%	1	`c`
97.4%	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)))))`
97.4%	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))))`
97.4%	1	`(+.f32 #s(literal 1 binary32) c)`
97.4%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes120.0ms (0.8%)

Memory

-8.8MiB live, 147.0MiB allocated

Counts

58 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

33.0ms	(+.f32 #s(literal 1 binary32) c)
20.0ms	c
17.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
17.0ms	cosTheta
15.0ms	(/.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
96.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
96.6%	1	`c`
96.6%	1	`cosTheta`
96.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.6%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes91.0ms (0.6%)

Memory

25.3MiB live, 181.9MiB allocated

Counts

52 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

18.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
14.0ms	cosTheta
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))))
14.0ms	c
14.0ms	(/.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
96.6%	1	`cosTheta`
96.6%	1	`c`
96.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.6%	1	`(+.f32 #s(literal 1 binary32) c)`
96.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes87.0ms (0.6%)

Memory

-40.3MiB live, 166.4MiB allocated

Counts

47 → 1

Calls

Call 1

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

Outputs

(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) cosTheta))

Calls

6 calls:

15.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
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))))
14.0ms	c
13.0ms	(/.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)))))
12.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.2%	1	`cosTheta`
96.2%	1	`c`
96.2%	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)))))`
96.2%	1	`(+.f32 #s(literal 1 binary32) c)`
96.2%	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))))`
96.2%	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 84 to 58 computations (31% saved)

regimes119.0ms (0.8%)

Memory

27.0MiB live, 143.3MiB allocated

Counts

46 → 1

Calls

Call 1

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

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))

Calls

6 calls:

37.0ms	(+.f32 #s(literal 1 binary32) c)
28.0ms	(/.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)))))
13.0ms	cosTheta
13.0ms	c
13.0ms	(.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
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 84 to 58 computations (31% saved)

regimes58.0ms (0.4%)

Memory

8.6MiB live, 126.3MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

(/.f32 cosTheta (fma.f32 cosTheta (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))

Calls

6 calls:

11.0ms	(.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)))
10.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
10.0ms	c
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)))))
8.0ms	cosTheta

Results

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

Compiler

Compiled 84 to 58 computations (31% saved)

regimes53.0ms (0.4%)

Memory

-1.5MiB live, 116.2MiB allocated

Counts

26 → 1

Calls

Call 1

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

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32))))

Calls

6 calls:

11.0ms	cosTheta
10.0ms	(/.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 #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	c
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)))

Results

Accuracy	Segments	Branch
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)))`
95.7%	1	`cosTheta`
95.7%	1	`c`
95.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes47.0ms (0.3%)

Memory

5.7MiB live, 122.9MiB allocated

Counts

23 → 1

Calls

Call 1

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

Outputs

(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta #s(literal -3/2 binary32) #s(literal -1 binary32))) #s(literal 1 binary32)))

Calls

6 calls:

10.0ms	(/.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	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
7.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
7.0ms	(+.f32 #s(literal 1 binary32) c)
7.0ms	c

Results

Accuracy	Segments	Branch
95.5%	1	`cosTheta`
95.5%	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)))))`
95.5%	1	`c`
95.5%	1	`(+.f32 #s(literal 1 binary32) c)`
95.5%	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))))`
95.5%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes37.0ms (0.3%)

Memory

-15.7MiB live, 103.0MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`cosTheta`
95.3%	1	`c`
95.3%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.3%	1	`(+.f32 #s(literal 1 binary32) c)`
95.3%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.3%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes31.0ms (0.2%)

Memory

17.0MiB live, 65.5MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
94.6%	1	`(+.f32 #s(literal 1 binary32) c)`
94.6%	1	`cosTheta`
94.6%	1	`c`
94.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
94.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
94.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes28.0ms (0.2%)

Memory

-29.9MiB live, 49.4MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) c)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(.f32 cosTheta (fma.f32 (.f32 (PI.f32) (neg.f32 c)) cosTheta (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) cosTheta)) (-.f32 #s(literal 0 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))

Outputs
(.f32 cosTheta (fma.f32 (.f32 (PI.f32) (neg.f32 c)) cosTheta (sqrt.f32 (PI.f32))))

Calls

6 calls:

