Beckmann Sample, normalization factor

Time bar (total: 11.8s)

start0.0ms (0%)

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

analyze29.0ms (0.2%)

Memory
6.4MiB live, 54.7MiB allocated; 3ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%12.3%87.7%0%0%0%0
0%0%12.3%87.7%0%0%0%1
50%6.2%6.2%87.7%0%0%0%2
50%6.2%6.2%87.7%0%0%0%3
75%9.2%3.1%87.7%0%0%0%4
75%9.2%3.1%87.7%0%0%0%5
87.5%10.8%1.5%87.7%0%0%0%6
87.5%10.8%1.5%87.7%0%0%0%7
93.8%11.5%0.8%87.7%0%0%0%8
93.8%11.5%0.8%87.7%0%0%0%9
96.9%11.9%0.4%87.7%0%0%0%10
96.9%11.9%0.4%87.7%0%0%0%11
98.4%12.1%0.2%87.7%0%0%0%12
Compiler

Compiled 41 to 29 computations (29.3% saved)

sample2.0s (17.1%)

Memory
-23.8MiB live, 2 521.9MiB allocated; 1.3s collecting garbage
Samples
1.6s8 256×0valid
14.0ms88×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-sub: 603.0ms (43.3% of total)
ival-mult: 186.0ms (13.4% of total)
ival-div: 167.0ms (12% of total)
ival-sqrt: 140.0ms (10.1% of total)
ival-add: 87.0ms (6.3% of total)
ival-exp: 78.0ms (5.6% of total)
ival-neg: 61.0ms (4.4% of total)
ival-pi: 53.0ms (3.8% of total)
exact: 8.0ms (0.6% of total)
adjust: 3.0ms (0.2% of total)
const: 3.0ms (0.2% of total)
ival-assert: 2.0ms (0.1% of total)
ival-and: 1.0ms (0.1% of total)
ival-<: 1.0ms (0.1% of total)
Bogosity

explain236.0ms (2%)

Memory
17.9MiB live, 445.1MiB allocated; 27ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f32 (PI.f32))
00-0-(PI.f32)
00-0-(*.f32 (neg.f32 cosTheta) cosTheta)
00-0-(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
00-0-(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
00-0-(+.f32 #s(literal 1 binary32) c)
00-0-cosTheta
00-0-(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
00-0-(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
00-0-c
00-0-(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
00-0-(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
00-0-(-.f32 #s(literal 1 binary32) cosTheta)
00-0-(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
00-0-#s(literal 1 binary32)
00-0-(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
00-0-(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
00-0-(neg.f32 cosTheta)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
72.0ms512×0valid
Compiler

Compiled 281 to 58 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 10.0ms (19.4% of total)
ival-mult: 9.0ms (17.4% of total)
ival-add: 7.0ms (13.6% of total)
ival-sqrt: 7.0ms (13.6% of total)
ival-exp: 5.0ms (9.7% of total)
ival-sub: 5.0ms (9.7% of total)
ival-neg: 5.0ms (9.7% of total)
ival-pi: 2.0ms (3.9% of total)
ival-true: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess170.0ms (1.4%)

Memory
-21.5MiB live, 263.8MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046158
1144142
2491134
32194132
01825
03325
16023
217322
374222
4374222
0878421
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (exp.f32 cosTheta) cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 0 binary32)) (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (-.f32 c #s(literal -1 binary32))))
Compiler

Compiled 25 to 18 computations (28% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Compiler

Compiled 25 to 18 computations (28% saved)

series39.0ms (0.3%)

