Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

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

analyze48.0ms (1.2%)

Memory

-26.7MiB live, 16.8MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample1.0s (24.2%)

Memory

69.8MiB live, 1 276.3MiB allocated; 279ms collecting garbage

Samples

658.0ms	8 254×	0	valid
11.0ms	77×	0	invalid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 483.0ms

ival-mult!: 101.0ms (20.9% of total)

ival-div!: 76.0ms (15.7% of total)

ival-sqrt: 71.0ms (14.7% of total)

ival-add!: 69.0ms (14.3% of total)

ival-sub!: 65.0ms (13.4% of total)

ival-exp: 61.0ms (12.6% of total)

ival-neg: 35.0ms (7.2% of total)

ival-<: 5.0ms (1% of total)

adjust: 2.0ms (0.4% of total)

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

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

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

Bogosity

preprocess72.0ms (1.7%)

Memory

-7.8MiB live, 36.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	158
1	188	142
2	793	126
3	5243	126

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(/.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

▶

97.5%

(/.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 50 to 36 computations (28% saved)

series25.0ms (0.6%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms 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 (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (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)) (* cosTheta (- (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (sqrt (PI)) 3) (pow (- (+ 1 c) (/ 1 (sqrt (PI)))) 2)))))) (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (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)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (sqrt (PI)) 3) (pow (- (+ 1 c) (/ 1 (sqrt (PI)))) 2)))) (- (+ 1 c) (/ 1 (sqrt (PI))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI)))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (sqrt (PI)) 3) (pow (- (+ 1 c) (/ 1 (sqrt (PI)))) 2)))))) (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI)))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* cosTheta (sqrt (PI))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (* cosTheta (- (+ 1 c) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (* cosTheta (- (+ 1 (+ c (* -3/2 (/ cosTheta (sqrt (PI)))))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (* cosTheta (- (+ 1 (+ c (* cosTheta (- (* 1/2 (/ cosTheta (sqrt (PI)))) (* 3/2 (/ 1 (sqrt (PI)))))))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (* cosTheta (- (* cosTheta (- (* 1/2 (/ cosTheta (sqrt (PI)))) (* 3/2 (/ 1 (sqrt (PI)))))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (* cosTheta (- (* -1/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (* cosTheta (- (* cosTheta (- (* -1/2 (/ cosTheta (sqrt (PI)))) (* 1/2 (/ 1 (sqrt (PI)))))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (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 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (* (sqrt (/ -2 cosTheta)) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 2)))))) (/ 1 (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow (sqrt (PI)) 2) (* (pow (sqrt (/ -2 cosTheta)) 2) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 3))))) (* -1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt (PI)) (* (pow (sqrt (/ -2 cosTheta)) 3) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))) (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (* (sqrt (/ -2 cosTheta)) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 2)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/2 (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow (sqrt (PI)) 2) (* (pow (sqrt (/ -2 cosTheta)) 2) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 3))))) (* -1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt (PI)) (* (pow (sqrt (/ -2 cosTheta)) 3) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 2))))))) (* (sqrt (PI)) (* (sqrt (/ -2 cosTheta)) (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))))) (+ (* 1/16 (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt (PI)) (* (pow (sqrt (/ -2 cosTheta)) 5) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 2))))) (* 1/16 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow (sqrt (PI)) 2) (* (pow (sqrt (/ -2 cosTheta)) 4) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 4) (* (pow (sqrt (PI)) 2) (* (pow (sqrt (/ -2 cosTheta)) 2) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 3)))))) (+ (* -1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (* (pow (sqrt (/ -2 cosTheta)) 3) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 2)))))) (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (* (sqrt (/ -2 cosTheta)) (pow (+ 1 (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))) 2)))))))))))
#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))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3))))) (+ (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3))))) (+ (* 1/16 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 6) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 5))))) (+ (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3))))) (+ (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3))))) (+ (* 1/16 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 6) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 5))))) (+ (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (sqrt (/ -2 cosTheta)) (sqrt (PI)))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (/ (sqrt (/ -2 cosTheta)) (sqrt (PI))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (- (+ (/ 1/2 (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta))))) (/ (sqrt (/ -2 cosTheta)) (sqrt (PI)))) (/ 1/8 (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3)))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (- (+ (/ 1/2 (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta))))) (+ (* 1/16 (/ 1 (* (pow cosTheta 6) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 5))))) (/ (sqrt (/ -2 cosTheta)) (sqrt (PI))))) (* 1/8 (/ 1 (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (sqrt (/ -2 cosTheta))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (sqrt (/ -2 cosTheta)) (* 1/2 (/ 1 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (- (+ (sqrt (/ -2 cosTheta)) (/ 1/2 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta))))) (/ 1/8 (* (pow cosTheta 4) (pow (sqrt (/ -2 cosTheta)) 3))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (- (+ (sqrt (/ -2 cosTheta)) (+ (/ 1/2 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta)))) (* 1/16 (/ 1 (* (pow cosTheta 6) (pow (sqrt (/ -2 cosTheta)) 5)))))) (* 1/8 (/ 1 (* (pow cosTheta 4) (pow (sqrt (/ -2 cosTheta)) 3)))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (sqrt (/ -2 cosTheta)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (+ (sqrt (/ -2 cosTheta)) (* 1/2 (/ 1 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta)))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (- (+ (sqrt (/ -2 cosTheta)) (/ 1/2 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta))))) (/ 1/8 (* (pow cosTheta 4) (pow (sqrt (/ -2 cosTheta)) 3)))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (- (+ (sqrt (/ -2 cosTheta)) (+ (/ 1/2 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta)))) (* 1/16 (/ 1 (* (pow cosTheta 6) (pow (sqrt (/ -2 cosTheta)) 5)))))) (* 1/8 (/ 1 (* (pow cosTheta 4) (pow (sqrt (/ -2 cosTheta)) 3))))))))
