Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze18.0ms (0.5%)

Memory

5.7MiB live, 51.8MiB allocated; 3ms 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)

sample981.0ms (26.4%)

Memory

37.6MiB live, 2 441.1MiB allocated; 207ms collecting garbage

Samples

687.0ms	8 254×	0	valid
5.0ms	64×	0	invalid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 479.0ms

ival-mult!: 108.0ms (22.5% of total)

ival-sqrt: 86.0ms (17.9% of total)

ival-div!: 83.0ms (17.3% of total)

ival-exp: 72.0ms (15% of total)

ival-add!: 48.0ms (10% of total)

ival-sub!: 40.0ms (8.3% of total)

ival-neg: 39.0ms (8.1% of total)

adjust: 1.0ms (0.2% of total)

ival-<: 1.0ms (0.2% of total)

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

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

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

Bogosity

preprocess49.0ms (1.3%)

Memory

-15.1MiB live, 31.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	158
1	188	142
2	789	126
3	5216	126

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

97.6%

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

Compiler

Compiled 42 to 36 computations (14.3% saved)

series38.0ms (1%)

Memory

23.3MiB live, 81.0MiB allocated; 7ms collecting garbage

Counts

18 → 100

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

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	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))
3.0ms	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))
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))
1.0ms	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))

rewrite138.0ms (3.7%)

Memory

-10.2MiB live, 225.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	623	6146
0	647	5455
0	3776	5150

Stop Event

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

Counts

118 → 166

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

eval18.0ms (0.5%)

Memory: 5.7MiB live, 51.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 4 260 to 1 080 computations (74.6% saved)

prune13.0ms (0.4%)

Memory

-9.3MiB live, 38.0MiB allocated; 3ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	136	15	151
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	15	152

Accuracy

99.3%

Counts

152 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	97.2%	(/.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)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	93.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.2%	(/.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 (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))))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	96.2%	(/.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))))
	97.7%	(/.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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32))))
	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 (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)))
▶	97.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) c))))
	93.1%	(/.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))))))
	57.5%	(/.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) (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 cosTheta c)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 #s(literal 1 binary32) c))) c)))
▶	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	98.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 (-.f32 (.f32 (neg.f32 cosTheta) (+.f32 (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 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32))) (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))))) (neg.f32 (.f32 (.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (.f32 (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32)) (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32))) (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))))) (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (.f32 (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32)) (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32))) (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))))) cosTheta) (.f32 (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32)) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
▶	97.0%	#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 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))

Compiler

Compiled 1 010 to 810 computations (19.8% saved)

series34.0ms (0.9%)

Memory

30.3MiB live, 81.3MiB allocated; 4ms collecting garbage

Counts

42 → 168

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	cosTheta	@	-inf	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (+ (neg (/ 1 (sqrt (PI)))) c) (neg (/ 1 (sqrt (PI)))) (/ 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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 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 (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))
6.0ms	cosTheta	@	0	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (+ (neg (/ 1 (sqrt (PI)))) c) (neg (/ 1 (sqrt (PI)))) (/ 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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 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 (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))
5.0ms	cosTheta	@	inf	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (+ (neg (/ 1 (sqrt (PI)))) c) (neg (/ 1 (sqrt (PI)))) (/ 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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 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 (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))
3.0ms	c	@	0	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (+ (neg (/ 1 (sqrt (PI)))) c) (neg (/ 1 (sqrt (PI)))) (/ 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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 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 (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))
3.0ms	c	@	-inf	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (+ (neg (/ 1 (sqrt (PI)))) c) (neg (/ 1 (sqrt (PI)))) (/ 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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 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 (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta))

rewrite170.0ms (4.6%)

Memory

-27.3MiB live, 253.5MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	859	9020
0	926	7808
0	5071	7435

