Metrics for Beckmann Sample, normalization factor

analyze26.0ms (0.1%)

Memory

5.2MiB live, 43.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample2.3s (12.3%)

Memory

-126.1MiB live, 2 901.1MiB allocated

Samples

1.7s	8 256×	0	valid
8.0ms	60×	0	invalid

Precisions

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

ival-mult: 242.0ms (18.9% of total)

ival-div: 195.0ms (15.3% of total)

ival-sub: 159.0ms (12.4% of total)

ival-sqrt: 136.0ms (10.6% of total)

const: 133.0ms (10.4% of total)

ival-<: 116.0ms (9.1% of total)

ival-add: 99.0ms (7.7% of total)

ival-exp: 78.0ms (6.1% of total)

ival-neg: 43.0ms (3.4% of total)

ival-pi: 38.0ms (3% of total)

ival-and: 22.0ms (1.7% of total)

exact: 15.0ms (1.2% of total)

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

Bogosity

preprocess255.0ms (1.4%)

Memory

21.9MiB live, 183.3MiB 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) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))

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)))))))

explain288.0ms (1.6%)

Memory

-4.3MiB live, 470.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
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)))))`
0	-	-	`(sqrt.f32 (PI.f32))`
0	-	-	`(PI.f32)`
0	-	-	`(*.f32 (neg.f32 cosTheta) cosTheta)`
0	-	-	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) 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) 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 #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)))))`	n/o	1	0
↳	`(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)`	overflow	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)))`	overflow	1
↳	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))`	overflow	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))))`	overflow	1

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

88.0ms

512×

valid

Compiler

Compiled 310 to 76 computations (75.5% saved)

Precisions

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

ival-div: 13.0ms (27.3% of total)

ival-mult: 8.0ms (16.8% of total)

ival-sqrt: 7.0ms (14.7% of total)

ival-add: 5.0ms (10.5% of total)

ival-sub: 5.0ms (10.5% of total)

ival-exp: 4.0ms (8.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 24 to 17 computations (29.2% saved)

prune1.0ms (0%)

Memory

3.3MiB live, 3.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(/.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)))))
▶	98.4%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))))

Status

Accuracy

Program

▶

97.6%

(/.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)))))

▶

98.4%

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

simplify174.0ms (0.9%)

Memory

-16.7MiB live, 141.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	234
1	69	232
2	150	232
3	279	232
4	402	232
5	790	232
6	1988	232
7	2814	232
8	3456	232
9	4092	232
10	4263	232
11	4296	232
12	4329	232
13	4464	232
14	5065	232
15	5073	232
16	5077	232
17	5077	232
0	5077	219

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize120.0ms (0.7%)

Memory

25.3MiB live, 182.5MiB allocated

Localize:

Found 8 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	98.1%	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
✓	accuracy	96.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
✓	accuracy	99.9%	(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
✓	accuracy	99.1%	(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
✓	accuracy	98.8%	(*.f32 (sqrt.f32 (PI.f32)) cosTheta)

Samples

58.0ms

256×

valid

Compiler

Compiled 245 to 32 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 10.0ms (23.8% of total)

ival-sqrt: 9.0ms (21.4% of total)

ival-div: 8.0ms (19% of total)

ival-add: 7.0ms (16.7% of total)

ival-exp: 4.0ms (9.5% of total)

ival-sub: 2.0ms (4.8% of total)

ival-pi: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series73.0ms (0.4%)

Memory

-19.8MiB live, 111.7MiB allocated

Counts

12 → 180

Calls

Call 1

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

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

45 calls:

Time	Variable		Point	Expression
27.0ms	cosTheta	@	inf	(/ 1 (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))))))
7.0ms	cosTheta	@	-inf	(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))
5.0ms	cosTheta	@	-inf	(/ 1 (+ c (+ 1 (/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))))))
4.0ms	cosTheta	@	inf	(/ (sqrt (+ 1 (* cosTheta -2))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)))
3.0ms	cosTheta	@	inf	(/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))))

rewrite465.0ms (2.5%)

Memory

-3.4MiB live, 729.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 568×	`-lowering-.f32`
5 568×	`-lowering-.f64`
3 792×	`/-lowering-/.f32`
3 792×	`/-lowering-/.f64`
2 320×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	175
1	196	166
2	1738	162
0	8672	155