#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 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* 1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (* (sqrt (/ -2 cosTheta)) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 2)))))) (/ 1 (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow (sqrt (PI)) 2) (* (pow (sqrt (/ -2 cosTheta)) 2) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 3))))) (* 1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt (PI)) (* (pow (sqrt (/ -2 cosTheta)) 3) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))))) (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (* (sqrt (/ -2 cosTheta)) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 2)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/16 (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt (PI)) (* (pow (sqrt (/ -2 cosTheta)) 5) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 2))))) (+ (* 1/16 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow (sqrt (PI)) 2) (* (pow (sqrt (/ -2 cosTheta)) 4) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 3))))) (* 1/2 (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow (sqrt (PI)) 2) (* (pow (sqrt (/ -2 cosTheta)) 2) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 3))))) (* 1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt (PI)) (* (pow (sqrt (/ -2 cosTheta)) 3) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 2))))))) (* (sqrt (PI)) (* (sqrt (/ -2 cosTheta)) (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))))) (+ (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (* (sqrt (/ -2 cosTheta)) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 2)))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 4) (* (pow (sqrt (PI)) 2) (* (pow (sqrt (/ -2 cosTheta)) 2) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 3)))))) (* 1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (* (pow (sqrt (/ -2 cosTheta)) 3) (pow (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))))) 2)))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))) (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))) (+ (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (* 1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3)))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))) (+ (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (+ (* -1/16 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 6) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 5))))) (* 1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3))))))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))) (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))) (+ (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (* 1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3)))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (/ -2 cosTheta))) (sqrt (PI)))) (+ (* -1/2 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))) (+ (* -1/16 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 6) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 5))))) (* 1/8 (/ (exp (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3))))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (* -1 (/ (sqrt (/ -2 cosTheta)) (sqrt (PI))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (- (* -1 (/ (sqrt (/ -2 cosTheta)) (sqrt (PI)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta)))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (- (+ (* -1 (/ (sqrt (/ -2 cosTheta)) (sqrt (PI)))) (/ 1/8 (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3))))) (/ 1/2 (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (- (+ (* -1 (/ (sqrt (/ -2 cosTheta)) (sqrt (PI)))) (* 1/8 (/ 1 (* (pow cosTheta 4) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 3)))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (sqrt (PI)) (sqrt (/ -2 cosTheta))))) (* 1/16 (/ 1 (* (pow cosTheta 6) (* (sqrt (PI)) (pow (sqrt (/ -2 cosTheta)) 5)))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (* -1 (sqrt (/ -2 cosTheta)))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (- (* -1 (sqrt (/ -2 cosTheta))) (* 1/2 (/ 1 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (- (+ (* -1 (sqrt (/ -2 cosTheta))) (/ 1/8 (* (pow cosTheta 4) (pow (sqrt (/ -2 cosTheta)) 3)))) (/ 1/2 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta)))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (- (+ (* -1 (sqrt (/ -2 cosTheta))) (* 1/8 (/ 1 (* (pow cosTheta 4) (pow (sqrt (/ -2 cosTheta)) 3))))) (+ (/ 1/2 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta)))) (* 1/16 (/ 1 (* (pow cosTheta 6) (pow (sqrt (/ -2 cosTheta)) 5))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (sqrt (/ -2 cosTheta))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (+ (sqrt (/ -2 cosTheta)) (* 1/2 (/ 1 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta))))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (- (+ (sqrt (/ -2 cosTheta)) (/ 1/2 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta))))) (/ 1/8 (* (pow cosTheta 4) (pow (sqrt (/ -2 cosTheta)) 3))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (- (+ (sqrt (/ -2 cosTheta)) (+ (/ 1/2 (* (pow cosTheta 2) (sqrt (/ -2 cosTheta)))) (* 1/16 (/ 1 (* (pow cosTheta 6) (pow (sqrt (/ -2 cosTheta)) 5)))))) (* 1/8 (/ 1 (* (pow cosTheta 4) (pow (sqrt (/ -2 cosTheta)) 3)))))))))
#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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 2))) (/ 1 (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 3)) (/ 1 (pow (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 2)))) (/ 1 (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 4))) (/ 1 (pow (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 3)))) (/ 1 (pow (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 2)))) (/ 1 (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 2) (pow c 2))) (+ (/ 1 c) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI))))))) 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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 2) (pow c 2))) (+ (/ 1 c) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))))) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* c (+ 1 (+ (/ 1 c) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI))))))))))
#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 (/ (- (+ (/ 1 c) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) 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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 2) c) (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 3) c) (pow (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) 2)) c)) (+ 1 (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (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))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) c)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	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))
7.0ms	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))
2.0ms	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))

