Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

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

analyze16.0ms (0.3%)

Memory

27.4MiB live, 27.4MiB allocated; 0ms 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 (21.5%)

Memory

80.8MiB live, 1 502.9MiB allocated; 428ms collecting garbage

Samples

744.0ms	8 254×	0	valid
5.0ms	64×	0	invalid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 544.0ms

ival-neg: 141.0ms (25.9% of total)

ival-mult!: 100.0ms (18.4% of total)

ival-div!: 82.0ms (15.1% of total)

ival-exp: 62.0ms (11.4% of total)

ival-sqrt: 60.0ms (11% of total)

ival-add!: 53.0ms (9.7% of total)

ival-sub!: 44.0ms (8.1% of total)

adjust: 1.0ms (0.2% of total)

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

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

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

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

Bogosity

preprocess64.0ms (1.3%)

Memory

-40.7MiB live, 50.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	152
1	237	138
2	1065	126
3	7043	126

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

97.6%

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

Compiler

Compiled 42 to 36 computations (14.3% saved)

series28.0ms (0.6%)

Memory

9.1MiB live, 54.7MiB allocated; 2ms 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	c	@	-inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))
3.0ms	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))

rewrite211.0ms (4.3%)

Memory

29.4MiB live, 216.1MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	553	5655
0	578	5242
1	3993	5118
0	8303	4822
1	24110	4822

Stop Event

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

Counts

118 → 190

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

eval21.0ms (0.4%)

Memory: -15.4MiB live, 39.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 112 to 1 128 computations (72.6% saved)

prune13.0ms (0.3%)

Memory

-15.6MiB live, 30.7MiB allocated; 2ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	160	15	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	161	15	176

Accuracy

99.3%

Counts

176 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	98.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	97.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	93.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	97.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (*.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	97.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1 binary32))))
▶	97.2%	(/.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)))
	96.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (+.f32 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)))
	93.9%	(/.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 (PI.f32)) cosTheta))))
	58.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 (+.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)))
▶	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	98.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 (-.f32 (.f32 (neg.f32 cosTheta) (+.f32 (fma.f32 (.f32 #s(literal 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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32)))) (.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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (+.f32 c #s(literal 1 binary32)))) (.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))
▶	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))

Compiler

Compiled 954 to 798 computations (16.4% saved)

series37.0ms (0.8%)

Memory

23.2MiB live, 68.4MiB allocated; 4ms collecting garbage

Counts

42 → 165

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	cosTheta	@	0	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) (/ cosTheta (sqrt (PI))) -3/2)
6.0ms	cosTheta	@	-inf	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) (/ cosTheta (sqrt (PI))) -3/2)
5.0ms	c	@	0	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) (/ cosTheta (sqrt (PI))) -3/2)
5.0ms	cosTheta	@	inf	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) (/ cosTheta (sqrt (PI))) -3/2)
4.0ms	c	@	-inf	((/ 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) 1 (+ (* (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (+ c 1) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (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) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) (/ cosTheta (sqrt (PI))) -3/2)

rewrite232.0ms (4.8%)

Memory

21.8MiB live, 256.9MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	836	8206
0	906	7524
1	5923	7367
0	8196	7065
1	22136	7065

Stop Event

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

Counts

207 → 364

Calls

Call 1

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

Outputs
(.f32 #s(literal 1 binary32) (/.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 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(pow.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) #s(literal -1 binary32))
#s(literal 1 binary32)
(-.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (neg.f32 (-.f32 c #s(literal -1 binary32))))
(-.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (neg.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(-.f32 (-.f32 c #s(literal -1 binary32)) (neg.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(-.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) c)))
(fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal -1 binary32)))
(fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #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 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(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 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) c) #s(literal 1 binary32))
(+.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(+.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(+.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 (sqrt.f32 (PI.f32)) cosTheta)) c))
(.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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.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 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32))) cosTheta)
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c
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eval43.0ms (0.9%)

Memory: -17.3MiB live, 82.5MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 286 to 1 983 computations (72.8% saved)

prune29.0ms (0.6%)

Memory

-25.1MiB live, 67.8MiB allocated; 3ms collecting garbage

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	342	24	366
Fresh	5	5	10
Picked	4	1	5
Done	0	0	0
Total	351	30	381