Memory
-16.4MiB live, 74.2MiB allocated; 5ms collecting garbage
Counts
18 → 111
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ 1 cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* -1 cosTheta)) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) cosTheta)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 1))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (+ 1 (* -2 cosTheta))))
#s(approx (- 1 cosTheta) #s(hole binary32 1))
#s(approx (- 1 cosTheta) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* 1/2 (pow cosTheta 2)) 1)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))
#s(approx (* (neg cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (* (sqrt (/ 1 cosTheta)) (sqrt -2))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* (sqrt cosTheta) (sqrt -2))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (* -2 cosTheta)))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (* cosTheta (- (/ 1 cosTheta) 2))))
#s(approx (- 1 cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (- 1 cosTheta) #s(hole binary32 (* cosTheta (- (/ 1 cosTheta) 1))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (exp (* -1 (pow cosTheta 2)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* (sqrt cosTheta) (* (sqrt -1) (sqrt 2))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))))
#s(approx (- 1 cosTheta) #s(hole binary32 (* -1 (* cosTheta (- 1 (/ 1 cosTheta))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
#s(approx (+ 1 c) #s(hole binary32 1))
#s(approx (+ 1 c) #s(hole binary32 (+ 1 c)))
#s(approx c #s(hole binary32 c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ 1 c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 c))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))))
#s(approx (+ 1 c) #s(hole binary32 c))
#s(approx (+ 1 c) #s(hole binary32 (* c (+ 1 (/ 1 c)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
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))
11.0ms
cosTheta
@-inf
((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))
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)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))
3.0ms
c
@0
((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))
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)))) (+ 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))

rewrite141.0ms (1.2%)