rewrite780.0ms (18.7%)

Memory

-158.5MiB live, 300.1MiB allocated; 991ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	553	5655
0	578	5245
1	3336	5121
0	9715	4836

Stop Event

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

Counts

118 → 224

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

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

eval35.0ms (0.8%)

Memory: 25.7MiB live, 72.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 9 639 to 1 412 computations (85.4% saved)

prune19.0ms (0.5%)

Memory

4.0MiB live, 50.1MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	188	21	209
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	21	210

Accuracy

99.4%

Counts

210 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) 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))))
	98.0%	(/.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)))))
	97.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.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))))))
	97.5%	(/.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)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))))
	96.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
▶	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
▶	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	94.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.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)))) (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))))
	95.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) c) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	96.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)))) cosTheta c) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
▶	94.5%	(/.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 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	92.5%	(/.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) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
	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 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) c))))
	56.4%	(/.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) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) c)) (/.f32 #s(literal 1 binary32) c))) c)))
	56.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.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)) c)) #s(literal 1 binary32)) c))))
	90.6%	(exp.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #s(literal -1 binary32)))
▶	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	97.2%	#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 3/2 binary32) (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	95.6%	#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 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	93.1%	#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 1 724 to 1 100 computations (36.2% saved)

series30.0ms (0.7%)