Accuracy

99.7%

Counts

381 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
▶	98.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
▶	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.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))))
	97.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (-.f32 c #s(literal -1 binary32))))
	98.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (* 1 (sqrt (- (- 1 cosTheta) cosTheta))) (* (sqrt (PI)) cosTheta)) (/.f32 (fma.f32 (-.f32 (.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (+.f32 c #s(literal 1 binary32))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	93.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	97.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.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))))
▶	98.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))))
	96.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (-.f32 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)))
	93.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	49.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 c cosTheta))) (/.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (*.f32 cosTheta cosTheta))) cosTheta)))
	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (-.f32 (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) #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)))) c)) cosTheta)))
	93.9%	(/.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 (PI.f32)) cosTheta))))
	58.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 (+.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)))
	55.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (neg.f32 cosTheta) (+.f32 (neg.f32 (/.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 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32))))))))
▶	97.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (*.f32 (neg.f32 cosTheta) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) cosTheta)))
✓	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (.f32 (.f32 (neg.f32 cosTheta) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) cosTheta)))
	98.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 (-.f32 (neg.f32 (.f32 (+.f32 (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) #s(literal 3/2 binary32) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 (.f32 (.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))))) (sqrt.f32 (PI.f32))))) cosTheta)) (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))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32) (sqrt.f32 (PI.f32))) cosTheta))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 #s(approx (- (+ c 1) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) #s(approx ( (- (+ c 1) (/ 1 (sqrt (PI)))) (PI)) (*.f32 (PI.f32) c)) (sqrt.f32 (PI.f32))) cosTheta))
▶	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	96.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (*.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) cosTheta)) cosTheta))
	96.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 cosTheta) (PI.f32) (/.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) c)) c)) cosTheta))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (PI.f32) (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) c)) c)))
	59.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 cosTheta cosTheta))))

Compiler

Compiled 2 151 to 1 795 computations (16.6% saved)

series37.0ms (0.8%)

Memory

25.9MiB live, 76.8MiB allocated; 4ms collecting garbage

Counts

38 → 132

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

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

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (- (- c -1) (/ 1 (sqrt (PI)))) (- c -1) c -1 (/ 1 (sqrt (PI))) (/ 1 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* cosTheta -2) 1))) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (+ c 1))
6.0ms	c	@	inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (- (- c -1) (/ 1 (sqrt (PI)))) (- c -1) c -1 (/ 1 (sqrt (PI))) (/ 1 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* cosTheta -2) 1))) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (+ c 1))
5.0ms	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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (- (- c -1) (/ 1 (sqrt (PI)))) (- c -1) c -1 (/ 1 (sqrt (PI))) (/ 1 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* cosTheta -2) 1))) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (+ c 1))
5.0ms	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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (- (- c -1) (/ 1 (sqrt (PI)))) (- c -1) c -1 (/ 1 (sqrt (PI))) (/ 1 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* cosTheta -2) 1))) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (+ c 1))
4.0ms	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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (- (- c -1) (/ 1 (sqrt (PI)))) (- c -1) c -1 (/ 1 (sqrt (PI))) (/ 1 (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1))) (+ (* (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+ c 1)) (/ (* 1 (sqrt (+ (* cosTheta -2) 1))) (* (sqrt (PI)) cosTheta)) (* 1 (sqrt (+ (* cosTheta -2) 1))) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (+ c 1))

rewrite201.0ms (4.1%)

Memory

12.9MiB live, 243.2MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	771	7573
0	828	6736
1	5873	6650
0	8067	6513
1	20156	6513

