Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze36.0ms (0.7%)

Memory

-12.7MiB live, 31.3MiB allocated; 10ms collecting garbage

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)

sample1.6s (32.4%)

Memory

37.0MiB live, 1 621.1MiB allocated; 284ms collecting garbage

Samples

1.2s	8 256×	0	valid
10.0ms	72×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 966.0ms

ival-div: 191.0ms (19.8% of total)

ival-mult: 171.0ms (17.7% of total)

ival-add: 139.0ms (14.4% of total)

ival-sqrt: 112.0ms (11.6% of total)

ival-sub: 87.0ms (9% of total)

ival-pi: 74.0ms (7.7% of total)

ival-exp: 67.0ms (6.9% of total)

ival-neg: 66.0ms (6.8% of total)

const: 45.0ms (4.7% of total)

exact: 8.0ms (0.8% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 2.0ms (0.2% of total)

ival-and: 1.0ms (0.1% of total)

ival-<: 1.0ms (0.1% of total)

Bogosity

explain220.0ms (4.4%)

Memory

22.3MiB live, 399.8MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
1	-	-	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))`
0	-	-	`(sqrt.f32 (PI.f32))`
0	-	-	`(PI.f32)`
0	-	-	`(*.f32 (neg.f32 cosTheta) cosTheta)`
0	-	-	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
0	-	-	`(+.f32 #s(literal 1 binary32) c)`
0	-	-	`cosTheta`
0	-	-	`(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))`
0	-	-	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
0	-	-	`c`
0	-	-	`(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))`
0	-	-	`(-.f32 #s(literal 1 binary32) 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	2	0
↳	`(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)`	overflow	3
↳	`(.f32 (.f32 (/.f32 #s(literal 1 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	2
↳	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))`	overflow	2
↳	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 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	2
`*.f32`	`(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	3	0
-	0	253

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	3	0	0
-	0	0	253

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms

512×

valid

Compiler

Compiled 281 to 58 computations (79.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 15.0ms (28% of total)

ival-mult: 9.0ms (16.8% of total)

ival-add: 8.0ms (14.9% of total)

ival-sqrt: 6.0ms (11.2% of total)

ival-sub: 5.0ms (9.3% of total)

ival-exp: 4.0ms (7.5% of total)

ival-pi: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% of total)

ival-true: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

preprocess245.0ms (4.9%)

Memory

-29.5MiB live, 208.9MiB allocated; 123ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	158
1	144	142
2	491	134
3	2194	132
0	18	25
0	33	25
1	60	23
2	173	22
3	742	22
4	3742	22
0	8784	21

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Compiler

Compiled 25 to 18 computations (28% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(/.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)))))

Status

Accuracy

Program

▶

97.1%

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

Compiler

Compiled 25 to 18 computations (28% saved)

series53.0ms (1.1%)

Memory

-28.2MiB live, 63.2MiB allocated; 22ms collecting garbage

Counts

18 → 111

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	cosTheta	@	0	((/ 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))
11.0ms	cosTheta	@	-inf	((/ 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))
9.0ms	cosTheta	@	inf	((/ 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))
6.0ms	c	@	-inf	((/ 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))
3.0ms	c	@	0	((/ 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))

rewrite151.0ms (3%)

Memory

21.5MiB live, 168.6MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	634	6295
0	657	5601
0	3783	5289

Stop Event

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

Counts

129 → 177

Calls

Call 1

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

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

eval21.0ms (0.4%)

Memory: -6.2MiB live, 39.8MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 637 to 1 127 computations (87% saved)

prune20.0ms (0.4%)

Memory

-2.2MiB live, 44.8MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	167	21	188
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	168	21	189

Accuracy

99.3%

Counts

189 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.8%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))) (.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta))) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta))))))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	97.0%	(/.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)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
	96.4%	(/.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)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
▶	95.0%	(/.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)) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32)))))
	96.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	90.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))))
	96.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (+.f32 (+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) c) #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	96.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (+.f32 (+.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) cosTheta (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) c) #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	91.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
	56.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
▶	57.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))))
▶	4.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) c))
	97.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (fma.f32 (-.f32 (.f32 (neg.f32 cosTheta) (fma.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32) (neg.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	97.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 (neg.f32 cosTheta) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))) (*.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	96.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	92.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))