Memory

7.9MiB live, 59.0MiB allocated; 9ms collecting garbage

Counts

43 → 127

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	cosTheta	@	inf	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (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))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 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) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (neg 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 (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (- (* -1/2 cosTheta) 1) (* -1/2 cosTheta) -1/2)
4.0ms	cosTheta	@	-inf	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (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))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 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) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (neg 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 (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (- (* -1/2 cosTheta) 1) (* -1/2 cosTheta) -1/2)
3.0ms	cosTheta	@	0	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (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))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 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) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (neg 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 (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (- (* -1/2 cosTheta) 1) (* -1/2 cosTheta) -1/2)
2.0ms	c	@	-inf	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (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))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 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) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (neg 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 (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (- (* -1/2 cosTheta) 1) (* -1/2 cosTheta) -1/2)
2.0ms	c	@	0	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (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))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 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) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (neg 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 (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (- (* -1/2 cosTheta) 1) (* -1/2 cosTheta) -1/2)

rewrite265.0ms (6.4%)

Memory

8.6MiB live, 273.3MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	676	6726
0	739	6138
1	4104	5932
0	9364	5667

Stop Event

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

Counts

170 → 416

Calls

Call 1

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

eval59.0ms (1.4%)

Memory: -10.1MiB live, 139.0MiB allocated; 23ms collecting garbage
Compiler: Compiled 21 246 to 2 596 computations (87.8% saved)

prune31.0ms (0.7%)

Memory

-14.7MiB live, 79.2MiB allocated; 4ms collecting garbage

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	462	20	482
Fresh	7	9	16
Picked	4	1	5
Done	0	0	0
Total	473	30	503

Accuracy

99.7%

Counts

503 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
	97.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.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))))))
	96.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	51.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(approx (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	94.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	97.6%	(/.f32 #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) c)))
▶	97.3%	(/.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))))
	95.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) c) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	94.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(approx (- (+ c 1) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	94.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))) (fma.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta)))
	92.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
▶	94.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta)))
	94.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (+.f32 (fma.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) cosTheta) c)) cosTheta)))
	92.5%	(/.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) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
	94.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))))
	95.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+.f32 (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c))))
	53.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 c cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) c))))
	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c)) #s(literal 1 binary32)) c)))))
	97.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (fma.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 1 binary32))))
	56.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) c))) c)))
	90.6%	(exp.f32 (.f32 (log.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)))
▶	87.5%	(exp.f32 (.f32 (log.f32 #s(approx (+ ( (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/.f32 (fma.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))) #s(literal -1 binary32)))
✓	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	97.2%	#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 3/2 binary32) (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	95.6%	#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 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
▶	93.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))

Compiler

Compiled 2 769 to 1 671 computations (39.7% saved)

series75.0ms (1.8%)

Memory

30.5MiB live, 133.2MiB allocated; 34ms collecting garbage

Counts

44 → 223

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
24.0ms	cosTheta	@	inf	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ c 1) c (/ 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) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (* (sqrt (PI)) cosTheta)) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) 1) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (exp (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1)) (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 1 (sqrt (PI)))) -1)
23.0ms	cosTheta	@	-inf	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ c 1) c (/ 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) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (* (sqrt (PI)) cosTheta)) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) 1) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (exp (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1)) (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 1 (sqrt (PI)))) -1)
5.0ms	cosTheta	@	0	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ c 1) c (/ 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) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (* (sqrt (PI)) cosTheta)) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) 1) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (exp (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1)) (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 1 (sqrt (PI)))) -1)
4.0ms	c	@	0	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ c 1) c (/ 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) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (* (sqrt (PI)) cosTheta)) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) 1) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (exp (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1)) (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 1 (sqrt (PI)))) -1)
4.0ms	c	@	inf	((/ 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) 1 (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ c 1) c (/ 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) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ 1 (* (sqrt (PI)) cosTheta))) (/ 1 (* (sqrt (PI)) cosTheta)) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) 1) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (exp (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1)) (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ c 1) (/ 1 (sqrt (PI)))) -1)

rewrite230.0ms (5.5%)