Stop Event

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

Counts

210 → 371

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
#s(literal 1 binary32)
(fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) 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
(*.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 c #s(literal 1 binary32))
c
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
(.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta)
(fma.f32 (neg.f32 cosTheta) (*.f32 (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32)) (PI.f32))
(+.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) #s(literal 1 binary32))
(+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c)
(neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
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(+.f32 #s(literal 1 binary32) 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 (/.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)
#s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))
(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)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) c))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) c)))
(+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) c))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) c)
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #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 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #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 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) #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 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) #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 (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (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 (- (- 1 cosTheta) cosTheta))) (* (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 (- (- 1 cosTheta) cosTheta))) #s(hole binary32 1))
#s(approx (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) #s(hole binary32 (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))))
#s(approx (* 1 (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 (* -2 cosTheta))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#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 (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI)))))))))))
#s(approx (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) #s(hole binary32 (sqrt (PI))))
#s(approx (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) #s(hole binary32 (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))))
#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 (/ (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) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ c (* -1 (sqrt (/ 1 (PI))))))) cosTheta)))
#s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) cosTheta)))
#s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))) cosTheta)))
#s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) #s(hole binary32 (sqrt (/ 1 (PI)))))
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#s(approx (* 1 (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 (* 1 (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 (* 1 (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 (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) #s(hole binary32 (* -1 (* cosTheta (+ (* -1 (* (/ 1 cosTheta) (sqrt (PI)))) (* (PI) (- (+ 1 c) (sqrt (/ 1 (PI))))))))))
#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 (/ (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) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))
#s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (+ 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 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (+ 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 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (+ 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 (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) #s(hole binary32 (* -1 (* (sqrt (/ cosTheta (PI))) (* (sqrt -1) (sqrt 2))))))
#s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) #s(hole binary32 (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))))
#s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) #s(hole binary32 (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) #s(hole binary32 (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) #s(hole binary32 (* -1 (* cosTheta (- (* 2 (/ 1 (PI))) (/ 1 (* cosTheta (PI))))))))
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #s(hole binary32 (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #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 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #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 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #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 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) #s(hole binary32 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
#s(approx (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) #s(hole binary32 (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
#s(approx (+ c 1) #s(hole binary32 (+ 1 c)))
#s(approx c #s(hole binary32 c))
#s(approx (/ 1 c) #s(hole binary32 (/ 1 c)))
#s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))))))
#s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) #s(hole binary32 (+ (* -1 (* c (* (pow cosTheta 2) (PI)))) (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))))))
#s(approx (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) #s(hole binary32 (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))))
#s(approx (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) #s(hole binary32 (+ (sqrt (PI)) (+ (* -1 (* c (* cosTheta (PI)))) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))))))
#s(approx (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) #s(hole binary32 (* (PI) (- 1 (sqrt (/ 1 (PI)))))))
#s(approx (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) #s(hole binary32 (+ (* c (PI)) (* (PI) (- 1 (sqrt (/ 1 (PI))))))))
#s(approx (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) #s(hole binary32 (- 1 (sqrt (/ 1 (PI))))))
#s(approx (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) #s(hole binary32 (- (+ 1 c) (sqrt (/ 1 (PI))))))
#s(approx (+ (neg (/ 1 (sqrt (PI)))) c) #s(hole binary32 (* -1 (sqrt (/ 1 (PI))))))
#s(approx (+ (neg (/ 1 (sqrt (PI)))) c) #s(hole binary32 (- c (sqrt (/ 1 (PI))))))
#s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))
#s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #s(hole binary32 (/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)))
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #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 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #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 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) #s(hole binary32 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))))
#s(approx (+ c 1) #s(hole binary32 (* c (+ 1 (/ 1 c)))))
#s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) #s(hole binary32 (* -1 (* c (* (pow cosTheta 2) (PI))))))
#s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) #s(hole binary32 (* c (+ (* -1 (* (pow cosTheta 2) (PI))) (/ (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) c)))))
#s(approx (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) #s(hole binary32 (* -1 (* c (* cosTheta (PI))))))
#s(approx (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) #s(hole binary32 (* c (+ (* -1 (* cosTheta (PI))) (+ (* -1 (/ (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))) c)) (* (/ 1 c) (sqrt (PI))))))))
#s(approx (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) #s(hole binary32 (* c (PI))))
#s(approx (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) #s(hole binary32 (* c (+ (PI) (/ (* (PI) (- 1 (sqrt (/ 1 (PI))))) c)))))
#s(approx (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) #s(hole binary32 (* c (- (+ 1 (/ 1 c)) (* (/ 1 c) (sqrt (/ 1 (PI))))))))
#s(approx (+ (neg (/ 1 (sqrt (PI)))) c) #s(hole binary32 (* c (+ 1 (* -1 (* (/ 1 c) (sqrt (/ 1 (PI)))))))))
#s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(hole binary32 (* c (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) #s(hole binary32 (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))))
#s(approx (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 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 (/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 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 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))))
#s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) #s(hole binary32 (* -1 (* c (+ (* -1 (/ (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI))))))))) c)) (* (pow cosTheta 2) (PI)))))))
#s(approx (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) #s(hole binary32 (* -1 (* c (+ (* -1 (/ (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (- 1 (sqrt (/ 1 (PI)))))))) c)) (* cosTheta (PI)))))))
#s(approx (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) #s(hole binary32 (* -1 (* c (+ (* -1 (PI)) (* -1 (/ (* (PI) (- 1 (sqrt (/ 1 (PI))))) c)))))))
#s(approx (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) #s(hole binary32 (* -1 (* c (- (* -1 (/ (- 1 (sqrt (/ 1 (PI)))) c)) 1)))))
#s(approx (+ (neg (/ 1 (sqrt (PI)))) c) #s(hole binary32 (* -1 (* c (- (* (/ 1 c) (sqrt (/ 1 (PI)))) 1)))))
#s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #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 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (+.f32 c #s(literal 1 binary32))))
(pow.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (+.f32 c #s(literal 1 binary32))) #s(literal -1 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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))))
(/.f32 (-.f32 (.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (.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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (+.f32 c #s(literal 1 binary32))))
(/.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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))))))
(/.f32 (+.f32 (pow.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) #s(literal 3 binary32)) (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (-.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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (+.f32 c #s(literal 1 binary32))))))
(-.f32 (+.f32 c #s(literal 1 binary32)) (.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (+.f32 c #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (+.f32 c #s(literal 1 binary32)))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32)))
(+.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) c) #s(literal 1 binary32))
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cosTheta
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c
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#s(approx (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt.f32 (*.f32 #s(literal -2 binary32) cosTheta)))
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#s(approx (- (- 1 cosTheta) cosTheta) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 2 binary32)) cosTheta))
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#s(approx (+ (* (neg cosTheta) cosTheta) 1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
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eval64.0ms (1.7%)