Memory
-1.6MiB live, 196.6MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06346295
06575601
037835289
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
129 → 177
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ 1 cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* -1 cosTheta)) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) cosTheta)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 1))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (+ 1 (* -2 cosTheta))))
#s(approx (- 1 cosTheta) #s(hole binary32 1))
#s(approx (- 1 cosTheta) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* 1/2 (pow cosTheta 2)) 1)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))
#s(approx (* (neg cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (+ (* -1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))) (* -1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))) (* (sqrt -2) (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))) (+ (* 1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 5) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt -2) 4) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))) (+ (* -1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt -2) 2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 3)))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (pow (sqrt -2) 3) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))) (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (* (sqrt -2) (pow (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))) 2))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (exp (* -1 (pow cosTheta 2))) (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (sqrt -2))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 (* cosTheta (PI)))) (sqrt -2)))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (* (sqrt (/ 1 cosTheta)) (sqrt -2))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* (sqrt cosTheta) (sqrt -2))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2)))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ 1 (pow (sqrt -2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ 1 (pow (sqrt -2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ 1 (sqrt -2)))) (* (sqrt (/ 1 cosTheta)) (sqrt -2))))))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (* -2 cosTheta)))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (* cosTheta (- (/ 1 cosTheta) 2))))
#s(approx (- 1 cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (- 1 cosTheta) #s(hole binary32 (* cosTheta (- (/ 1 cosTheta) 1))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (exp (* -1 (pow cosTheta 2)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* 1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))) (pow cosTheta 4))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ (pow cosTheta 5) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 5) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/16 (/ (* (pow cosTheta 2) (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 4) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3))))) (* 1/2 (* (sqrt (/ cosTheta (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (+ (* 1/8 (* (sqrt (/ (pow cosTheta 3) (PI))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (* cosTheta (pow (exp (* -1 (pow cosTheta 2))) 2)) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))) (* (sqrt 2) (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))))))) (pow cosTheta 6))) (/ 1 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (sqrt 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (* (pow (sqrt 2) 3) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 2))))) (* 1/4 (/ (pow (exp (* -1 (pow cosTheta 2))) 2) (* (pow cosTheta 3) (* (PI) (* (pow (sqrt 2) 2) (pow (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))))) 3)))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3))))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (exp (* -1 (pow cosTheta 2))) (* (sqrt -1) (sqrt 2))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt -1)) (pow (sqrt 2) 3)))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3))))))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 (* cosTheta (PI)))) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow cosTheta 3) (PI)))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow cosTheta 7) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow cosTheta 5) (PI)))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (* 1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* (sqrt cosTheta) (* (sqrt -1) (sqrt 2))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2)))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(hole binary32 (* -1 (* cosTheta (+ (* -1/8 (* (sqrt (/ 1 (pow cosTheta 5))) (/ (sqrt -1) (pow (sqrt 2) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow cosTheta 7))) (/ (sqrt -1) (pow (sqrt 2) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow cosTheta 3))) (/ (sqrt -1) (sqrt 2)))) (* (sqrt (/ 1 cosTheta)) (* (sqrt -1) (sqrt 2))))))))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (* -1 (* cosTheta (- 2 (/ 1 cosTheta))))))
#s(approx (- 1 cosTheta) #s(hole binary32 (* -1 (* cosTheta (- 1 (/ 1 cosTheta))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* c (- (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (+ (* c (- (* c (+ (* -1 (/ c (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 4))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3)))) (/ 1 (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)))) (/ 1 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (+ 1 (+ c (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))
#s(approx (+ 1 c) #s(hole binary32 1))
#s(approx (+ 1 c) #s(hole binary32 (+ 1 c)))
#s(approx c #s(hole binary32 c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ 1 c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ (+ 1 (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ (- (+ 1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (/ (- (+ 1 (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) (pow c 3)))) (+ (* -1 (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) (pow c 2))) (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)))) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 c))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* c (+ 1 (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c))))))
#s(approx (+ 1 c) #s(hole binary32 c))
#s(approx (+ 1 c) #s(hole binary32 (* c (+ 1 (/ 1 c)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 3) c) (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2)) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (+.f32 c #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (+.f32 c #s(literal 1 binary32))))
(pow.f32 (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (+.f32 c #s(literal 1 binary32))) #s(literal -1 binary32))
#s(literal 1 binary32)
(/.f32 (-.f32 (*.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)))))
(/.f32 (+.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))) #s(literal 3 binary32))) (fma.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)))) (*.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)))))))
(-.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (+.f32 c #s(literal 1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (+.f32 c #s(literal 1 binary32)))
(+.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))) (+.f32 c #s(literal 1 binary32)))
(+.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))))
(+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 c c)) (-.f32 #s(literal 1 binary32) c))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 c c) c)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 c c) (*.f32 #s(literal 1 binary32) c))))
(+.f32 c #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))
(*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))) cosTheta)
(/.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal -1 binary32))
(sqrt.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(PI.f32)
(/.f32 (neg.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) cosTheta))
(/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 cosTheta cosTheta)) (+.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) cosTheta) (*.f32 #s(literal 2 binary32) cosTheta))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -2 binary32) cosTheta) (*.f32 #s(literal -2 binary32) cosTheta))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) cosTheta) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) cosTheta) (*.f32 #s(literal 2 binary32) cosTheta) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) cosTheta) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) cosTheta) (*.f32 #s(literal -2 binary32) cosTheta)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(+.f32 (*.f32 #s(literal -2 binary32) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) cosTheta))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta cosTheta (*.f32 #s(literal 1 binary32) cosTheta))))
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(pow.f32 (exp.f32 (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta)
(+.f32 (cosh.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) (sinh.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))))
(exp.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)
(*.f32 cosTheta (*.f32 #s(literal -1 binary32) 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 (*.f32 (*.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) (PI.f32)) cosTheta) #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)))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) 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 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32)) 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 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32)) 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 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) #s(literal -1 binary32) (/.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 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
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#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
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#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 #s(literal -1 binary32) cosTheta #s(literal 1 binary32)) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) cosTheta))
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#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (fma.f32 #s(literal -1 binary32) cosTheta #s(literal 1 binary32)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (fma.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (fma.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32)) cosTheta) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)))
#s(approx (- (- 1 cosTheta) cosTheta) #s(literal 1 binary32))
#s(approx (- (- 1 cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
#s(approx (- 1 cosTheta) #s(literal 1 binary32))
#s(approx (- 1 cosTheta) (fma.f32 #s(literal -1 binary32) cosTheta #s(literal 1 binary32)))
#s(approx cosTheta cosTheta)
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))
#s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
#s(approx (exp (* (neg cosTheta) cosTheta)) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
#s(approx (* (neg cosTheta) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
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#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal -2 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal -1/2 binary32)) (fma.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) #s(literal 1/2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) #s(literal 1/2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (*.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 cosTheta)) (sqrt.f32 #s(literal -2 binary32))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -2 binary32))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) #s(literal 1/2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -2 binary32)))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 5 binary32))) #s(literal 1/2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 7 binary32))) #s(literal 1/2 binary32))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) #s(literal 1/2 binary32))) (sqrt.f32 #s(literal -1/2 binary32)) (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal -2 binary32))))))))
#s(approx (- (- 1 cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))) cosTheta) #s(literal -1 binary32)))
#s(approx (- 1 cosTheta) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))) cosTheta) #s(literal -1 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (/.f32 c (*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (-.f32 (/.f32 c (*.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))) (pow.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal -2 binary32))) c (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 c (pow.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal 4 binary32))) #s(literal -1 binary32) (pow.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal -3 binary32))) c) (pow.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) #s(literal -2 binary32))) c (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)))
#s(approx (+ 1 c) #s(literal 1 binary32))
#s(approx (+ 1 c) (+.f32 c #s(literal 1 binary32)))
#s(approx c c)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32) #s(literal 1 binary32)) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (-.f32 (+.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (*.f32 c c)) #s(literal 1 binary32)) (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c))) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (*.f32 (*.f32 c c) c)) #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (*.f32 c c)) #s(literal -1 binary32) (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)))) c))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) c)
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))
#s(approx (+ 1 c) c)
#s(approx (+ 1 c) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) #s(literal 1 binary32)) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) c) #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))))) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) c) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) c) #s(literal -1 binary32)) #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))))) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) c) (*.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)))) c) #s(literal -1 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32))) c) #s(literal -1 binary32)) #s(literal 1 binary32)) c) #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) c) (-.f32 (*.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) #s(literal 1 binary32))))