Compiler

Compiled 1 970 to 1 170 computations (40.6% saved)

series61.0ms (1.2%)

Memory

-0.7MiB live, 97.1MiB allocated; 7ms collecting garbage

Counts

52 → 338

Calls

Call 1

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

Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* 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)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* 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)))))))))))))
#s(approx (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (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)))
#s(approx (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)))
#s(approx (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole 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)))))))))))) cosTheta)))
#s(approx (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)))
#s(approx (* 1 (sqrt (+ (* -2 cosTheta) 1))) #s(hole binary32 1))
#s(approx (* 1 (sqrt (+ (* -2 cosTheta) 1))) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (* 1 (sqrt (+ (* -2 cosTheta) 1))) #s(hole binary32 (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))))
#s(approx (* 1 (sqrt (+ (* -2 cosTheta) 1))) #s(hole binary32 (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))))
#s(approx (sqrt (+ (* -2 cosTheta) 1)) #s(hole binary32 1))
#s(approx (sqrt (+ (* -2 cosTheta) 1)) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (sqrt (+ (* -2 cosTheta) 1)) #s(hole binary32 (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))))
#s(approx (sqrt (+ (* -2 cosTheta) 1)) #s(hole binary32 (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))))
#s(approx (+ (* -2 cosTheta) 1) #s(hole binary32 1))
#s(approx (+ (* -2 cosTheta) 1) #s(hole binary32 (+ 1 (* -2 cosTheta))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (* (sqrt (PI)) cosTheta) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* 1/2 (pow cosTheta 2)) 1)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))
#s(approx (* (neg cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* 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)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* 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)))))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (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)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole 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)))))))))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ 1 cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* -1 cosTheta)) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) cosTheta)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 1))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (+ 1 (* -2 cosTheta))))
#s(approx (- 1 cosTheta) #s(hole binary32 1))
#s(approx (- 1 cosTheta) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* 1/2 (pow cosTheta 2)) 1)))))
#s(approx (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))
#s(approx (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) #s(hole binary32 -1))
#s(approx (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) #s(hole binary32 (- (* 1/2 (pow cosTheta 2)) 1)))
#s(approx (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) #s(hole binary32 (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))
#s(approx (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) #s(hole binary32 (* 1/2 (pow cosTheta 2))))
#s(approx (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2))))))
#s(approx (+ (* -1/6 (* cosTheta cosTheta)) 1/2) #s(hole binary32 1/2))
#s(approx (+ (* -1/6 (* cosTheta cosTheta)) 1/2) #s(hole binary32 (+ 1/2 (* -1/6 (pow cosTheta 2)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
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#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))))
#s(approx (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) #s(hole binary32 c))
#s(approx (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) #s(hole binary32 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c))))))
#s(approx (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) #s(hole binary32 (* -1 c)))
#s(approx (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) #s(hole binary32 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1))))
#s(approx (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) #s(hole binary32 -1))
#s(approx (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) #s(hole binary32 (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)) 1) c))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -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))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -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))))
#s(approx (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -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))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -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))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))))
#s(approx (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI))))) c)) 1)))))
#s(approx (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) #s(hole binary32 (* -1 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (+ 1 (* -2 cosTheta)) (PI)))) (/ 1 c)))))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	cosTheta	@	inf	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)) (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) (+ (* -1/6 (* cosTheta cosTheta)) 1/2) -1/6 (* cosTheta cosTheta) 1/2 (/ 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)))) (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c) (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (+ (* -2 cosTheta) 1) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))
11.0ms	cosTheta	@	-inf	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)) (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) (+ (* -1/6 (* cosTheta cosTheta)) 1/2) -1/6 (* cosTheta cosTheta) 1/2 (/ 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)))) (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c) (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (+ (* -2 cosTheta) 1) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))
9.0ms	cosTheta	@	0	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)) (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) (+ (* -1/6 (* cosTheta cosTheta)) 1/2) -1/6 (* cosTheta cosTheta) 1/2 (/ 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)))) (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c) (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (+ (* -2 cosTheta) 1) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))
6.0ms	c	@	-inf	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)) (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) (+ (* -1/6 (* cosTheta cosTheta)) 1/2) -1/6 (* cosTheta cosTheta) 1/2 (/ 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)))) (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c) (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (+ (* -2 cosTheta) 1) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))
5.0ms	c	@	0	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (exp (* (neg cosTheta) cosTheta)) (+ (* (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* cosTheta cosTheta)) 1) (- (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) 1) (* (+ (* -1/6 (* cosTheta cosTheta)) 1/2) (* cosTheta cosTheta)) (+ (* -1/6 (* cosTheta cosTheta)) 1/2) -1/6 (* cosTheta cosTheta) 1/2 (/ 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)))) (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c) (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (+ (* -2 cosTheta) 1) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))