Stop Event

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

Counts

170 → 321

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

Outputs
(.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 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (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 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))))
(pow.f32 #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))) #s(literal -1 binary32))
#s(literal 1 binary32)
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)))
(-.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.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 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) #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))) #s(literal 1 binary32))
(+.f32 (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(-.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(+.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
(fabs.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(*.f32 cosTheta (neg.f32 cosTheta))
(neg.f32 (*.f32 cosTheta cosTheta))
(*.f32 #s(literal -1 binary32) cosTheta)
(*.f32 cosTheta #s(literal -1 binary32))
(neg.f32 cosTheta)
cosTheta
(*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta)
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32))) cosTheta)
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.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))
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(-.f32 (*.f32 #s(literal -2 binary32) cosTheta) #s(literal -1 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 #s(literal -2 binary32) cosTheta)))
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(+.f32 (*.f32 #s(literal -2 binary32) cosTheta) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))
(+.f32 #s(literal 1 binary32) (neg.f32 (+.f32 cosTheta cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(neg.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))
(neg.f32 (-.f32 (+.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 cosTheta)))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) cosTheta))
(-.f32 #s(literal 1 binary32) cosTheta)
(fma.f32 #s(literal -1 binary32) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta #s(literal -1 binary32) #s(literal 1 binary32))
(+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 cosTheta))
(neg.f32 (-.f32 cosTheta #s(literal 1 binary32)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(fabs.f32 (sqrt.f32 (PI.f32)))
(PI.f32)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32) (sqrt.f32 (PI.f32))) cosTheta))
(.f32 (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32) (sqrt.f32 (PI.f32))) cosTheta)
(.f32 cosTheta (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32) (sqrt.f32 (PI.f32))))
(-.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (.f32 (neg.f32 (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32))) cosTheta))
(-.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (neg.f32 (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (.f32 cosTheta (PI.f32)))))
(fma.f32 (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32)) cosTheta (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (.f32 cosTheta (PI.f32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(fma.f32 cosTheta (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(fma.f32 cosTheta (sqrt.f32 (PI.f32)) (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (*.f32 cosTheta (PI.f32))))
(fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (*.f32 cosTheta (PI.f32))))
(+.f32 (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (.f32 cosTheta (PI.f32))) (.f32 cosTheta (sqrt.f32 (PI.f32))))
(+.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (.f32 cosTheta (PI.f32))))
(.f32 (.f32 (*.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32)) cosTheta)
(.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (*.f32 cosTheta (PI.f32)))
(.f32 cosTheta (.f32 (*.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta))))
(.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32))
(.f32 (.f32 (*.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) cosTheta) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (*.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) cosTheta))
(.f32 (neg.f32 cosTheta) (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)))
(.f32 (PI.f32) (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)))
(neg.f32 (.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) cosTheta))
(.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta) #s(literal -1 binary32))
(*.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta))
(.f32 #s(literal -1 binary32) (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(*.f32 (neg.f32 cosTheta) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(neg.f32 (*.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(-.f32 c (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(+.f32 (-.f32 c #s(literal -1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal -1 binary32))))
(-.f32 c #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (neg.f32 c))
(+.f32 c #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) c)
(neg.f32 (-.f32 #s(literal -1 binary32) c))
c
#s(literal -1 binary32)
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal -1 binary32) (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))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) c) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) c) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) c) #s(literal -1 binary32)))
(pow.f32 (-.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) c) #s(literal -1 binary32)) #s(literal -1 binary32))
(-.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) c) #s(literal -1 binary32))
(-.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (neg.f32 (-.f32 c #s(literal -1 binary32))))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (-.f32 c #s(literal -1 binary32)))
(fma.f32 #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (-.f32 c #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (-.f32 c #s(literal -1 binary32)))
(+.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))
(-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))
(-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))
(+.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))
(.f32 #s(literal 1 binary32) (/.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 cosTheta (sqrt.f32 (PI.f32)))) (-.f32 c #s(literal -1 binary32)))))
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(/.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 cosTheta (sqrt.f32 (PI.f32)))) (-.f32 c #s(literal -1 binary32))))
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eval33.0ms (0.7%)

Memory: -9.0MiB live, 81.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 6 402 to 1 606 computations (74.9% saved)

prune31.0ms (0.6%)

Memory

11.5MiB live, 69.2MiB allocated; 12ms collecting garbage

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	339	10	349
Fresh	6	18	24
Picked	3	2	5
Done	0	1	1
Total	348	31	379