eval29.0ms (0.2%)

Memory
13.3MiB live, 61.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 10 499 to 1 135 computations (89.2% saved)

prune65.0ms (0.6%)

Memory
-19.8MiB live, 123.4MiB allocated; 2ms collecting garbage
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1808188
Fresh000
Picked101
Done000
Total1818189
Accuracy
99.5%
Counts
189 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
55.5%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))))))
▶98.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶97.7%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (+.f32 (+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
98.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))))
▶54.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
55.2%
(/.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) c) (-.f32 (*.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) #s(literal 1 binary32)))))
▶97.9%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
Compiler

Compiled 998 to 512 computations (48.7% saved)

series235.0ms (2%)

Memory
47.4MiB live, 475.6MiB allocated; 32ms collecting garbage
Counts
76 → 516
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (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) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))
(/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
#s(literal 1/2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(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))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
(*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta)
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32)))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))))
(-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))))
(*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)))))
(*.f32 #s(literal -1 binary32) cosTheta)
#s(literal -1 binary32)
(fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))
(*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))
(fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))
(*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))
(pow.f32 (PI.f32) #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32))
#s(literal -3/2 binary32)
(fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))
(neg.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 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c))
(*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)
(+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))
(fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c))
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(exp.f32 #s(literal -1 binary32))
(*.f32 cosTheta cosTheta)
(*.f32 cosTheta c)
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (+.f32 (+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32)) 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 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 (+.f32 (+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 (+.f32 (+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(+.f32 (+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32))
(+.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c)
(fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))
(+.f32 c #s(literal 1 binary32))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)))
#s(approx (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)))
#s(approx (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) cosTheta)))
#s(approx (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) #s(hole binary32 (/ 1 cosTheta)))
#s(approx (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) #s(hole binary32 (/ (+ 1 (* -1 cosTheta)) cosTheta)))
#s(approx (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta)))
#s(approx (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) cosTheta)))
#s(approx (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) #s(hole binary32 (/ 1 cosTheta)))
#s(approx (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) #s(hole binary32 (/ (+ 1 (* -1 cosTheta)) cosTheta)))
#s(approx (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1))) cosTheta)))
#s(approx (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) #s(hole binary32 (/ (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1))) cosTheta)))
#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) #s(hole binary32 1))
#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) #s(hole binary32 (+ 1 (* cosTheta (- (* -1/2 cosTheta) 1)))))
#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) #s(hole binary32 (+ 1 (* cosTheta (- (* cosTheta (- (* -1/2 cosTheta) 1/2)) 1)))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 1))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (+ 1 (* -2 cosTheta))))
#s(approx (- 1 cosTheta) #s(hole binary32 1))
#s(approx (- 1 cosTheta) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* 1/2 (pow cosTheta 2)) 1)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))
#s(approx (* (neg cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* cosTheta (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))) (* -1 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI))))))))))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (+ (* -1 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) (* cosTheta (+ (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))) (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2)))))))))))))
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Calls