Memory

-3.2MiB live, 327.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1363	15457
0	1431	13749
0	8703	13130

Stop Event

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

Counts

267 → 400

Calls

Call 1

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

eval51.0ms (1.2%)

Memory: -1.1MiB live, 133.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 24 813 to 2 510 computations (89.9% saved)

prune36.0ms (0.9%)

Memory

0.0MiB live, 97.6MiB allocated; 10ms collecting garbage

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	376	15	391
Fresh	10	14	24
Picked	4	1	5
Done	0	1	1
Total	390	31	421

Accuracy

99.7%

Counts

421 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) #s(approx (exp (* cosTheta cosTheta)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))))
	97.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (+.f32 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) (/.f32 #s(literal 1 binary32) (exp.f32 (*.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) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	96.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (fma.f32 (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	51.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(approx (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32))))
	97.3%	(/.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 #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))) #s(literal 1 binary32))))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.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))))
	94.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
	94.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))) (fma.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta)))
	92.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
▶	94.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 (-.f32 (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta)))
	94.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ 1 ( (sqrt (PI)) cosTheta))) (/.f32 (fma.f32 (+.f32 c #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta)))
	94.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ 1 ( (sqrt (PI)) cosTheta))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta)))
	94.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (+.f32 (fma.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) cosTheta) c)) cosTheta)))
▶	92.5%	(/.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) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
▶	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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) cosTheta)))))
▶	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) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))))
	56.3%	(/.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)) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) c))) c)))
	53.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 c cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) c))))
	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c)) #s(literal 1 binary32)) c)))))
	85.8%	(exp.f32 #s(approx (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (neg.f32 (+.f32 (neg.f32 (log.f32 cosTheta)) (neg.f32 (log.f32 (sqrt.f32 (PI.f32))))))))
	90.4%	(exp.f32 #s(approx (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (neg.f32 (log.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) #s(literal 1 binary32))))))
✓	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	97.2%	#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 3/2 binary32) (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	95.6%	#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 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
✓	93.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))

Compiler

Compiled 2 981 to 1 789 computations (40% saved)

series46.0ms (1.1%)

Memory

22.1MiB live, 109.9MiB allocated; 8ms collecting garbage

Counts

44 → 217

Calls

Call 1

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

6 calls:

Time	Variable		Point	Expression
14.0ms	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 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta) (* (exp (* cosTheta cosTheta)) (sqrt (PI))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (sqrt (PI)) (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 (PI)) cosTheta)) (* (sqrt (PI)) 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)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (+ c 1) c (/ (/ 1 cosTheta) (sqrt (PI))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta))) (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ 1 (exp (* cosTheta cosTheta))))
10.0ms	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 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta) (* (exp (* cosTheta cosTheta)) (sqrt (PI))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (sqrt (PI)) (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 (PI)) cosTheta)) (* (sqrt (PI)) 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)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (+ c 1) c (/ (/ 1 cosTheta) (sqrt (PI))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta))) (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ 1 (exp (* cosTheta cosTheta))))
5.0ms	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 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta) (* (exp (* cosTheta cosTheta)) (sqrt (PI))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (sqrt (PI)) (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 (PI)) cosTheta)) (* (sqrt (PI)) 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)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (+ c 1) c (/ (/ 1 cosTheta) (sqrt (PI))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta))) (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ 1 (exp (* cosTheta 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 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta) (* (exp (* cosTheta cosTheta)) (sqrt (PI))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (sqrt (PI)) (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 (PI)) cosTheta)) (* (sqrt (PI)) 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)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (+ c 1) c (/ (/ 1 cosTheta) (sqrt (PI))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta))) (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ 1 (exp (* cosTheta cosTheta))))
3.0ms	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 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* (exp (* cosTheta cosTheta)) (sqrt (PI))) cosTheta) (* (exp (* cosTheta cosTheta)) (sqrt (PI))) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (sqrt (PI)) (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 (PI)) cosTheta)) (* (sqrt (PI)) 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)))) (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (* (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (- (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/ 1 (sqrt (PI)))) (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (+ c 1) c (/ (/ 1 cosTheta) (sqrt (PI))) (/ 1 cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta))) (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta)) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ 1 (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1))) (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (/ 1 (exp (* cosTheta cosTheta))))