Accuracy

99.7%

Counts

379 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (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))))
▶	97.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (-.f32 c #s(literal -1 binary32))))
	98.1%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #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))))
	97.1%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) cosTheta)) (.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))))
	97.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (-.f32 c #s(literal -1 binary32))))
	97.2%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (sqrt (PI)) cosTheta)) (/.f32 (fma.f32 (-.f32 (.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (-.f32 c #s(literal -1 binary32))))
	98.2%	(/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) c) #s(literal -1 binary32)))
▶	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	93.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	97.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.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))))
▶	98.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))))
✓	98.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))))
	97.0%	(/.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)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))))
	93.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	49.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 c cosTheta))) (/.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (*.f32 cosTheta cosTheta))) cosTheta)))
	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (-.f32 (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) #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)))) c)) cosTheta)))
▶	93.9%	(/.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 (PI.f32)) cosTheta))))
	58.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 (+.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)))
	55.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (neg.f32 cosTheta) (+.f32 (neg.f32 (/.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 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32))))))))
▶	97.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 #s(approx (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))) (PI.f32)) cosTheta)))
✓	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	98.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 (-.f32 (neg.f32 (.f32 (+.f32 (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) #s(literal 3/2 binary32) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 (.f32 (.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))))) (sqrt.f32 (PI.f32))))) cosTheta)) (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))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32) (sqrt.f32 (PI.f32))) cosTheta))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 #s(approx (- (+ c 1) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) #s(approx ( (- (+ c 1) (/ 1 (sqrt (PI)))) (PI)) (*.f32 (PI.f32) c)) (sqrt.f32 (PI.f32))) cosTheta))
✓	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	96.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (*.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) cosTheta)) cosTheta))
	96.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 cosTheta) (PI.f32) (/.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) c)) c)) cosTheta))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (PI.f32) (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) c)) c)))
	59.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 cosTheta cosTheta))))

Compiler

Compiled 2 176 to 1 818 computations (16.5% saved)

series31.0ms (0.6%)

Memory

-25.7MiB live, 67.0MiB allocated; 4ms collecting garbage

Counts

47 → 140

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (* (sqrt (PI)) 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)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (neg (* (- 1 (/ 1 (sqrt (PI)))) cosTheta)) (* (- 1 (/ 1 (sqrt (PI)))) cosTheta) (- 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) 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) (/ (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- c -1) -1)
6.0ms	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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (* (sqrt (PI)) 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)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (neg (* (- 1 (/ 1 (sqrt (PI)))) cosTheta)) (* (- 1 (/ 1 (sqrt (PI)))) cosTheta) (- 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) 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) (/ (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- c -1) -1)
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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (* (sqrt (PI)) 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)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (neg (* (- 1 (/ 1 (sqrt (PI)))) cosTheta)) (* (- 1 (/ 1 (sqrt (PI)))) cosTheta) (- 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) 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) (/ (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- c -1) -1)
4.0ms	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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (* (sqrt (PI)) 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)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (neg (* (- 1 (/ 1 (sqrt (PI)))) cosTheta)) (* (- 1 (/ 1 (sqrt (PI)))) cosTheta) (- 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) 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) (/ (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- c -1) -1)
2.0ms	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)))) (+ (* (exp (* (neg cosTheta) cosTheta)) (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta))) 1) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) cosTheta (/ (sqrt (+ (* cosTheta -2) 1)) (* (sqrt (PI)) cosTheta)) (sqrt (+ (* cosTheta -2) 1)) (+ (* cosTheta -2) 1) -2 (* (sqrt (PI)) 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)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (* (sqrt (PI)) cosTheta) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta)) (* (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) cosTheta) (* (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (PI)) (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (neg (* (- 1 (/ 1 (sqrt (PI)))) cosTheta)) (* (- 1 (/ 1 (sqrt (PI)))) cosTheta) (- 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) 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) (/ (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (+ (* (neg cosTheta) cosTheta) 1) (/ 1 (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (+ (* (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/ (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (sqrt (PI))) (* 1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- c -1) -1)

rewrite214.0ms (4.4%)

Memory

0.2MiB live, 230.0MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	727	7687
0	789	6920
1	5184	6806
0	8312	6610
1	22947	6610

Stop Event

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

Counts

187 → 343

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

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

eval33.0ms (0.7%)

Memory: 21.8MiB live, 76.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 658 to 1 709 computations (74.3% saved)

prune37.0ms (0.8%)

Memory

-8.9MiB live, 83.5MiB allocated; 4ms collecting garbage

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	315	9	324
Fresh	3	20	23
Picked	3	2	5
Done	0	3	3
Total	321	34	355