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 414

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))))
(exp.f32 (.f32 (log1p.f32 (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c)) #s(literal -1 binary32)))
(pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))))
(.f32 (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 c (.f32 c c)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 3 binary32)))) (+.f32 (.f32 c c) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) c))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 c (.f32 c c)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (.f32 c c) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) c)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 c c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (-.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 c c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (.f32 (log1p.f32 (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c)) #s(literal -1 binary32))))
(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) c))
(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) c)
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
(+.f32 (+.f32 c (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 1 binary32))
(pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (.f32 c c) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) c))) (+.f32 (.f32 c (.f32 c c)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) (-.f32 (.f32 c c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 c #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (pow.f32 (/.f32 (.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 (.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 3/2 binary32)) (exp.f32 (.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 3 binary32)))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))) c)
(fma.f32 (+.f32 #s(literal 1 binary32) (.f32 c (.f32 c c))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 c (-.f32 c #s(literal 1 binary32))))) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (exp.f32 (.f32 cosTheta cosTheta))) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (exp.f32 (.f32 cosTheta cosTheta))) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) c))
(fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) c)
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) c)) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
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(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))))) (sqrt.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))))) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))))
(/.f32 (sqrt.f32 (-.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))))))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))))))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/4 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal -1/2 binary32)))
(exp.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(pow.f32 (PI.f32) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/4 binary32))
(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))
(pow.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal -1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(literal 2 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 cosTheta) (neg.f32 cosTheta)))
(+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))
(+.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))
(pow.f32 (/.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta)))) #s(literal -1 binary32))
(pow.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 #s(literal 2 binary32) cosTheta)))) #s(literal -1 binary32))
(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 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) (neg.f32 cosTheta))
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 cosTheta))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) 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))) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))) (/.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 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 (.f32 cosTheta cosTheta) (+.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 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta)))))
(/.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 #s(literal 2 binary32) cosTheta)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta))))))
(/.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 #s(literal 2 binary32) cosTheta))))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta))) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta))) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 (.f32 cosTheta cosTheta) (*.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 #s(literal 2 binary32) 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 #s(literal 2 binary32) cosTheta))) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta)))) (neg.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta)))) (neg.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (-.f32 (.f32 cosTheta cosTheta) (*.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 #s(literal 2 binary32) 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 #s(literal 2 binary32) 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 (.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 #s(literal 2 binary32) cosTheta) (.f32 #s(literal 2 binary32) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) cosTheta) (.f32 #s(literal 2 binary32) cosTheta))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 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 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (.f32 cosTheta (.f32 cosTheta cosTheta)))) (.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta cosTheta))) (*.f32 (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta))))) (neg.f32 (neg.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (+.f32 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 #s(literal 2 binary32) 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 (.f32 cosTheta cosTheta))))) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 #s(literal 2 binary32) cosTheta) (.f32 #s(literal 2 binary32) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) cosTheta) (.f32 #s(literal 2 binary32) cosTheta)))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))))
(.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 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 #s(literal 2 binary32) cosTheta))) (/.f32 #s(literal 1 binary32) (+.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))

simplify444.0ms (2.4%)

Memory

8.5MiB live, 874.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 886×	`accelerator-lowering-fma.f32`
7 886×	`accelerator-lowering-fma.f64`
6 550×	`-lowering-.f32`
6 550×	`-lowering-.f64`
3 796×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	713	7782
1	2156	7371
0	8289	7107

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

eval65.0ms (0.4%)

Memory: 17.6MiB live, 172.7MiB allocated
Compiler: Compiled 24 315 to 2 667 computations (89% saved)

prune98.0ms (0.5%)

Memory

-42.0MiB live, 248.1MiB allocated

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	570	24	594
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	572	24	596

Accuracy

99.9%

Counts

596 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(pow.f32 (pow.f32 (+.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	97.9%	(pow.f32 (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	92.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
▶	98.4%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)))
▶	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
▶	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta)))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) #s(literal 1/2 binary32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (pow.f32 (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)))))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)))
	92.2%	(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
	92.7%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
	97.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))
	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))
	56.4%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (neg.f32 c))) (neg.f32 c)))
	56.2%	(/.f32 #s(literal 1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 cosTheta c)))))))
▶	5.0%	(/.f32 #s(literal 1 binary32) c)
	56.5%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32)))) (-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))))
	96.0%	(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32)))))
	93.1%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
▶	90.4%	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))))) #s(literal -1 binary32)))

Compiler

Compiled 1 064 to 722 computations (32.1% saved)

simplify329.0ms (1.8%)

Memory

21.9MiB live, 499.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))))
✓	cost-diff	32	(.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))
✓	cost-diff	32	(.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))
✓	cost-diff	6304	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))))) #s(literal -1 binary32)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) c)
✓	cost-diff	0	(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta)))
✓	cost-diff	32	(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))
✓	cost-diff	0	(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) c)
✓	cost-diff	0	(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) c)
✓	cost-diff	0	(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32))
✓	cost-diff	0	(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
✓	cost-diff	0	(+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)))

Rules

9 076×	`accelerator-lowering-fma.f32`
9 076×	`accelerator-lowering-fma.f64`
3 576×	`-lowering-.f32`
3 576×	`-lowering-.f64`
1 364×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	442
1	99	441
2	177	432
3	258	432
4	439	432
5	685	432
6	1236	432
7	2223	432
8	4472	432
9	6412	432
0	8092	403

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize195.0ms (1.1%)

Memory

-8.0MiB live, 344.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))))
✓	accuracy	98.4%	(/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta)
✓	accuracy	97.6%	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
✓	accuracy	90.6%	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))))) #s(literal -1 binary32)))
✓	accuracy	99.8%	(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta)))
✓	accuracy	98.4%	(/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta)
✓	accuracy	97.6%	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
✓	accuracy	98.4%	(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)
✓	accuracy	96.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) c)
✓	accuracy	99.8%	(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	accuracy	99.1%	(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)))
✓	accuracy	98.8%	(.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))

Samples

80.0ms

256×

valid

Compiler

Compiled 450 to 46 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 18.0ms (30% of total)

ival-mult: 13.0ms (21.7% of total)

ival-exp: 7.0ms (11.7% of total)

ival-add: 7.0ms (11.7% of total)

ival-sqrt: 7.0ms (11.7% of total)

ival-log1p: 3.0ms (5% of total)

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

ival-pi: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

series95.0ms (0.5%)