Memory: 7.2MiB live, 120.7MiB allocated; 41ms collecting garbage
Compiler: Compiled 8 521 to 2 288 computations (73.1% saved)

prune30.0ms (0.8%)

Memory

-17.8MiB live, 78.1MiB allocated; 7ms collecting garbage

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	370	25	395
Fresh	8	2	10
Picked	4	1	5
Done	0	0	0
Total	382	28	410

Accuracy

99.7%

Counts

410 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	98.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	97.6%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
	93.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	97.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.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 c #s(literal 1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (/.f32 (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	93.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
▶	97.7%	(/.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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
	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 (/.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)))
	97.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 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 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) c))))
▶	97.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
	97.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) cosTheta)) (/.f32 #s(literal 2 binary32) (PI.f32))) cosTheta))) (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) c))))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) #s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))))
	58.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) #s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (.f32 c cosTheta))) #s(literal 1 binary32)) c))))))
	93.1%	(/.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))))))
	97.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32)) (PI.f32)) (neg.f32 cosTheta)) cosTheta)))
✓	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
▶	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (.f32 (.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32)) (PI.f32)) (neg.f32 cosTheta)) cosTheta)))
▶	98.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 (-.f32 (.f32 (neg.f32 cosTheta) (+.f32 (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 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32))) (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))))) (neg.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32))) (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))))))))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32) (neg.f32 (.f32 (.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32))) (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))))) cosTheta) (.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32)) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	97.0%	#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 #s(approx (+ (neg (/ 1 (sqrt (PI)))) c) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 #s(approx (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) #s(approx ( (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (*.f32 (PI.f32) c)) (sqrt.f32 (PI.f32))) cosTheta))
▶	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	96.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)) cosTheta)) cosTheta))
	96.6%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 cosTheta) (PI.f32) (fma.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32)) (/.f32 (neg.f32 (.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) cosTheta)) c))) c)) cosTheta))
	96.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (neg.f32 (.f32 (fma.f32 (PI.f32) cosTheta (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) c))) c))) cosTheta))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (PI.f32) (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) c)) c)))
	59.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)) (*.f32 cosTheta cosTheta))))