Accuracy

99.7%

Counts

355 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (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))))
	48.6%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) #s(approx (exp ( (neg cosTheta) cosTheta)) #s(approx (+ (* (neg cosTheta) cosTheta) 1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))) (-.f32 c #s(literal -1 binary32))))
	98.1%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #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))))
	97.1%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) cosTheta)) (.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))))
	97.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (-.f32 c #s(literal -1 binary32))))
	96.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (-.f32 c #s(literal -1 binary32))))
	96.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (-.f32 c #s(literal -1 binary32))))
	98.2%	(/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) c) #s(literal -1 binary32)))
	96.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(approx (/ (- 1 cosTheta) cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32))))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	97.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.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))))
✓	98.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))))
✓	98.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))))
	97.0%	(/.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)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32))))
	93.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))
	93.6%	(/.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)))))
	49.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32)))) (/.f32 c cosTheta))) (/.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (*.f32 cosTheta cosTheta))) cosTheta)))
	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) (.f32 (+.f32 cosTheta (fma.f32 cosTheta (/.f32 (-.f32 (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) #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)))) c)) cosTheta)))
✓	93.9%	(/.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 (PI.f32)) cosTheta))))
	58.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 (+.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)))
	55.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (neg.f32 cosTheta) (+.f32 (neg.f32 (/.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 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32))))))))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (.f32 #s(approx ( (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) cosTheta)) (PI.f32)) cosTheta (.f32 cosTheta (sqrt.f32 (PI.f32)))))
	97.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (PI.f32) #s(approx (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) cosTheta))) cosTheta)))
✓	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	98.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (-.f32 (.f32 (-.f32 (neg.f32 (.f32 (+.f32 (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) #s(literal 3/2 binary32) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 (.f32 (.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))))) (sqrt.f32 (PI.f32))))) cosTheta)) (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))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32) (sqrt.f32 (PI.f32))) cosTheta))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 #s(approx (- (+ c 1) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) #s(approx ( (- (+ c 1) (/ 1 (sqrt (PI)))) (PI)) (*.f32 (PI.f32) c)) (sqrt.f32 (PI.f32))) cosTheta))
✓	94.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
	96.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (*.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) cosTheta)) cosTheta))
	96.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 cosTheta) (PI.f32) (/.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) c)) c)) cosTheta))
	97.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(approx (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) cosTheta)) (PI.f32)))))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (PI.f32) (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) c)) c)))
	59.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 cosTheta cosTheta))))

Compiler

Compiled 2 480 to 1 409 computations (43.2% saved)

regimes86.0ms (1.8%)

Memory

-5.1MiB live, 183.9MiB allocated; 9ms collecting garbage

Counts

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.5%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.5%	1	`(+.f32 #s(literal 1 binary32) c)`
98.5%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.5%	1	`cosTheta`
98.5%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes73.0ms (1.5%)

Memory

1.1MiB live, 146.3MiB allocated; 15ms collecting garbage

Counts

46 → 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 (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) #s(approx ( (- (+ c 1) (/ 1 (sqrt (PI)))) (PI)) (*.f32 (PI.f32) c)) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(approx (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) cosTheta)) (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 #s(approx (- (+ c 1) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (PI.f32) #s(approx (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) cosTheta))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (.f32 #s(approx ( (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) cosTheta)) (PI.f32)) cosTheta (.f32 cosTheta (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 #s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (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 (fma.f32 (.f32 (neg.f32 cosTheta) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta)) (PI.f32) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 #s(approx (* (neg cosTheta) (- (- c -1) (/ 1 (sqrt (PI))))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))) (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))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (*.f32 (neg.f32 cosTheta) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (.f32 (.f32 (neg.f32 cosTheta) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (*.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) cosTheta)) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (neg.f32 (PI.f32)) (-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) cosTheta)) (.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) #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)))) (/.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) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #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) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(approx (/ (- 1 cosTheta) cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32))))) #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))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) c) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.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) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #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) (fma.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (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))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(approx (+ ( (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) (.f32 (fma.f32 (neg.f32 cosTheta) (PI.f32) (/.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) c)) c)) cosTheta))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(approx (exp ( (neg cosTheta) cosTheta)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32))) #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))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* (+ (* (neg cosTheta) (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI))) (sqrt (PI))) cosTheta) (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (PI.f32) (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)) (sqrt.f32 (PI.f32))) cosTheta) c)) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (/.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) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (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 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) (.f32 (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)))) (/.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) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (*.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 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)))) #s(approx (/ (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) c) 1) (/ 1 (sqrt (PI)))) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (.f32 (neg.f32 cosTheta) (+.f32 (neg.f32 (/.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 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) 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)))) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) #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))))
12.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
12.0ms	cosTheta
11.0ms	c
11.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
98.5%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.5%	1	`(+.f32 #s(literal 1 binary32) c)`
98.5%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.5%	1	`cosTheta`
98.5%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes1.5s (31.3%)