Memory

23.9MiB live, 100.2MiB allocated

Counts

24 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
31.0ms	cosTheta	@	inf	(* (exp (* cosTheta cosTheta)) (pow (PI) 1/2))
7.0ms	cosTheta	@	-inf	(/ 1 (+ (+ 1 c) (/ (* (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) (exp (neg (* cosTheta cosTheta)))) cosTheta)))
6.0ms	c	@	inf	(* (log (+ 1 (+ c (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta))))))) -1)
4.0ms	cosTheta	@	-inf	(* (log (+ 1 (+ c (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta))))))) -1)
4.0ms	cosTheta	@	inf	(* (log (+ 1 (+ c (* (/ (sqrt (/ (- 1 (* 2 cosTheta)) (PI))) cosTheta) (exp (neg (* cosTheta cosTheta))))))) -1)

rewrite561.0ms (3%)

Memory

-26.1MiB live, 864.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 450×	`/-lowering-/.f32`
3 450×	`/-lowering-/.f64`
3 088×	`-lowering-.f32`
3 088×	`-lowering-.f64`
2 708×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	317
1	291	296
2	2849	296
0	8220	274

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 266

Calls

Call 1

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

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

simplify613.0ms (3.3%)

Memory

33.4MiB live, 979.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 772×	`accelerator-lowering-fma.f32`
6 772×	`accelerator-lowering-fma.f64`
6 530×	`-lowering-.f32`
6 530×	`-lowering-.f64`
5 654×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1133	16073
1	3623	15395
0	8195	14727

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2))))))))
(- (+ (* 1/4 (/ 1 (* (pow cosTheta 3) (* (PI) (* (pow (exp (pow cosTheta 2)) 2) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 3))))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2)))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (* (exp (pow cosTheta 2)) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (/ (sqrt -2) (exp (pow cosTheta 2)))))) 2))))))))
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c
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c
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(+ (log (+ 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) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))))
(+ (log (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))) (* -3 (/ (* 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))))) 2)))))) (pow cosTheta 4))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))))))))
(+ (log (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2)))))) (+ (* 1/720 (/ (+ (* 30 (* (sqrt (/ (pow cosTheta 3) (pow (PI) 3))) (/ (pow (exp (neg (pow cosTheta 2))) 3) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))) 3))))) (+ (* 45 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 5) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))) (* 45 (/ (* (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))))) 2))))))) (pow cosTheta 6))) (+ (* 1/24 (/ (+ (* -3 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (neg (pow cosTheta 2))) (* (pow (sqrt -2) 3) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))) (* -3 (/ (* 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))))) 2)))))) (pow cosTheta 4))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (neg (pow cosTheta 2))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (sqrt -2))))))))))))
(log (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
(+ (log (+ 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))))))))))))
(+ (log (+ 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))))))))))) (* 1/24 (/ (+ (* 3 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))) (* 3 (/ (* 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))))))) 2)))))) (pow cosTheta 4)))))
(+ (log (+ 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))))))))))) (+ (* 1/720 (/ (+ (* -45 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))) (+ (* -30 (* (sqrt (/ (pow cosTheta 3) (pow (PI) 3))) (/ (* (pow (exp (neg (pow cosTheta 2))) 3) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 45 (/ (* (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))))))) 2))))))) (pow cosTheta 6))) (* 1/24 (/ (+ (* 3 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (neg (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))) (* 3 (/ (* 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))))))) 2)))))) (pow cosTheta 4))))))
(* cosTheta (sqrt (PI)))
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (sqrt (PI)))))
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* 1/2 (* (pow cosTheta 2) (sqrt (PI))))))))
(* cosTheta (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (sqrt (PI)))) (* 1/2 (sqrt (PI)))))))))
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))
(* (* cosTheta (exp (pow cosTheta 2))) (sqrt (PI)))
(sqrt (PI))
(+ (sqrt (PI)) (* (pow cosTheta 2) (sqrt (PI))))
(+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* 1/2 (* (pow cosTheta 2) (sqrt (PI)))))))
(+ (sqrt (PI)) (* (pow cosTheta 2) (+ (sqrt (PI)) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (sqrt (PI)))) (* 1/2 (sqrt (PI))))))))
(* (sqrt (PI)) (exp (pow cosTheta 2)))
(* (sqrt (PI)) (exp (pow cosTheta 2)))
(* (sqrt (PI)) (exp (pow cosTheta 2)))
(* (sqrt (PI)) (exp (pow cosTheta 2)))
(* (sqrt (PI)) (exp (pow cosTheta 2)))
(* (sqrt (PI)) (exp (pow cosTheta 2)))
(* (sqrt (PI)) (exp (pow cosTheta 2)))
(* (sqrt (PI)) (exp (pow cosTheta 2)))
(sqrt (/ 1 (PI)))
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))
(+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))
(* -1 (* cosTheta (sqrt (/ 1 (PI)))))
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
(* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
(* -1 (* cosTheta (sqrt (/ 1 (PI)))))
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))
(* -1 (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))))
(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 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 (neg (pow cosTheta 2))) (sqrt -2)))
(+ (* 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))))
(+ (* -1/8 (* (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)))))
(+ (* -1/8 (* (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 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (neg (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))
(+ (* -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 (* (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))))))
(+ (* -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)))))))
(/ 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 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)))))))

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

eval215.0ms (1.2%)

Memory: 11.7MiB live, 552.0MiB allocated
Compiler: Compiled 70 824 to 6 776 computations (90.4% saved)

prune327.0ms (1.8%)

Memory

-33.9MiB live, 557.1MiB allocated

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	1 864	25	1 889
Fresh	9	10	19
Picked	4	1	5
Done	0	0	0
Total	1 877	36	1 913