Compiler

Compiled 2 041 to 1 687 computations (17.3% saved)

series143.0ms (3.8%)

Memory

17.0MiB live, 302.6MiB allocated; 19ms collecting garbage

Counts

61 → 314

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
21.0ms	cosTheta	@	inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (neg cosTheta) cosTheta (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (* 1/2 (/ 1 (sqrt (PI)))) 1/2 (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))) (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (* (/ 1 (sqrt (PI))) -3/2) -3/2 (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (/ -1 (sqrt (PI))) c) (/ -1 (sqrt (PI))) -1 c (sqrt (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))) (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))) (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (neg cosTheta)) cosTheta)) (* (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (neg cosTheta)) cosTheta) (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (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 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/ (+ (* (neg cosTheta) cosTheta) 1) cosTheta) (+ (* (neg cosTheta) cosTheta) 1) (/ 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)))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) 1) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta))
18.0ms	cosTheta	@	-inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) (* (neg 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(neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (neg cosTheta) cosTheta (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))))) (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (* 1/2 (/ 1 (sqrt (PI)))) 1/2 (/ 1 (sqrt (PI))) 1 (sqrt (PI)) (PI) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))) (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (* (/ 1 (sqrt (PI))) -3/2) -3/2 (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (/ -1 (sqrt (PI))) c) (/ -1 (sqrt (PI))) -1 c (sqrt (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))) (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))) (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (sqrt (PI)) cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (neg cosTheta)) cosTheta)) (* (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (neg cosTheta)) cosTheta) (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (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 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/ (+ (* (neg cosTheta) cosTheta) 1) cosTheta) (+ (* (neg cosTheta) cosTheta) 1) (/ 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)))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) 1) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta))

rewrite286.0ms (7.7%)

Memory

-0.1MiB live, 569.5MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1761	39111
0	1878	35412
0	8072	34744

Stop Event

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

Counts

375 → 448

Calls

Call 1

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

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

eval123.0ms (3.3%)

Memory: -10.7MiB live, 222.9MiB allocated; 51ms collecting garbage
Compiler: Compiled 39 389 to 4 314 computations (89% saved)

prune42.0ms (1.1%)

Memory

24.0MiB live, 117.3MiB allocated; 7ms collecting garbage

Pruning

34 alts after pruning (30 fresh and 4 done)

	Pruned	Kept	Total
New	433	13	446
Fresh	5	17	22
Picked	2	3	5
Done	0	1	1
Total	440	34	474