rewrite278.0ms (6.7%)

Memory

23.5MiB live, 339.3MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1244	13232
0	1314	12482
1	7806	12482
0	8039	11988

Stop Event

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

Counts

261 → 384

Calls

Call 1

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

eval58.0ms (1.4%)

Memory: -20.7MiB live, 79.8MiB allocated; 24ms collecting garbage
Compiler: Compiled 26 705 to 2 637 computations (90.1% saved)

prune43.0ms (1%)

Memory

-21.2MiB live, 73.0MiB allocated; 6ms collecting garbage

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	417	11	428
Fresh	9	15	24
Picked	3	2	5
Done	0	2	2
Total	429	30	459

Accuracy

99.7%

Counts

459 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) #s(approx (exp (* cosTheta cosTheta)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) (+.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) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
	96.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) #s(approx (exp (* cosTheta cosTheta)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32)))) (+.f32 c #s(literal 1 binary32))))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	51.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(approx (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32))))
	97.3%	(/.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 #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))) #s(literal 1 binary32))))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.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))))
	94.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
	94.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))) (fma.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta)))
	92.3%	(/.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) (sqrt.f32 (PI.f32)))))
	94.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 (-.f32 #s(approx (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/.f32 (fma.f32 cosTheta (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta)))
	94.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta)))
	94.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (+.f32 (fma.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) cosTheta) c)) cosTheta)))
✓	92.5%	(/.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) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
	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) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) cosTheta))))
	96.8%	(/.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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (exp (* cosTheta cosTheta)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) cosTheta)))))
	95.2%	(/.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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(approx ( (exp (* cosTheta cosTheta)) (sqrt (PI))) (sqrt.f32 (PI.f32))) cosTheta)))))
	96.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (/ 1 (exp ( cosTheta cosTheta))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))))
	53.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 c cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) c))))
	53.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c)) #s(literal 1 binary32)) c)))))
	97.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
	97.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))))
	56.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) c))) c)))
	85.8%	(exp.f32 #s(approx (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (neg.f32 (+.f32 (neg.f32 (log.f32 cosTheta)) (neg.f32 (log.f32 (sqrt.f32 (PI.f32))))))))
	90.4%	(exp.f32 #s(approx (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (neg.f32 (log.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) #s(literal 1 binary32))))))
✓	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	97.2%	#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 3/2 binary32) (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
	95.6%	#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 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
✓	93.1%	#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 4 557 to 1 374 computations (69.8% saved)

regimes100.0ms (2.4%)