Accuracy

100.0%

Counts

1 913 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.1%	(pow.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
▶	97.9%	(pow.f32 (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	6.6%	(pow.f32 (*.f32 c c) #s(literal -1/2 binary32))
▶	95.1%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	92.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (+.f32 #s(literal 1 binary32) c)))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)))
▶	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) #s(literal 1 binary32)) c))
	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) c))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta)))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))) cosTheta)))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta)))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) (+.f32 #s(literal 1 binary32) cosTheta))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -3/2 binary32))) cosTheta)))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 cosTheta (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) cosTheta)))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta)))))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta))))
	53.7%	(/.f32 #s(literal 1 binary32) (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32)))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (+.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) cosTheta)))
	92.2%	(/.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))
	95.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
	97.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta)))
	97.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))
▶	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))))
✓	5.0%	(/.f32 #s(literal 1 binary32) c)
	97.5%	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta))) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))) cosTheta)) #s(literal 2 binary32))))
	55.9%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) (pow.f32 (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) cosTheta) #s(literal 2 binary32))) (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.f32 (/.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) c)))
	53.5%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))))
	96.0%	(.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (*.f32 cosTheta (PI.f32)))))
▶	93.1%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
	85.1%	(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #s(literal -1 binary32)))

Compiler

Compiled 1 527 to 1 018 computations (33.3% saved)

simplify584.0ms (3.2%)

Memory

15.3MiB live, 879.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))
✓	cost-diff	0	(+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))
✓	cost-diff	0	(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) c))
✓	cost-diff	0	(+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c))))
✓	cost-diff	0	(/.f32 (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
✓	cost-diff	0	(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))
✓	cost-diff	0	(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) #s(literal 1 binary32))
✓	cost-diff	0	(+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) #s(literal 1 binary32)) c)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) #s(literal 1 binary32)) c))
✓	cost-diff	-32	(sqrt.f32 (PI.f32))
✓	cost-diff	0	(PI.f32)
✓	cost-diff	0	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))
✓	cost-diff	0	(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
✓	cost-diff	0	(pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32))
✓	cost-diff	6400	(pow.f32 (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))

Rules

19 566×	`accelerator-lowering-fma.f32`
19 566×	`accelerator-lowering-fma.f64`
3 180×	`--lowering--.f32`
3 180×	`--lowering--.f64`
2 980×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	449
1	100	447
2	191	445
3	446	445
4	1151	445
5	3113	445
0	8174	425

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize435.0ms (2.4%)

Memory

-10.6MiB live, 313.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))
✓	accuracy	98.3%	(/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))
✓	accuracy	97.6%	(sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))
✓	accuracy	99.6%	(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) c))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
✓	accuracy	98.4%	(/.f32 (+.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)))
✓	accuracy	97.4%	(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	accuracy	99.8%	(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) #s(literal 1 binary32)) c))
✓	accuracy	98.2%	(/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)
✓	accuracy	96.9%	(pow.f32 (PI.f32) #s(literal -1/2 binary32))
✓	accuracy	100.0%	(sqrt.f32 (PI.f32))
✓	accuracy	100.0%	(PI.f32)
✓	accuracy	98.8%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
✓	accuracy	99.2%	(pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32))
✓	accuracy	99.1%	(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
✓	accuracy	98.8%	(.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
✓	accuracy	98.5%	(pow.f32 (pow.f32 (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))

Samples

236.0ms

256×

valid

Compiler

Compiled 471 to 48 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-div: 106.0ms (49.1% of total)

ival-sub: 64.0ms (29.6% of total)

ival-mult: 16.0ms (7.4% of total)

ival-pow: 10.0ms (4.6% of total)

ival-add: 9.0ms (4.2% of total)

ival-sqrt: 5.0ms (2.3% of total)

ival-pow2: 3.0ms (1.4% of total)

ival-exp: 2.0ms (0.9% of total)

ival-pi: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series94.0ms (0.5%)

Memory

6.7MiB live, 85.2MiB allocated

Counts

26 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
21.0ms	cosTheta	@	0	(/ 1 (/ (+ (* (/ (- 1 cosTheta) (pow (PI) 1/2)) (- 1 c)) (* cosTheta (- 1 (* c c)))) (* cosTheta (- 1 c))))
6.0ms	c	@	0	(+ (* (/ (- 1 cosTheta) (pow (PI) 1/2)) (- 1 c)) (* cosTheta (- 1 (* c c))))
3.0ms	cosTheta	@	-inf	(pow (+ c (+ 1 (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* cosTheta (* (exp (* cosTheta cosTheta)) (pow (PI) 1/2)))))) -1/2)
3.0ms	cosTheta	@	inf	(pow (+ c (+ 1 (/ (pow (+ 1 (* cosTheta -2)) 1/2) (* cosTheta (* (exp (* cosTheta cosTheta)) (pow (PI) 1/2)))))) -1/2)
2.0ms	c	@	0	(/ 1 (/ (+ (* (/ (- 1 cosTheta) (pow (PI) 1/2)) (- 1 c)) (* cosTheta (- 1 (* c c)))) (* cosTheta (- 1 c))))

rewrite442.0ms (2.4%)

Memory

24.4MiB live, 885.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 688×	`/-lowering-/.f32`
3 688×	`/-lowering-/.f64`
3 504×	`-lowering-.f32`
3 504×	`-lowering-.f64`
2 882×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	342
1	318	330
2	2972	330
0	8837	316