Accuracy

99.9%

Counts

474 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	97.6%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
	93.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	97.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.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 c #s(literal 1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (/.f32 (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
✓	97.7%	(/.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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
	97.7%	(/.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 #s(approx (- (- 1 cosTheta) cosTheta) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (PI.f32))) #s(literal 1 binary32))))
	97.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.f32 #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))))) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
✓	97.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) c))))
	97.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (+.f32 (/.f32 (*.f32 (neg.f32 cosTheta) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) c))))
	54.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) #s(approx (/ (+ (* (neg cosTheta) cosTheta) 1) cosTheta) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) c))))
	97.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(approx (- (- 1 cosTheta) cosTheta) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (PI.f32))) #s(approx (/ (exp ( (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
	93.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(approx (- (- 1 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
▶	97.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.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 (/ (exp ( (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
▶	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) #s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))))
	58.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) #s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (.f32 c cosTheta))) #s(literal 1 binary32)) c))))))
	93.1%	(/.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))))))
	97.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32)) (PI.f32)) (neg.f32 cosTheta)) cosTheta)))
✓	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
▶	98.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 #s(approx (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (fma.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 (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 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32)) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	97.0%	#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 #s(approx (+ (neg (/ 1 (sqrt (PI)))) c) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 #s(approx (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
▶	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) #s(approx ( (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (*.f32 (PI.f32) c)) (sqrt.f32 (PI.f32))) cosTheta))
✓	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	29.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) (.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (-.f32 c (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.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 #s(literal 1 binary32) (-.f32 c (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (fma.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 (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 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.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 #s(literal 1 binary32) (-.f32 c (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))))) cosTheta))
	36.6%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) (.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 c c) c) (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 (-.f32 (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (fma.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 (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 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.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 cosTheta (fma.f32 cosTheta (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 cosTheta (fma.f32 #s(literal 3/2 binary32) (PI.f32) (.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (-.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) (.f32 #s(literal 1 binary32) (PI.f32))))) c) (.f32 (.f32 cosTheta cosTheta) (+.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 cosTheta (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (-.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 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (-.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 (.f32 (.f32 cosTheta cosTheta) cosTheta) (.f32 (PI.f32) (PI.f32))))))) cosTheta))
	96.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)) cosTheta)) cosTheta))
	96.6%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 cosTheta) (PI.f32) (fma.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32)) (/.f32 (neg.f32 (.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) cosTheta)) c))) c)) cosTheta))
▶	96.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (neg.f32 (.f32 (fma.f32 (PI.f32) cosTheta (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) c))) c))) cosTheta))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (+ (* (sqrt (PI)) cosTheta) (* (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (neg cosTheta)) cosTheta)) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) c) (.f32 (/.f32 cosTheta c) (sqrt.f32 (PI.f32))))))))