rewrite249.0ms (5%)

Memory

25.1MiB live, 299.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1249	20187
0	1332	17263
1	7279	17263
0	8560	16818

Stop Event

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

Counts

390 → 584

Calls

Call 1

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

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

eval98.0ms (2%)

Memory: -10.3MiB live, 134.4MiB allocated; 43ms collecting garbage
Compiler: Compiled 34 077 to 3 640 computations (89.3% saved)

prune35.0ms (0.7%)

Memory

-24.3MiB live, 74.3MiB allocated; 10ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	617	15	632
Fresh	9	7	16
Picked	4	1	5
Done	0	0	0
Total	630	23	653

Accuracy

99.4%

Counts

653 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
	95.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))))
	94.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
▶	55.0%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (PI.f32))) (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) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))))
	97.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	96.4%	(/.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)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	90.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	94.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32)))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))))
	91.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
	56.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 (+.f32 (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
▶	56.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) cosTheta) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))))
	54.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 #s(approx (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) c)) cosTheta (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))) #s(literal 1 binary32)) c))))
▶	50.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 #s(approx (- (neg (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))
✓	4.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) c))
	90.6%	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))))) #s(literal -1 binary32)))
	88.6%	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
▶	97.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (fma.f32 (-.f32 (.f32 (neg.f32 cosTheta) (fma.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32) (neg.f32 (.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (pow.f32 (PI.f32) #s(literal 3/2 binary32))))))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	97.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 (neg.f32 cosTheta) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))) (*.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	96.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
▶	92.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))

Compiler

Compiled 2 047 to 1 238 computations (39.5% saved)

series198.0ms (4%)