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1 252

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))))
(exp.f32 (.f32 (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))))) #s(literal -1 binary32)))
(exp.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))))
(exp.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))))))) #s(literal 1 binary32)))
(exp.f32 (.f32 (log.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))))) #s(literal 2 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (.f32 (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32)) #s(literal 1 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1/2 binary32) (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))))))) #s(literal 1 binary32)))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1/4 binary32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 2 binary32)) #s(literal -1/2 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) #s(literal -1 binary32))
(pow.f32 (.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))))) #s(literal 2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal 2 binary32))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (.f32 #s(literal -1/2 binary32) (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))))))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))))))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))))) #s(literal 1 binary32))
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(pow.f32 (neg.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) (neg.f32 (PI.f32)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))) (PI.f32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32)))) (neg.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32)))) (neg.f32 (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))) #s(literal 1 binary32))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32)))) (PI.f32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) #s(literal 1 binary32))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))))) (neg.f32 (neg.f32 (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))))
(/.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(sqrt.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))) (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)))
(.f32 (neg.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32))))
(.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) #s(literal -8 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -2 binary32)) (-.f32 (*.f32 cosTheta #s(literal -2 binary32)) #s(literal 1 binary32))))))
(.f32 (pow.f32 (/.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal 4 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))))

simplify639.0ms (3.5%)

Memory

-17.6MiB live, 1 267.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 950×	`accelerator-lowering-fma.f32`
8 950×	`accelerator-lowering-fma.f64`
6 216×	`-lowering-.f32`
6 216×	`-lowering-.f64`
6 210×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1073	16377
1	3396	15236
0	8433	14660

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval268.0ms (1.5%)

Memory: 18.4MiB live, 604.3MiB allocated
Compiler: Compiled 64 370 to 7 440 computations (88.4% saved)

prune353.0ms (1.9%)

Memory

-10.8MiB live, 933.4MiB allocated

Pruning

46 alts after pruning (44 fresh and 2 done)

	Pruned	Kept	Total
New	1 842	30	1 872
Fresh	16	14	30
Picked	4	1	5
Done	0	1	1
Total	1 862	46	1 908

Accuracy

100.0%

Counts

1 908 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	96.7%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1/4 binary32)) #s(literal 4 binary32))
	6.6%	(pow.f32 (*.f32 c c) #s(literal -1/2 binary32))
	95.7%	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) c)) cosTheta))
▶	95.6%	(/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))
	95.3%	(/.f32 cosTheta (+.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta))))
	92.2%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))
▶	95.4%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	95.1%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c)))) (-.f32 #s(literal 1 binary32) c)) cosTheta))
	95.2%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	95.0%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)))) (neg.f32 c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	11.3%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (neg.f32 c) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	95.1%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (+.f32 (.f32 cosTheta c) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)))) cosTheta))
	88.7%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	94.9%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta))) cosTheta))
	48.9%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 c c) (-.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c c)))) (/.f32 cosTheta (.f32 c c))) cosTheta)) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	92.2%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
▶	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 c #s(literal 1 binary32))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)))
	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32))))
	92.2%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) c))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) cosTheta) #s(literal 1 binary32)) c))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) c))
	95.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal 1 binary32)) c))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 cosTheta (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) cosTheta)))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta))))
	53.7%	(/.f32 #s(literal 1 binary32) (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32)))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
	95.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) cosTheta)))
	97.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta)))
	97.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
▶	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta))))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))))
▶	10.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
	95.0%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 c c))) (+.f32 c #s(literal 1 binary32))))
✓	5.0%	(/.f32 #s(literal 1 binary32) c)
	96.2%	(.f32 (/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))))) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c)))))
	53.5%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))))
	95.5%	(.f32 (-.f32 #s(literal 1 binary32) c) (/.f32 cosTheta (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))))
	95.9%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c))))) (-.f32 #s(literal 1 binary32) c)) cosTheta)
	93.2%	(*.f32 cosTheta (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3/2 binary32)))
✓	93.1%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
	85.1%	(exp.f32 (*.f32 (log1p.f32 (+.f32 c (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))) #s(literal -1 binary32)))

Compiler

Compiled 2 089 to 1 303 computations (37.6% saved)

simplify393.0ms (2.1%)

Memory

26.2MiB live, 689.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

9 980×	`accelerator-lowering-fma.f32`
9 980×	`accelerator-lowering-fma.f64`
3 826×	`-lowering-.f32`
3 826×	`-lowering-.f64`
3 118×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	616
1	114	616
2	330	614
3	1658	602
4	7315	602
0	8800	570

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize217.0ms (1.2%)

Memory

-22.0MiB live, 410.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
✓	accuracy	98.4%	(/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)))
✓	accuracy	97.8%	(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	accuracy	97.8%	(/.f32 (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c)))))
✓	accuracy	99.8%	(*.f32 cosTheta (-.f32 #s(literal 1 binary32) c))
✓	accuracy	99.6%	(+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c))))
✓	accuracy	98.4%	(/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))
✓	accuracy	97.8%	(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
✓	accuracy	99.1%	(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 c #s(literal 1 binary32))))
✓	accuracy	98.1%	(/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
✓	accuracy	96.9%	(pow.f32 (PI.f32) #s(literal -1/2 binary32))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) c)
✓	accuracy	99.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
✓	accuracy	99.7%	(/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32))))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta))))
✓	accuracy	98.4%	(/.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta)
✓	accuracy	97.6%	(pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32))