	24.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) cosTheta) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (fma.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 (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 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.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 #s(literal 1 binary32) (-.f32 c (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (.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 cosTheta cosTheta)) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32)) (.f32 (/.f32 (.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 c (.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (.f32 #s(literal -3/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))))))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (PI.f32) (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) c)) c)))
	59.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)) (*.f32 cosTheta cosTheta))))

Compiler

Compiled 4 040 to 2 537 computations (37.2% saved)

series134.0ms (3.6%)

Memory

-29.9MiB live, 260.5MiB allocated; 28ms collecting garbage

Counts

76 → 272

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
41.0ms	cosTheta	@	inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) (- (+ (* -1 (* cosTheta (- (* 1/2 (sqrt (PI))) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))))))))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))) (* -3/2 (sqrt (PI)))) (+ (* -1 (* cosTheta (- (* 1/2 (sqrt (PI))) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))))))))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))) -1 (* cosTheta (- (* 1/2 (sqrt (PI))) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI))))))))))))) cosTheta (- (* 1/2 (sqrt (PI))) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))))))) (* 1/2 (sqrt (PI))) 1/2 (sqrt (PI)) (PI) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI))))))))))) -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI)))))) (- 1 (* 1 (/ 1 (sqrt (PI))))) 1 (* 1 (/ 1 (sqrt (PI)))) (/ 1 (sqrt (PI))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI))))))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))) (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (sqrt (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (/ -1 (sqrt (PI))) c) (/ -1 (sqrt (PI))) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (* (PI) c) (/ 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 (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (/ (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (neg (* (+ (* (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) c)) (* (+ (* (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) c) (+ (* (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c)) (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c) (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (* (- 1 (/ 1 (sqrt (PI)))) (PI)) (- 1 (/ 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 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) (/ 1 (* cosTheta (PI))) (* cosTheta (PI)) (* 2 (/ 1 (PI))) 2 (/ 1 (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/ (+ (* (neg cosTheta) cosTheta) 1) cosTheta) (+ (* (neg cosTheta) cosTheta) 1))
17.0ms	cosTheta	@	0	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) (- (+ (* -1 (* cosTheta (- (* 1/2 (sqrt (PI))) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))))))))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))) (* -3/2 (sqrt (PI)))) (+ (* -1 (* cosTheta (- (* 1/2 (sqrt (PI))) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))))))))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))) -1 (* cosTheta (- (* 1/2 (sqrt (PI))) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI))))))))))))) cosTheta (- (* 1/2 (sqrt (PI))) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))))))) (* 1/2 (sqrt (PI))) 1/2 (sqrt (PI)) (PI) (+ (* -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI))))))))))) -3/2 (* (PI) (- 1 (* 1 (/ 1 (sqrt (PI)))))) (- 1 (* 1 (/ 1 (sqrt (PI))))) 1 (* 1 (/ 1 (sqrt (PI)))) (/ 1 (sqrt (PI))) (* (sqrt (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI))))))))) (- (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))))) (* -3/2 (sqrt (PI))) (* (sqrt (* (* (PI) (PI)) (PI))) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI))))))) (sqrt (* (* (PI) (PI)) (PI))) (* (* (PI) (PI)) (PI)) (* (PI) (PI)) (* (- 1 (* 1 (/ 1 (sqrt (PI))))) (- 1 (* 1 (/ 1 (sqrt (PI)))))) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (/ -1 (sqrt (PI))) c) (/ -1 (sqrt (PI))) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (* (PI) c) (/ 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 (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (/ (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (neg (* (+ (* (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) c)) (* (+ (* (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) c) (+ (* (PI) cosTheta) (neg (/ (+ (* 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(PI))) (* cosTheta (PI)) (* 2 (/ 1 (PI))) 2 (/ 1 (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/ (+ (* (neg cosTheta) cosTheta) 1) cosTheta) (+ (* (neg cosTheta) cosTheta) 1))
16.0ms	cosTheta	@	-inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ 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(sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (/ (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (neg (* (+ (* (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) c)) (* (+ (* (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) c) (+ (* (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c)) (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c) (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (* (- 1 (/ 1 (sqrt (PI)))) (PI)) (- 1 (/ 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 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c)) (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI))))) (- (/ 1 (* cosTheta (PI))) (* 2 (/ 1 (PI)))) (/ 1 (* cosTheta (PI))) (* cosTheta (PI)) (* 2 (/ 1 (PI))) 2 (/ 1 (PI)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/ (+ (* (neg cosTheta) cosTheta) 1) cosTheta) (+ (* (neg cosTheta) cosTheta) 1))