Memory

8.5MiB live, 238.1MiB allocated; 22ms collecting garbage

Counts

75 → 491

Calls

Call 1

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

Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* 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)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* 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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#s(approx (* (+ (* (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
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#s(approx (+ (* (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(hole binary32 (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* cosTheta (- (+ (* -1 (* cosTheta (- (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* 1/2 (sqrt (PI)))) (* -3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* -3/2 (sqrt (PI))))))))))
#s(approx (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) #s(hole binary32 (* -1 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))
#s(approx (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) #s(hole binary32 (+ (* -1 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* cosTheta (- (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)) (* -3/2 (sqrt (PI))))))))
#s(approx (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) #s(hole binary32 (+ (* -1 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* cosTheta (- (+ (* -1 (* cosTheta (- (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* 1/2 (sqrt (PI)))) (* -3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* -3/2 (sqrt (PI))))))))
#s(approx (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) #s(hole binary32 (- (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)) (* -3/2 (sqrt (PI))))))
#s(approx (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) #s(hole binary32 (- (+ (* -1 (* cosTheta (- (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* 1/2 (sqrt (PI)))) (* -3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))) (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* -3/2 (sqrt (PI))))))
#s(approx (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) #s(hole binary32 (* -1 (* cosTheta (- (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* 1/2 (sqrt (PI)))) (* -3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (* (sqrt (PI)) cosTheta) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (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)))
#s(approx (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) #s(hole binary32 (/ (- (* c (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))) (* -1 (sqrt (/ 1 (PI))))) cosTheta)))
#s(approx (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) #s(hole binary32 (/ (- (* cosTheta (- (* c (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (* -1 (* c (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))) (* -1 (sqrt (/ 1 (PI))))) cosTheta)))
#s(approx (neg (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c)) #s(hole binary32 (/ (- (* cosTheta (- (* cosTheta (- (* c (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI))))))) (* -1 (* c (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))) (* -1 (* c (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))) (* -1 (sqrt (/ 1 (PI))))) cosTheta)))
#s(approx (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) #s(hole binary32 (* -1 (* (/ 1 cosTheta) (sqrt (/ 1 (PI)))))))
#s(approx (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) #s(hole binary32 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* c (* cosTheta (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))))) cosTheta)))
#s(approx (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) #s(hole binary32 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (* c (* cosTheta (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))) (* -1 (* c (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c)))))))) cosTheta)))
#s(approx (* (- (neg (/ (+ (* (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) c) #s(hole binary32 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (* c (+ 1 (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (/ 1 c))))) (* cosTheta (+ (* -1 (* c (* cosTheta (+ (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* (/ 1 c) (sqrt (/ 1 (PI)))))))) (* -1 (* c (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1/2 (* (/ 1 c) (sqrt (/ 1 (PI))))))))))))) cosTheta)))
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Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	cosTheta	@	inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 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rewrite465.0ms (9.3%)

Memory

39.9MiB live, 423.9MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2642	51592
0	2763	49400
0	8264	48487

Stop Event

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

Counts

566 → 628

Calls

Call 1

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

eval238.0ms (4.8%)

Memory: 14.1MiB live, 238.0MiB allocated; 38ms collecting garbage
Compiler: Compiled 136 705 to 6 740 computations (95.1% saved)

prune109.0ms (2.2%)

Memory

-21.2MiB live, 125.3MiB allocated; 16ms collecting garbage

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1 043	14	1 057
Fresh	3	14	17
Picked	2	3	5
Done	0	1	1
Total	1 048	32	1 080

Accuracy

99.6%

Counts

1 080 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
	95.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))))
	94.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
	49.4%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))) #s(approx (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
	55.0%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))) #s(approx ( (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (PI.f32)) (/.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (.f32 cosTheta (PI.f32)))) cosTheta))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32))))))
	55.1%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(approx (* (+ c 1) (+ c 1)) #s(literal 1 binary32)) (.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32))) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))))
▶	54.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta cosTheta))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))))
	49.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (PI.f32))) (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) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))))
	97.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	96.4%	(/.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)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	90.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
▶	94.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32)))))
▶	91.0%	(/.f32 #s(literal 1 binary32) #s(approx (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))))
✓	56.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) cosTheta) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))))
	54.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 #s(approx (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) c)) cosTheta (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))) #s(literal 1 binary32)) c))))
	51.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 #s(approx (- (neg (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) c))))
✓	50.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 #s(approx (- (neg (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))
	50.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 #s(approx (- (neg (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg.f32 (.f32 #s(approx (/ (/ 1 c) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 c cosTheta))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))
✓	4.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) c))
	90.6%	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))))) #s(literal -1 binary32)))
▶	88.6%	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
	56.6%	#s(approx (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32))))))
	57.0%	#s(approx (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (-.f32 (fma.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32))))) (.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 cosTheta cosTheta)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
	97.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (fma.f32 #s(approx (- ( (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) (-.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))))) cosTheta (.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	96.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
✓	92.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	31.6%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (pow.f32 c #s(literal -3 binary32)) (sqrt.f32 (PI.f32)) (+.f32 (/.f32 (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))))) (.f32 #s(literal -3/2 binary32) (PI.f32)))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (.f32 c c)) (+.f32 (/.f32 (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -3/2 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))))))) (pow.f32 c #s(literal 3 binary32))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (.f32 (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))) c))))))) cosTheta))
	31.7%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -3/2 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)))))))) c) (.f32 cosTheta (+.f32 (PI.f32) (.f32 cosTheta (fma.f32 #s(literal -2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (.f32 #s(literal 3/2 binary32) (PI.f32)))))))))) c) (.f32 (.f32 cosTheta cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (.f32 (.f32 cosTheta (fma.f32 #s(literal -2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32)))))) c) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (.f32 (PI.f32) (PI.f32))))))) cosTheta))
	29.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (fma.f32 #s(literal -1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -3/2 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) cosTheta))) cosTheta))))))