Samples

89.0ms

256×

valid

Compiler

Compiled 628 to 48 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 22.0ms (33% of total)

ival-mult: 15.0ms (22.5% of total)

ival-pow: 10.0ms (15% of total)

ival-add: 8.0ms (12% of total)

ival-sub: 5.0ms (7.5% of total)

ival-exp: 2.0ms (3% of total)

ival-sqrt: 2.0ms (3% of total)

ival-pi: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series76.0ms (0.4%)

Memory

24.9MiB live, 151.3MiB allocated

Counts

23 → 420

Calls

Call 1

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

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

Calls

105 calls:

Time	Variable		Point	Expression
14.0ms	cosTheta	@	-inf	(/ 1 (/ (/ (- (/ (* (* (- 1 cosTheta) (- 1 c)) (* (- 1 cosTheta) (- 1 c))) (PI)) (* cosTheta (* (- 1 (* c c)) (* cosTheta (- 1 (* c c)))))) (- (/ (* (- 1 cosTheta) (- 1 c)) (pow (PI) 1/2)) (* cosTheta (- 1 (* c c))))) (* cosTheta (- 1 c))))
4.0ms	c	@	0	(/ 1 (/ (/ (- (/ (* (* (- 1 cosTheta) (- 1 c)) (* (- 1 cosTheta) (- 1 c))) (PI)) (* cosTheta (* (- 1 (* c c)) (* cosTheta (- 1 (* c c)))))) (- (/ (* (- 1 cosTheta) (- 1 c)) (pow (PI) 1/2)) (* cosTheta (- 1 (* c c))))) (* cosTheta (- 1 c))))
3.0ms	c	@	inf	(/ (/ (- (/ (* (* (- 1 cosTheta) (- 1 c)) (* (- 1 cosTheta) (- 1 c))) (PI)) (* cosTheta (* (- 1 (* c c)) (* cosTheta (- 1 (* c c)))))) (- (/ (* (- 1 cosTheta) (- 1 c)) (pow (PI) 1/2)) (* cosTheta (- 1 (* c c))))) (* cosTheta (- 1 c)))
3.0ms	c	@	0	(/ (/ (- (/ (* (* (- 1 cosTheta) (- 1 c)) (* (- 1 cosTheta) (- 1 c))) (PI)) (* cosTheta (* (- 1 (* c c)) (* cosTheta (- 1 (* c c)))))) (- (/ (* (- 1 cosTheta) (- 1 c)) (pow (PI) 1/2)) (* cosTheta (- 1 (* c c))))) (* cosTheta (- 1 c)))
2.0ms	cosTheta	@	-inf	(/ (/ (- (/ (* (* (- 1 cosTheta) (- 1 c)) (* (- 1 cosTheta) (- 1 c))) (PI)) (* cosTheta (* (- 1 (* c c)) (* cosTheta (- 1 (* c c)))))) (- (/ (* (- 1 cosTheta) (- 1 c)) (pow (PI) 1/2)) (* cosTheta (- 1 (* c c))))) (* cosTheta (- 1 c)))

rewrite400.0ms (2.2%)

Memory

-23.5MiB live, 811.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 460×	`-lowering-.f32`
4 460×	`-lowering-.f64`
3 966×	`accelerator-lowering-fma.f32`
3 966×	`accelerator-lowering-fma.f64`
3 472×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	329
1	357	291
2	3814	291
0	8750	280

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 912

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))))
(exp.f32 (.f32 (log1p.f32 (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))) #s(literal -1/2 binary32))
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(pow.f32 (.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal -2 binary32))
(pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/8 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/4 binary32)) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/8 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/4 binary32)) #s(literal -1/2 binary32)) (pow.f32 (PI.f32) #s(literal -1/8 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/8 binary32)))
(.f32 (pow.f32 (cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/6 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal -1/4 binary32)) (pow.f32 (PI.f32) #s(literal -1/12 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal -1/12 binary32)) #s(literal 2 binary32)))
(neg.f32 (/.f32 cosTheta (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)) #s(literal -1 binary32)))
(pow.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta) #s(literal 1 binary32)))
(/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta)))
(/.f32 (neg.f32 cosTheta) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(/.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))
(/.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/4 binary32))) (pow.f32 (PI.f32) #s(literal -1/4 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(*.f32 cosTheta (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) cosTheta)
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))
(*.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) cosTheta) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 cosTheta)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))))
(neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(neg.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (-.f32 #s(literal 1 binary32) c))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (-.f32 #s(literal 1 binary32) c))) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 cosTheta cosTheta))) (-.f32 #s(literal 1 binary32) c)) (.f32 (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) c)) (*.f32 (+.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (-.f32 #s(literal 1 binary32) c)))) (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 cosTheta cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) cosTheta))
(/.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)))
(.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) c) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (-.f32 #s(literal 1 binary32) c) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal -1/2 binary32))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal -1/2 binary32)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (-.f32 #s(literal 1 binary32) c))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(.f32 (pow.f32 (PI.f32) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) #s(literal -1 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) c) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal -1 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (-.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (-.f32 #s(literal 1 binary32) c)) #s(literal -1 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal -1 binary32)))

simplify564.0ms (3.1%)

Memory

13.6MiB live, 881.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 064×	`-lowering-.f32`
6 064×	`-lowering-.f64`
5 390×	`accelerator-lowering-fma.f32`
5 390×	`accelerator-lowering-fma.f64`
3 840×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1670	19960
1	5443	19233
0	8375	18595