rewrite269.0ms (7.2%)

Memory

8.3MiB live, 529.0MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1542	34211
0	1666	28373
0	8435	27760

Stop Event

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

Counts

348 → 470

Calls

Call 1

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

eval105.0ms (2.8%)

Memory: 13.5MiB live, 146.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 34 105 to 3 810 computations (88.8% saved)

prune70.0ms (1.9%)

Memory

8.5MiB live, 158.3MiB allocated; 14ms collecting garbage

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	423	14	437
Fresh	5	20	25
Picked	4	1	5
Done	0	4	4
Total	432	39	471

Accuracy

100.0%

Counts

471 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	97.6%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
	93.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	97.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.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 c #s(literal 1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (/.f32 (fma.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) #s(literal -1/2 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
✓	97.7%	(/.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 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
	97.7%	(/.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 #s(approx (- (- 1 cosTheta) cosTheta) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (PI.f32))) #s(literal 1 binary32))))
	97.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.f32 #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))))) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
	93.4%	(/.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) (sqrt.f32 (PI.f32))) cosTheta)))
✓	97.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) c))))
	97.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (+.f32 (/.f32 (*.f32 (neg.f32 cosTheta) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) c))))
	54.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) #s(approx (/ (+ (* (neg cosTheta) cosTheta) 1) cosTheta) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) c))))
	97.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(approx (- (- 1 cosTheta) cosTheta) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (PI.f32))) #s(approx (/ (exp ( (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
	97.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta #s(approx (- (/ 1 ( cosTheta (PI))) (* 2 (/ 1 (PI)))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))))) #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta #s(approx (- (/ 1 ( cosTheta (PI))) (* 2 (/ 1 (PI)))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))))))) #s(approx (/ (exp ( (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) cosTheta)) c))))
	93.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) #s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) (/.f32 #s(approx (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))))
	96.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) #s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(approx (/ (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+.f32 c (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))))
	56.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) #s(approx (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta)) c) #s(approx (/ (+ (* (+ (/ -1 (sqrt (PI))) c) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) c)) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 c cosTheta))))))))))
	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
	97.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) c) #s(literal 1 binary32)) (PI.f32)) (neg.f32 cosTheta)) cosTheta)))
✓	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	97.0%	#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 #s(approx (+ (neg (/ 1 (sqrt (PI)))) c) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 1 binary32)) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 #s(approx (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
✓	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) #s(approx ( (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI)) (*.f32 (PI.f32) c)) (sqrt.f32 (PI.f32))) cosTheta))
	98.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 #s(approx (- ( (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) (-.f32 (.f32 cosTheta (-.f32 (+.f32 (neg.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -3/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (-.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 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
✓	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
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	96.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)) cosTheta)) cosTheta))
	96.6%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 cosTheta) (PI.f32) (fma.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32)) (/.f32 (neg.f32 (.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) cosTheta)) c))) c)) cosTheta))
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	94.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) (neg.f32 (.f32 #s(approx (+ ( (PI) cosTheta) (neg (/ (+ (* (neg cosTheta) (* (- 1 (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) c))) (neg.f32 (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) c))) c))) cosTheta))
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	24.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (- (* (- (* (neg cosTheta) (+ (+ (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)) (neg (* (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))) (neg (* (* (sqrt (PI)) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI)))))))))) (+ (* (* (/ 1 (sqrt (PI))) -3/2) (PI)) (neg (* (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (+ (+ (/ -1 (sqrt (PI))) c) 1)) (sqrt (* (* (PI) (PI)) (PI))))))) cosTheta) (* (+ (+ (/ -1 (sqrt (PI))) c) 1) (PI))) cosTheta) (sqrt (PI))) cosTheta) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (-.f32 (+.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -3/2 binary32) (.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) (+.f32 (neg.f32 (.f32 (PI.f32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 cosTheta cosTheta)))) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32)) (.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))))) (.f32 #s(literal -3/2 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))))))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (PI.f32) (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) c)) c)))
	59.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)) (*.f32 cosTheta cosTheta))))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (+ (+ (neg (/ 1 (sqrt (PI)))) c) 1) (PI))) (sqrt (PI))) cosTheta) (.f32 c (+.f32 (neg.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (.f32 cosTheta (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (neg.f32 (.f32 cosTheta (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) c))))))

Compiler

Compiled 5 477 to 2 251 computations (58.9% saved)

regimes195.0ms (5.2%)

Memory

35.9MiB live, 293.5MiB allocated; 43ms collecting garbage

Counts

68 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

72.0ms	(.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)))
39.0ms	(/.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)))))
23.0ms	c
21.0ms	cosTheta
19.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
98.5%	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)))`
98.5%	1	`(+.f32 #s(literal 1 binary32) c)`
98.5%	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))))`
98.5%	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)))))`
98.5%	1	`cosTheta`
98.5%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes100.0ms (2.7%)

Memory

28.9MiB live, 218.1MiB allocated; 15ms collecting garbage

Counts

49 → 1

Calls

Call 1

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

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

Outputs

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

Calls

6 calls:

28.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
17.0ms	c
15.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
13.0ms	(+.f32 #s(literal 1 binary32) c)
12.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))

Results

Accuracy	Segments	Branch
98.0%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.0%	1	`(+.f32 #s(literal 1 binary32) c)`
98.0%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.0%	1	`cosTheta`
98.0%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes87.0ms (2.3%)

Memory

-68.5MiB live, 198.5MiB allocated; 40ms collecting garbage

Counts

41 → 1

Calls

Call 1

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

Calls

6 calls:

28.0ms	(+.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))))
13.0ms	cosTheta
10.0ms	(+.f32 #s(literal 1 binary32) c)
10.0ms	c
10.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
97.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.7%	1	`(+.f32 #s(literal 1 binary32) c)`
97.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.7%	1	`cosTheta`
97.7%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes65.0ms (1.8%)

Memory

38.8MiB live, 181.8MiB allocated; 9ms collecting garbage

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.7%	1	`(+.f32 #s(literal 1 binary32) c)`
97.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.7%	1	`cosTheta`
97.7%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes61.0ms (1.6%)

Memory

-39.5MiB live, 152.4MiB allocated; 8ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

11.0ms	c
11.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
10.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
9.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
9.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.7%	1	`(+.f32 #s(literal 1 binary32) c)`
97.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.7%	1	`cosTheta`
97.7%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes54.0ms (1.5%)