Compiler

Compiled 5 403 to 2 384 computations (55.9% saved)

series114.0ms (2.3%)

Memory

25.7MiB live, 164.8MiB allocated; 23ms collecting garbage

Counts

57 → 445

Calls

Call 1

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

Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
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Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	cosTheta	@	inf	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (+ (* (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1)) 1) (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1) (* (* cosTheta cosTheta) 1/2) 1/2 (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 cosTheta) (/ 1 (sqrt (PI)))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/ (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* cosTheta cosTheta)) (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* 2 (/ cosTheta (PI))) 2 (/ cosTheta (PI)) (/ 1 (PI)) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (+ (* cosTheta -2) 1) (PI)) (+ (* cosTheta -2) 1) (exp (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1)) (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1) (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) -1)
17.0ms	cosTheta	@	-inf	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (+ (* (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1)) 1) (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1) (* (* cosTheta cosTheta) 1/2) 1/2 (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 cosTheta) (/ 1 (sqrt (PI)))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/ (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* cosTheta cosTheta)) (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* 2 (/ cosTheta (PI))) 2 (/ cosTheta (PI)) (/ 1 (PI)) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (+ (* cosTheta -2) 1) (PI)) (+ (* cosTheta -2) 1) (exp (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1)) (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1) (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) -1)
13.0ms	cosTheta	@	0	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (+ (* (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1)) 1) (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1) (* (* cosTheta cosTheta) 1/2) 1/2 (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 cosTheta) (/ 1 (sqrt (PI)))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/ (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* cosTheta cosTheta)) (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* 2 (/ cosTheta (PI))) 2 (/ cosTheta (PI)) (/ 1 (PI)) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (+ (* cosTheta -2) 1) (PI)) (+ (* cosTheta -2) 1) (exp (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1)) (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1) (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) -1)
5.0ms	c	@	0	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (+ (* (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1)) 1) (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1) (* (* cosTheta cosTheta) 1/2) 1/2 (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 cosTheta) (/ 1 (sqrt (PI)))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/ (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* cosTheta cosTheta)) (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* 2 (/ cosTheta (PI))) 2 (/ cosTheta (PI)) (/ 1 (PI)) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (+ (* cosTheta -2) 1) (PI)) (+ (* cosTheta -2) 1) (exp (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1)) (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1) (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) -1)
4.0ms	c	@	-inf	((/ 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (sqrt (+ (* -2 cosTheta) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* -2 cosTheta) 1))) (sqrt (+ (* -2 cosTheta) 1)) (+ (* -2 cosTheta) 1) -2 cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (+ (* (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1)) 1) (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1) (* (* cosTheta cosTheta) 1/2) 1/2 (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (* (/ 1 cosTheta) (/ 1 (sqrt (PI)))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/ (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* cosTheta cosTheta)) (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* 2 (/ cosTheta (PI))) 2 (/ cosTheta (PI)) (/ 1 (PI)) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (/ (+ (* cosTheta -2) 1) (PI)) (+ (* cosTheta -2) 1) (exp (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1)) (* (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) -1) (log (+ 1 (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (+ c (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) -1)

rewrite347.0ms (7%)

Memory

25.8MiB live, 485.2MiB allocated; 89ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1939	34942
0	2017	32657
0	8419	31984