Memory

1.5MiB live, 141.4MiB allocated; 11ms 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 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) 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) (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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(approx ( (exp (* cosTheta cosTheta)) (sqrt (PI))) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 (+.f32 c #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)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+.f32 (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(approx (- (+ c 1) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.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 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.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) (.f32 #s(approx (/ 1 (exp ( cosTheta cosTheta))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ 1 ( (sqrt (PI)) cosTheta))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (exp (* cosTheta cosTheta)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) cosTheta)))))
(exp.f32 #s(approx (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (neg.f32 (+.f32 (neg.f32 (log.f32 cosTheta)) (neg.f32 (log.f32 (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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 (-.f32 (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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 (/.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c)) #s(literal 1 binary32)) c)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) #s(approx (exp (* cosTheta cosTheta)) (fma.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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ 1 ( (sqrt (PI)) cosTheta))) (/.f32 (fma.f32 (+.f32 c #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 (-.f32 #s(approx (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/.f32 (fma.f32 cosTheta (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (fma.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 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 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #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) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (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) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 (neg.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)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 c cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) c))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (+.f32 (fma.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) cosTheta) 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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) #s(approx (exp (* cosTheta cosTheta)) (fma.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 (fma.f32 (-.f32 (+.f32 (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) c) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.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 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) c))))
(/.f32 #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) 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) (+.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)) (fma.f32 (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) 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))))
(exp.f32 (.f32 (log.f32 #s(approx (+ ( (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/.f32 (fma.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) 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 #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))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (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 #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)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.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)) c)) #s(literal 1 binary32)) 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)) (fma.f32 (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) c))) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) c))) c)))
(/.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)) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) c))) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)))) cosTheta c) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) c)) (/.f32 #s(literal 1 binary32) c))) c)))
(exp.f32 #s(approx (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (neg.f32 (log.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) #s(literal 1 binary32))))))
(exp.f32 (.f32 (log.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)))
(/.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(approx (+ (* (- (* -1/2 cosTheta) 1) cosTheta) 1) (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(exp.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 c #s(literal 1 binary32)))) #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 (/.f32 (+.f32 (pow.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))) (fma.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) (/.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 (-.f32 (.f32 (-.f32 (.f32 (neg.f32 cosTheta) (+.f32 (fma.f32 (.f32 #s(literal 3/2 binary32) (PI.f32)) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (.f32 (sqrt.f32 (PI.f32)) (PI.f32)))))) cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))

Outputs

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

Calls

6 calls:

18.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
17.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
17.0ms	cosTheta
16.0ms	c
16.0ms	(/.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
98.1%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.1%	1	`(+.f32 #s(literal 1 binary32) c)`
98.1%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.1%	1	`cosTheta`
98.1%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes78.0ms (1.9%)

Memory

18.6MiB live, 109.4MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes109.0ms (2.6%)

Memory

0.4MiB live, 97.6MiB allocated; 62ms collecting garbage

Counts

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

Calls

6 calls:

49.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
14.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
12.0ms	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))))
11.0ms	cosTheta

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes56.0ms (1.3%)

Memory

-14.0MiB live, 77.8MiB allocated; 5ms 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 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) 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) (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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(approx ( (exp (* cosTheta cosTheta)) (sqrt (PI))) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 (+.f32 c #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)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+.f32 (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(approx (- (+ c 1) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.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 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.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) (.f32 #s(approx (/ 1 (exp ( cosTheta cosTheta))) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ 1 ( (sqrt (PI)) cosTheta))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (exp (* cosTheta cosTheta)) (fma.f32 cosTheta cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) cosTheta)))))
(exp.f32 #s(approx (* (log (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) -1) (neg.f32 (+.f32 (neg.f32 (log.f32 cosTheta)) (neg.f32 (log.f32 (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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 (-.f32 (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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 (/.f32 (*.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (neg.f32 (.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c)) #s(literal 1 binary32)) c)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 #s(literal 1 binary32) #s(approx (exp (* cosTheta cosTheta)) (fma.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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 #s(approx (+ (+ c 1) (/ 1 ( (sqrt (PI)) cosTheta))) (/.f32 (fma.f32 (+.f32 c #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.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(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 (-.f32 #s(approx (+ (+ c 1) (/ (/ 1 cosTheta) (sqrt (PI)))) (/.f32 (fma.f32 cosTheta (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (+.f32 c #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) cosTheta) (/ 1 (exp (* cosTheta cosTheta)))) (+ c 1)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* (sqrt (- (- 1 cosTheta) cosTheta)) 1) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (fma.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 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 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #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) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (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) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 (neg.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)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 c cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) c))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (+.f32 (fma.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) c))) cosTheta) c)) cosTheta)))

Outputs

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes46.0ms (1.1%)