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 420

Calls

Call 1

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

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

eval264.0ms (1.4%)

Memory: 21.3MiB live, 450.9MiB allocated
Compiler: Compiled 86 461 to 6 262 computations (92.8% saved)

prune258.0ms (1.4%)

Memory

-3.8MiB live, 598.8MiB allocated

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	1 698	24	1 722
Fresh	18	21	39
Picked	2	3	5
Done	1	1	2
Total	1 719	49	1 768

Accuracy

100.0%

Counts

1 768 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.2%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
	96.7%	(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))) #s(literal -1/4 binary32)) #s(literal 4 binary32))
	96.1%	(/.f32 (/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (-.f32 #s(literal 1 binary32) c) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) c) (PI.f32))))) (.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))))
	95.5%	(/.f32 (-.f32 cosTheta (.f32 cosTheta c)) (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))
	11.3%	(/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))
	92.5%	(/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (+.f32 (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))
	95.4%	(/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (+.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c)))))
	89.1%	(/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (+.f32 cosTheta (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta))))
	92.5%	(/.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) c)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) c)))
	95.4%	(/.f32 (.f32 cosTheta (.f32 c (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal -1 binary32)))) (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c)))))
	89.2%	(/.f32 cosTheta (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c)))))
	95.3%	(/.f32 cosTheta (+.f32 cosTheta (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta))))
	92.2%	(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) cosTheta))
	88.3%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) (.f32 cosTheta cosTheta)) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	95.4%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (-.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	89.0%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (*.f32 c c))))) cosTheta))
	95.2%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (-.f32 (/.f32 (.f32 (.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	88.9%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c))) (PI.f32)) (.f32 cosTheta (.f32 (-.f32 #s(literal 1 binary32) (.f32 c c)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c)))))) (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	10.7%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 c c)) (-.f32 #s(literal 1 binary32) c)))
	48.9%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 c c) (-.f32 (+.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) c)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 c c)))) (/.f32 cosTheta (.f32 c c))) cosTheta)) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) c))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) #s(literal 1/2 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) c)))
	95.6%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (+.f32 c #s(literal 1 binary32))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (+.f32 #s(literal 1 binary32) cosTheta))) (+.f32 c #s(literal 1 binary32))))
✓	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 c #s(literal 1 binary32))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) c)))
	95.8%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (+.f32 c #s(literal 1 binary32))))
	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (+.f32 c #s(literal 1 binary32))))
	92.2%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta) c))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal -1/2 binary32)))) (+.f32 c #s(literal 1 binary32))))
	95.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))) #s(literal 1 binary32)) c))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (.f32 cosTheta (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))) cosTheta)))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))) cosTheta))))
	53.7%	(/.f32 #s(literal 1 binary32) (+.f32 (.f32 c (+.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) c)))) #s(literal 1 binary32)))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
	97.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta)))
	97.3%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32))) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
✓	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (/.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -2 binary32)))) #s(literal -1/2 binary32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta))))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal -1 binary32)))))
✓	10.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) c))
	53.6%	(/.f32 #s(literal 1 binary32) (.f32 (neg.f32 c) (+.f32 (neg.f32 (/.f32 (+.f32 cosTheta (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta))) (*.f32 cosTheta c))) #s(literal -1 binary32))))
	10.7%	(-.f32 #s(literal 1 binary32) c)
	53.6%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))) (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) c)))
	95.5%	(.f32 (-.f32 #s(literal 1 binary32) c) (/.f32 cosTheta (+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) c)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 c c))))))
	93.2%	(*.f32 cosTheta (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 3/2 binary32)))
	95.8%	(.f32 cosTheta (/.f32 (-.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta) (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) (.f32 cosTheta cosTheta))))
✓	93.1%	(*.f32 cosTheta (sqrt.f32 (PI.f32)))
	10.7%	#s(literal 1 binary32)

Compiler

Compiled 3 681 to 1 187 computations (67.8% saved)

regimes355.0ms (1.9%)

Memory

15.6MiB live, 401.4MiB allocated

Counts

105 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

202.0ms	cosTheta
29.0ms	(+.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))))
29.0ms	c
27.0ms	(/.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)))))
27.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta`
98.4%	1	`c`
98.4%	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)))))`
98.4%	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))))`
98.4%	1	`(+.f32 #s(literal 1 binary32) c)`
98.4%	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)

regimes150.0ms (0.8%)

Memory

5.0MiB live, 202.1MiB allocated

Counts

93 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

52.0ms	(+.f32 #s(literal 1 binary32) c)
48.0ms	c
31.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta`
98.4%	1	`c`
98.4%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes90.0ms (0.5%)

Memory

14.4MiB live, 208.2MiB allocated

Counts

91 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

29.0ms	c
26.0ms	cosTheta
21.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
97.8%	1	`cosTheta`
97.8%	1	`c`
97.8%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes97.0ms (0.5%)

Memory

6.3MiB live, 166.5MiB allocated

Counts

80 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

42.0ms	c
22.0ms	cosTheta
19.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
97.7%	1	`c`
97.7%	1	`(+.f32 #s(literal 1 binary32) c)`
97.7%	1	`cosTheta`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes127.0ms (0.7%)

Memory

-44.5MiB live, 123.3MiB allocated

Counts

77 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

52.0ms	c
40.0ms	cosTheta
24.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
97.3%	1	`c`
97.3%	1	`(+.f32 #s(literal 1 binary32) c)`
97.3%	1	`cosTheta`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes94.0ms (0.5%)