Stop Event

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

Counts

502 → 572

Calls

Call 1

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

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

eval104.0ms (2.1%)

Memory: -20.9MiB live, 255.9MiB allocated; 58ms collecting garbage
Compiler: Compiled 56 119 to 3 673 computations (93.5% saved)

prune113.0ms (2.3%)

Memory

-23.7MiB live, 240.6MiB allocated; 99ms collecting garbage

Pruning

35 alts after pruning (27 fresh and 8 done)

	Pruned	Kept	Total
New	706	8	714
Fresh	4	19	23
Picked	1	4	5
Done	0	4	4
Total	711	35	746

Accuracy

99.6%

Counts

746 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
	95.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))))
	49.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) (/.f32 cosTheta (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta cosTheta))) #s(approx (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	50.0%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(approx (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (/.f32 #s(literal -1 binary32) (PI.f32))) (.f32 cosTheta cosTheta))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32))))))
	49.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))))
	54.4%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) #s(approx (/ (- (* 2 (/ cosTheta (PI))) (/ 1 (PI))) (* cosTheta cosTheta)) (/.f32 (-.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32)))) cosTheta))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32))))))
	97.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (PI.f32))) (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) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))))
	97.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	95.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(approx (+ (* (* cosTheta cosTheta) (- (* (* cosTheta cosTheta) 1/2) 1)) 1) #s(literal 1 binary32))))))
	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(approx ( 1 (sqrt (+ (* -2 cosTheta) 1))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32))))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))))
	96.4%	(/.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)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	90.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	95.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(literal 1 binary32)))))
✓	94.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32)))))
	91.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (+ 1 c) #s(literal 1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
	91.8%	(/.f32 #s(literal 1 binary32) #s(approx (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
✓	91.0%	(/.f32 #s(literal 1 binary32) #s(approx (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) #s(literal 1 binary32))))
✓	56.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) cosTheta) #s(literal 1 binary32)) c)) #s(literal 1 binary32)) c))))
	54.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 #s(approx (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c) (/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) c)) cosTheta (.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))) #s(literal 1 binary32)) c))))
	51.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 #s(approx (- (neg (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg.f32 (/.f32 (.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) c))))
✓	50.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 #s(approx (- (neg (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))
	50.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 #s(approx (- (neg (/ (+ ( (sqrt (/ (+ (* -2 cosTheta) 1) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) 1) c)) 1) (neg.f32 (.f32 #s(approx (/ (/ 1 c) cosTheta) (/.f32 #s(literal 1 binary32) (.f32 c cosTheta))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))
✓	4.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) c))
	90.6%	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))))) #s(literal -1 binary32)))
✓	88.6%	(exp.f32 (.f32 (log1p.f32 (+.f32 c (.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32))))) #s(literal -1 binary32)))
	56.6%	#s(approx (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32))))))
	57.0%	#s(approx (/ 1 (/ (- (* (+ c 1) (+ c 1)) (* (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))))) (- (+ c 1) (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta)))))) (-.f32 (fma.f32 c (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32))))) (.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (.f32 cosTheta cosTheta)) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32))))))
	97.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (fma.f32 #s(approx (- ( (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) (-.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))))) cosTheta (.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	96.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
✓	92.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	31.6%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (pow.f32 c #s(literal -3 binary32)) (sqrt.f32 (PI.f32)) (+.f32 (/.f32 (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))))) (.f32 #s(literal -3/2 binary32) (PI.f32)))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (.f32 c c)) (+.f32 (/.f32 (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -3/2 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))))))) (pow.f32 c #s(literal 3 binary32))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (.f32 (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 2 binary32) (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))) c))))))) cosTheta))
	31.7%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -3/2 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)))))))) c) (.f32 cosTheta (+.f32 (PI.f32) (.f32 cosTheta (fma.f32 #s(literal -2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (.f32 #s(literal 2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (.f32 #s(literal 3/2 binary32) (PI.f32)))))))))) c) (.f32 (.f32 cosTheta cosTheta) (+.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (.f32 (.f32 cosTheta (fma.f32 #s(literal -2 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32)))))) c) (.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (.f32 (PI.f32) (PI.f32))))))) cosTheta))
	29.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (+ (* (- (* (neg cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2)))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) (pow (PI) 3/2)))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) (pow (PI) 3/2))))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (fma.f32 #s(literal -1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -3/2 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) cosTheta))) cosTheta))))))