10.0ms	c
4.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
4.0ms	(.f32 (.f32 (/.f32 #s(literal 1 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	cosTheta

Results

Accuracy	Segments	Branch
91.9%	1	`cosTheta`
91.9%	1	`c`
91.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
91.9%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
91.9%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
91.9%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes11.0ms (0.1%)

Memory

30.4MiB live, 30.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
2.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
2.0ms	cosTheta
2.0ms	c

Results

Accuracy	Segments	Branch
91.9%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
91.9%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
91.9%	1	`cosTheta`
91.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
91.9%	1	`c`
91.9%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 84 to 58 computations (31% saved)

regimes48.0ms (0.3%)

Memory

-15.7MiB live, 23.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) c)

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

Calls

6 calls:

40.0ms	(+.f32 #s(literal 1 binary32) c)
1.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
1.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
1.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
1.0ms	c

Results

Accuracy	Segments	Branch
5.2%	1	`cosTheta`
5.2%	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)))))`
5.2%	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))))`
5.2%	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)))`
5.2%	1	`c`
5.2%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 84 to 58 computations (31% saved)

simplify35.0ms (0.2%)

Memory

-17.8MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative_binary32`
30×	`*-commutative_binary32`
18×	`sub-neg_binary32`
12×	`neg-mul-1_binary32`
10×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	259
1	114	259
2	130	259
3	140	259
4	144	259
5	145	259

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (11.5%)

Memory

15.6MiB live, 1 176.3MiB allocated

Rules

10 038×	`accelerator-lowering-fma.f32`
10 038×	`accelerator-lowering-fma.f64`
9 656×	`accelerator-lowering-fma.f32`
9 656×	`accelerator-lowering-fma.f64`
7 860×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	900	10753
1	2843	9848
0	8791	9415
0	1171	16379
1	3906	15827
0	8587	14988
0	57	411
1	407	369
2	3897	361
0	8378	338
0	1116	12385
1	3812	11371
0	8129	10868
0	410	3676
1	1246	3572
2	4769	3476
0	8360	3311
0	18	89
1	126	80
2	1045	73
0	8540	73
0	51	321
1	354	285
2	3399	285
0	9510	268

Stop Event

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

Compiler

Compiled 449 to 218 computations (51.4% saved)

preprocess108.0ms (0.7%)

Memory: -6.3MiB live, 149.7MiB allocated
Compiler: Compiled 578 to 190 computations (67.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze58.0ms (0.4%)

sample2.5s (17.4%)

preprocess247.0ms (1.7%)

explain200.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify205.0ms (1.4%)

localize63.0ms (0.4%)

series25.0ms (0.2%)

rewrite338.0ms (2.3%)

simplify454.0ms (3.1%)

eval68.0ms (0.5%)

prune104.0ms (0.7%)

simplify446.0ms (3.1%)

localize202.0ms (1.4%)

series86.0ms (0.6%)

rewrite581.0ms (4%)

simplify950.0ms (6.6%)

eval299.0ms (2.1%)

prune297.0ms (2.1%)

simplify260.0ms (1.8%)

localize181.0ms (1.2%)

series58.0ms (0.4%)

rewrite462.0ms (3.2%)

simplify570.0ms (3.9%)

eval217.0ms (1.5%)

prune256.0ms (1.8%)

simplify328.0ms (2.3%)

localize183.0ms (1.3%)

series48.0ms (0.3%)

rewrite427.0ms (2.9%)

simplify554.0ms (3.8%)

eval310.0ms (2.1%)

prune276.0ms (1.9%)

regimes450.0ms (3.1%)

regimes108.0ms (0.7%)

regimes119.0ms (0.8%)

regimes120.0ms (0.8%)

regimes91.0ms (0.6%)

regimes87.0ms (0.6%)

regimes119.0ms (0.8%)

regimes58.0ms (0.4%)

regimes53.0ms (0.4%)

regimes47.0ms (0.3%)

regimes37.0ms (0.3%)

regimes31.0ms (0.2%)

regimes28.0ms (0.2%)

regimes11.0ms (0.1%)

regimes48.0ms (0.3%)

simplify35.0ms (0.2%)

soundness1.7s (11.5%)

preprocess108.0ms (0.7%)

end0.0ms (0%)

Profiling