Memory

-21.5MiB live, 94.7MiB allocated

Counts

75 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

28.0ms	(+.f32 #s(literal 1 binary32) c)
20.0ms	cosTheta
19.0ms	c

Results

Accuracy	Segments	Branch
97.3%	1	`c`
97.3%	1	`(+.f32 #s(literal 1 binary32) c)`
97.3%	1	`cosTheta`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes65.0ms (0.4%)

Memory

0.3MiB live, 118.1MiB allocated

Counts

73 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

20.0ms	c
20.0ms	cosTheta
15.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
96.2%	1	`cosTheta`
96.2%	1	`c`
96.2%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes70.0ms (0.4%)

Memory

-1.2MiB live, 120.2MiB allocated

Counts

63 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

20.0ms	cosTheta
19.0ms	c
13.0ms	(+.f32 #s(literal 1 binary32) c)

Results

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes50.0ms (0.3%)

Memory

10.6MiB live, 86.5MiB allocated

Counts

48 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

21.0ms	c
14.0ms	cosTheta
10.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
95.8%	1	`cosTheta`
95.8%	1	`c`
95.8%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes75.0ms (0.4%)

Memory

-12.0MiB live, 68.2MiB allocated

Counts

47 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	c
12.0ms	cosTheta
10.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
95.8%	1	`cosTheta`
95.8%	1	`c`
95.8%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes16.0ms (0.1%)

Memory

37.3MiB live, 37.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
95.3%	1	`cosTheta`
95.3%	1	`c`
95.3%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes14.0ms (0.1%)

Memory

-6.7MiB live, 30.6MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
93.1%	1	`cosTheta`
93.1%	1	`c`
93.1%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

Memory

-20.5MiB live, 18.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
10.7%	1	`cosTheta`
10.7%	1	`c`
10.7%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

2 calls:

1.0ms	c
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
10.7%	1	`c`
10.7%	1	`cosTheta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify26.0ms (0.1%)

Memory

-10.0MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Rules

178×	`unsub-neg_binary32`
100×	`neg-mul-1_binary32`
74×	`distribute-lft-neg-in_binary32`
72×	`+-commutative_binary32`
60×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	274
1	154	274
2	193	274
3	220	274
4	250	274
5	285	274
6	381	274
7	487	274
8	543	274

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness5.5s (29.9%)

Memory

52.1MiB live, 5 432.3MiB allocated

Rules

8 950×	`accelerator-lowering-fma.f32`
8 950×	`accelerator-lowering-fma.f64`
7 886×	`accelerator-lowering-fma.f32`
7 886×	`accelerator-lowering-fma.f64`
6 772×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
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
0	47	342
1	318	330
2	2972	330
0	8837	316
0	713	7782
1	2156	7371
0	8289	7107
0	45	317
1	291	296
2	2849	296
0	8220	274
0	30	175
1	196	166
2	1738	162
0	8672	155
0	1073	16377
1	3396	15236
0	8433	14660
0	1670	19960
1	5443	19233
0	8375	18595
0	1133	16073
1	3623	15395
0	8195	14727

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
1×	iter limit
1×	saturated

Compiler

Compiled 541 to 288 computations (46.8% saved)

preprocess75.0ms (0.4%)

Memory: -9.4MiB live, 227.8MiB allocated
Compiler: Compiled 608 to 220 computations (63.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	90	274
1	154	274
2	193	274
3	220	274
4	250	274
5	285	274
6	381	274
7	487	274
8	543	274

Iter	Nodes	Cost
0	90	274
1	154	274
2	193	274
3	220	274
4	250	274
5	285	274
6	381	274
7	487	274
8	543	274

analyze26.0ms (0.1%)

sample2.3s (12.3%)

preprocess255.0ms (1.4%)

explain288.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify174.0ms (0.9%)

localize120.0ms (0.7%)

series73.0ms (0.4%)

rewrite465.0ms (2.5%)

simplify444.0ms (2.4%)

eval65.0ms (0.4%)

prune98.0ms (0.5%)

simplify329.0ms (1.8%)

localize195.0ms (1.1%)

series95.0ms (0.5%)

rewrite561.0ms (3%)

simplify613.0ms (3.3%)

eval215.0ms (1.2%)

prune327.0ms (1.8%)

simplify584.0ms (3.2%)

localize435.0ms (2.4%)

series94.0ms (0.5%)

rewrite442.0ms (2.4%)

simplify639.0ms (3.5%)

eval268.0ms (1.5%)

prune353.0ms (1.9%)

simplify393.0ms (2.1%)

localize217.0ms (1.2%)

series76.0ms (0.4%)

rewrite400.0ms (2.2%)

simplify564.0ms (3.1%)

eval264.0ms (1.4%)

prune258.0ms (1.4%)

regimes355.0ms (1.9%)

regimes150.0ms (0.8%)

regimes90.0ms (0.5%)

regimes97.0ms (0.5%)

regimes127.0ms (0.7%)

regimes94.0ms (0.5%)

regimes65.0ms (0.4%)

regimes70.0ms (0.4%)

regimes50.0ms (0.3%)

regimes75.0ms (0.4%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes8.0ms (0%)

regimes3.0ms (0%)

simplify26.0ms (0.1%)

soundness5.5s (29.9%)

preprocess75.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	90	274
1	154	274
2	193	274
3	220	274
4	250	274
5	285	274
6	381	274
7	487	274
8	543	274