Compiler

Compiled 7 169 to 1 932 computations (73.1% saved)

regimes135.0ms (2.7%)

Memory

-0.7MiB live, 188.6MiB allocated; 14ms collecting garbage

Counts

59 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

38.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
34.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
17.0ms	c
16.0ms	cosTheta
14.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
97.9%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.9%	1	`(+.f32 #s(literal 1 binary32) c)`
97.9%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.9%	1	`cosTheta`
97.9%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes69.0ms (1.4%)

Memory

-3.6MiB live, 137.9MiB allocated; 17ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

13.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
12.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
12.0ms	(+.f32 #s(literal 1 binary32) c)
10.0ms	c
10.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.6%	1	`(+.f32 #s(literal 1 binary32) c)`
97.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.6%	1	`c`
97.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.6%	1	`cosTheta`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes39.0ms (0.8%)

Memory

43.5MiB live, 89.8MiB allocated; 4ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

8.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
6.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
6.0ms	c
6.0ms	cosTheta
6.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
97.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.2%	1	`(+.f32 #s(literal 1 binary32) c)`
97.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.2%	1	`cosTheta`
97.2%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes35.0ms (0.7%)

Memory

-6.4MiB live, 83.7MiB allocated; 11ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

9.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
7.0ms	c
5.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
5.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.3%	1	`(+.f32 #s(literal 1 binary32) c)`
96.3%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
96.3%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.3%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.3%	1	`cosTheta`
96.3%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes19.0ms (0.4%)

Memory

-12.6MiB live, 42.0MiB allocated; 5ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	cosTheta
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
3.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
3.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
2.0ms	c

Results

Accuracy	Segments	Branch
92.5%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
92.5%	1	`(+.f32 #s(literal 1 binary32) c)`
92.5%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
92.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
92.5%	1	`cosTheta`
92.5%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes8.0ms (0.2%)

Memory

-24.8MiB live, 22.4MiB allocated; 1ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

2.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
1.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
1.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
1.0ms	c
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
4.9%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
4.9%	1	`(+.f32 #s(literal 1 binary32) c)`
4.9%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
4.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
4.9%	1	`cosTheta`
4.9%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

simplify52.0ms (1%)

Memory

33.8MiB live, 77.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	186
1	93	180
2	214	177
3	798	177
4	3944	177

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations82.0ms (1.6%)

Memory

-11.4MiB live, 89.3MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 186 to 58 computations (68.8% saved)

preprocess55.0ms (1.1%)

Memory: -8.2MiB live, 38.6MiB allocated; 3ms collecting garbage
Compiler: Compiled 422 to 152 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze36.0ms (0.7%)

sample1.6s (32.4%)

explain220.0ms (4.4%)

preprocess245.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

series53.0ms (1.1%)

rewrite151.0ms (3%)

eval21.0ms (0.4%)

prune20.0ms (0.4%)

series61.0ms (1.2%)

rewrite249.0ms (5%)

eval98.0ms (2%)

prune35.0ms (0.7%)

series198.0ms (4%)

rewrite465.0ms (9.3%)

eval238.0ms (4.8%)

prune109.0ms (2.2%)

series114.0ms (2.3%)

rewrite347.0ms (7%)

eval104.0ms (2.1%)

prune113.0ms (2.3%)

regimes135.0ms (2.7%)

regimes69.0ms (1.4%)

regimes39.0ms (0.8%)

regimes35.0ms (0.7%)

regimes19.0ms (0.4%)

regimes8.0ms (0.2%)

simplify52.0ms (1%)

derivations82.0ms (1.6%)

preprocess55.0ms (1.1%)

end0.0ms (0%)

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