Memory

4.1MiB live, 145.6MiB allocated; 3ms collecting garbage

Counts

34 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

9.0ms	cosTheta
9.0ms	c
9.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
9.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
9.0ms	(.f32 (.f32 (/.f32 #s(literal 1 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
97.6%	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 #s(literal 1 binary32) c)`
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	`(/.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`
97.6%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes40.0ms (1.1%)

Memory

11.1MiB live, 107.8MiB allocated; 5ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes39.0ms (1%)

Memory

16.5MiB live, 110.1MiB allocated; 4ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
97.1%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.1%	1	`(+.f32 #s(literal 1 binary32) c)`
97.1%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.1%	1	`cosTheta`
97.1%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes27.0ms (0.7%)

Memory

13.6MiB live, 67.6MiB allocated; 4ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

6 calls:

6.0ms	cosTheta
4.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
4.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
4.0ms	c

Results

Accuracy	Segments	Branch
97.0%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.0%	1	`(+.f32 #s(literal 1 binary32) c)`
97.0%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.0%	1	`cosTheta`
97.0%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes21.0ms (0.6%)

Memory

-37.5MiB live, 56.1MiB allocated; 5ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

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

Calls

6 calls:

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)))
3.0ms	c
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 #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	cosTheta

Results

Accuracy	Segments	Branch
97.0%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.0%	1	`(+.f32 #s(literal 1 binary32) c)`
97.0%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.0%	1	`cosTheta`
97.0%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes17.0ms (0.4%)

Memory

-0.5MiB live, 46.7MiB allocated; 1ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

4.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
3.0ms	c
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))))
2.0ms	cosTheta

Results

Accuracy	Segments	Branch
94.2%	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)))`
94.2%	1	`(+.f32 #s(literal 1 binary32) c)`
94.2%	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))))`
94.2%	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)))))`
94.2%	1	`cosTheta`
94.2%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes10.0ms (0.3%)

Memory

34.7MiB live, 34.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(/.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) (sqrt.f32 (PI.f32))) cosTheta)))

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:

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

Results

Accuracy	Segments	Branch
94.2%	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)))`
94.2%	1	`(+.f32 #s(literal 1 binary32) c)`
94.2%	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))))`
94.2%	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)))))`
94.2%	1	`cosTheta`
94.2%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes8.0ms (0.2%)

Memory

-31.4MiB live, 19.9MiB allocated; 1ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
5.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
5.2%	1	`(+.f32 #s(literal 1 binary32) c)`
5.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
5.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
5.2%	1	`cosTheta`
5.2%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

derivations171.0ms (4.6%)

Memory

15.2MiB live, 347.6MiB allocated; 13ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 254 to 101 computations (60.2% saved)

preprocess101.0ms (2.7%)

Memory: -21.9MiB live, 361.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 275 to 119 computations (56.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze18.0ms (0.5%)

sample981.0ms (26.4%)

preprocess49.0ms (1.3%)

series38.0ms (1%)

rewrite138.0ms (3.7%)

eval18.0ms (0.5%)

prune13.0ms (0.4%)

series34.0ms (0.9%)

rewrite170.0ms (4.6%)

eval64.0ms (1.7%)

prune30.0ms (0.8%)

series143.0ms (3.8%)

rewrite286.0ms (7.7%)

eval123.0ms (3.3%)

prune42.0ms (1.1%)

series134.0ms (3.6%)

rewrite269.0ms (7.2%)

eval105.0ms (2.8%)

prune70.0ms (1.9%)

regimes195.0ms (5.2%)

regimes100.0ms (2.7%)

regimes87.0ms (2.3%)

regimes65.0ms (1.8%)

regimes61.0ms (1.6%)

regimes54.0ms (1.5%)

regimes40.0ms (1.1%)

regimes39.0ms (1%)

regimes27.0ms (0.7%)

regimes21.0ms (0.6%)

regimes17.0ms (0.4%)

regimes10.0ms (0.3%)

regimes8.0ms (0.2%)

derivations171.0ms (4.6%)

preprocess101.0ms (2.7%)

end0.0ms (0%)

Profiling