Memory

-73.8MiB live, 186.3MiB allocated; 2.7s collecting garbage

Counts

40 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

1.5s	(+.f32 #s(literal 1 binary32) c)
18.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
13.0ms	cosTheta
10.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
9.0ms	c

Results

Accuracy	Segments	Branch
98.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.2%	1	`(+.f32 #s(literal 1 binary32) c)`
98.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.2%	1	`cosTheta`
98.2%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes51.0ms (1.1%)

Memory

42.5MiB live, 86.0MiB allocated; 9ms collecting garbage

Counts

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

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

Results

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

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes72.0ms (1.5%)

Memory

-22.8MiB live, 64.3MiB allocated; 45ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

33.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
17.0ms	c
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	cosTheta
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

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

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes36.0ms (0.7%)

Memory

13.2MiB live, 59.0MiB allocated; 10ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

13.0ms	(+.f32 #s(literal 1 binary32) c)
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
4.0ms	c
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	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))

Results

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

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes25.0ms (0.5%)

Memory

-6.8MiB live, 37.3MiB allocated; 10ms collecting garbage

Counts

9 → 1

Calls

Call 1

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

Calls

6 calls:

10.0ms	(+.f32 #s(literal 1 binary32) c)
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)))
3.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
3.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
3.0ms	c

Results

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

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes16.0ms (0.3%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes22.0ms (0.5%)

Memory

-9.3MiB live, 34.5MiB allocated; 9ms 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 (+ (* (- (+ (+ (* (/ cosTheta (sqrt (PI))) -3/2) 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (neg.f32 cosTheta) #s(approx ( (- (+ c 1) (/ 1 (sqrt (PI)))) (PI)) (*.f32 (PI.f32) c)) (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) #s(approx (* (- (+ c 1) (/ 1 (sqrt (PI)))) (PI)) (*.f32 (PI.f32) c)) (sqrt.f32 (PI.f32))) cosTheta))

Calls

6 calls:

10.0ms	c
2.0ms	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 #s(literal 1 binary32) 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)))

Results

Accuracy	Segments	Branch
94.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
94.2%	1	`(+.f32 #s(literal 1 binary32) c)`
94.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
94.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
94.2%	1	`cosTheta`
94.2%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes37.0ms (0.8%)

Memory

-13.7MiB live, 33.1MiB allocated; 26ms collecting garbage

Counts

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

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

Calls

6 calls:

26.0ms	(/.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 #s(literal 1 binary32) 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	cosTheta
2.0ms	c

Results

Accuracy	Segments	Branch
94.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
94.2%	1	`(+.f32 #s(literal 1 binary32) c)`
94.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
94.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
94.2%	1	`cosTheta`
94.2%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes6.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated; 0ms 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:

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

Results

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

Compiler

Compiled 60 to 58 computations (3.3% saved)

derivations454.0ms (9.3%)

Memory

8.1MiB live, 353.7MiB allocated; 195ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 230 to 89 computations (61.3% saved)

preprocess114.0ms (2.3%)

Memory: 48.0MiB live, 231.4MiB allocated; 52ms collecting garbage
Compiler: Compiled 251 to 107 computations (57.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze16.0ms (0.3%)

sample1.0s (21.5%)

preprocess64.0ms (1.3%)

series28.0ms (0.6%)

rewrite211.0ms (4.3%)

eval21.0ms (0.4%)

prune13.0ms (0.3%)

series37.0ms (0.8%)

rewrite232.0ms (4.8%)

eval43.0ms (0.9%)

prune29.0ms (0.6%)

series37.0ms (0.8%)

rewrite201.0ms (4.1%)

eval33.0ms (0.7%)

prune31.0ms (0.6%)

series31.0ms (0.6%)

rewrite214.0ms (4.4%)

eval33.0ms (0.7%)

prune37.0ms (0.8%)

regimes86.0ms (1.8%)

regimes73.0ms (1.5%)

regimes1.5s (31.3%)

regimes51.0ms (1.1%)

regimes72.0ms (1.5%)

regimes36.0ms (0.7%)

regimes25.0ms (0.5%)

regimes16.0ms (0.3%)

regimes22.0ms (0.5%)

regimes37.0ms (0.8%)

regimes6.0ms (0.1%)

derivations454.0ms (9.3%)

preprocess114.0ms (2.3%)

end0.0ms (0%)

Profiling