Memory

15.5MiB live, 63.3MiB allocated; 6ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

9.0ms	cosTheta
7.0ms	c
7.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
7.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
7.0ms	(.f32 (.f32 (/.f32 #s(literal 1 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
97.0%	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	`(.f32 (.f32 (/.f32 #s(literal 1 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	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes41.0ms (1%)

Memory

13.9MiB live, 59.8MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
96.8%	1	`(+.f32 #s(literal 1 binary32) c)`
96.8%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.8%	1	`cosTheta`
96.8%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes28.0ms (0.7%)

Memory

-3.4MiB live, 42.5MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes24.0ms (0.6%)

Memory

-9.7MiB live, 36.4MiB allocated; 2ms 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 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) 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) (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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(approx ( (exp (* cosTheta cosTheta)) (sqrt (PI))) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 (+.f32 c #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)))) #s(approx (/ (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+.f32 (-.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(approx (- (+ c 1) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.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 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.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 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (neg.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))))

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
96.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.2%	1	`cosTheta`
96.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
96.2%	1	`(+.f32 #s(literal 1 binary32) c)`
96.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.2%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes22.0ms (0.5%)

Memory

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

Counts

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

Calls

6 calls:

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 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 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
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.6%	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)))`
95.6%	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))))`
95.6%	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)))))`
95.6%	1	`cosTheta`
95.6%	1	`(+.f32 #s(literal 1 binary32) c)`
95.6%	1	`c`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes17.0ms (0.4%)

Memory

-22.1MiB live, 25.8MiB allocated; 5ms 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 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ c 1) (/ 1 (sqrt (PI)))) 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) (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) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(approx ( (exp (* cosTheta cosTheta)) (sqrt (PI))) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #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)))) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 #s(approx (* (exp (* cosTheta cosTheta)) (sqrt (PI))) (sqrt.f32 (PI.f32))) cosTheta)))))

Calls

6 calls:

5.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
3.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
2.0ms	(/.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	c
2.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.2%	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)))))`
95.2%	1	`cosTheta`
95.2%	1	`c`
95.2%	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)))`
95.2%	1	`(+.f32 #s(literal 1 binary32) c)`
95.2%	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))))`

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes12.0ms (0.3%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

6 calls:

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
2.0ms	cosTheta

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes8.0ms (0.2%)

Memory

-31.4MiB live, 14.9MiB allocated; 3ms 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 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 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	cosTheta
1.0ms	c

Results

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

derivations307.0ms (7.4%)

Memory

30.9MiB live, 256.1MiB allocated; 28ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 464 to 100 computations (78.4% saved)

preprocess132.0ms (3.2%)

Memory: 7.3MiB live, 157.2MiB allocated; 32ms collecting garbage
Compiler: Compiled 489 to 118 computations (75.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze48.0ms (1.2%)

sample1.0s (24.2%)

preprocess72.0ms (1.7%)

series25.0ms (0.6%)

rewrite780.0ms (18.7%)

eval35.0ms (0.8%)

prune19.0ms (0.5%)

series30.0ms (0.7%)

rewrite265.0ms (6.4%)

eval59.0ms (1.4%)

prune31.0ms (0.7%)

series75.0ms (1.8%)

rewrite230.0ms (5.5%)

eval51.0ms (1.2%)

prune36.0ms (0.9%)

series46.0ms (1.1%)

rewrite278.0ms (6.7%)

eval58.0ms (1.4%)

prune43.0ms (1%)

regimes100.0ms (2.4%)

regimes78.0ms (1.9%)

regimes109.0ms (2.6%)

regimes56.0ms (1.3%)

regimes46.0ms (1.1%)

regimes41.0ms (1%)

regimes28.0ms (0.7%)

regimes24.0ms (0.6%)

regimes22.0ms (0.5%)

regimes17.0ms (0.4%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

derivations307.0ms (7.4%)

preprocess132.0ms (3.2%)

end0.0ms (0%)

Profiling