6 calls:

TimeVariablePointExpression
68.0ms
c
@0
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c)) 1) c) (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (exp -1) (* cosTheta cosTheta)) (exp -1) (* cosTheta cosTheta) (* cosTheta c) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta) (* (/ 1 (sqrt (PI))) -1) (/ 1 (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1))) (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1)) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta))) (+ c 1))
33.0ms
c
@inf
((/ 1 (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (- (- 1 cosTheta) cosTheta) 1/2) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta 1/2 (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt 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c)) 1) c) (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (exp -1) (* cosTheta cosTheta)) (exp -1) (* cosTheta cosTheta) (* cosTheta c) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) (/ (- (- 1 cosTheta) cosTheta) (PI)) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta) (* (/ 1 (sqrt (PI))) -1) (/ 1 (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1))) (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1)) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta))) (+ c 1))
30.0ms
cosTheta
@-inf
((/ 1 (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (- (- 1 cosTheta) cosTheta) 1/2) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta 1/2 (sqrt (PI)) (PI) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt 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27.0ms
c
@-inf
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20.0ms
cosTheta
@0
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rewrite334.0ms (2.8%)

Memory
-33.9MiB live, 631.1MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0224350450
0238748350
0928047246
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
592 → 687
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (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) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))
(/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
#s(literal 1/2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
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#s(approx (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)))) #s(hole binary32 (* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* -1 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) (* -1 (/ (+ (* -3/2 (PI)) (* -1 (* (sqrt (PI)) (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))))) (* 2 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))))))) c))) c)) (* -1 (pow (PI) 2)))))))
#s(approx (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI)))) #s(hole binary32 (* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (PI)) (+ (* -2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* -1 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))))) (* -1 (/ (+ (* -3/2 (PI)) (+ (* -1 (* (sqrt (PI)) (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))))) (* 2 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))))) (* -1 (/ (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (sqrt (/ 1 (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI))))))))) c)))) c))) c)) (* -1 (pow (PI) 2)))))))
#s(approx (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) #s(hole binary32 (* -1 (* (pow c 3) (+ (sqrt (pow (PI) 3)) (* -1 (/ (+ (* -2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* -1 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))) c)))))))
#s(approx (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) #s(hole binary32 (* -1 (* (pow c 3) (+ (sqrt (pow (PI) 3)) (* -1 (/ (+ (* -2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))))) (* 2 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))) c)))) c)))))))
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#s(approx (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) #s(hole binary32 (* (pow c 2) (+ (* -2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c) (sqrt (pow (PI) 3)))) (* -1 (sqrt (pow (PI) 3)))))))
#s(approx (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) #s(hole binary32 (* (pow c 2) (+ (* -1 (sqrt (pow (PI) 3))) (* -1 (/ (+ (* -1 (/ (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))) c)) (* 2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))) c))))))
#s(approx (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) #s(hole binary32 (* (pow c 2) (+ 1 (* 2 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c))))))
#s(approx (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2) #s(hole binary32 (* (pow c 2) (+ 1 (* -1 (/ (+ (* -2 (+ 1 (* -1 (sqrt (/ 1 (PI)))))) (* -1 (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) c))) c))))))
#s(approx (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c)) 1)))))
#s(approx (+ (* (/ 1 (sqrt (PI))) -1) c) #s(hole binary32 (* -1 (* c (- (* (/ 1 c) (sqrt (/ 1 (PI)))) 1)))))
#s(approx (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))) #s(hole binary32 (* -1 (* c (+ (* -3/2 (PI)) (* -1 (/ (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))) c)))))))
#s(approx (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) #s(hole binary32 (* -1 (* c (+ (* 3/2 (sqrt (/ 1 (PI)))) (* 3/2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c) (sqrt (/ 1 (PI))))))))))
#s(approx (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1)) #s(hole binary32 (* -1 (* c (+ (PI) (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) c))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))))
#s(approx (* (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) c) #s(hole binary32 (* -1 (* c (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (/ 1 c)))))))
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#s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) #s(hole binary32 (* -1 (/ (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c))))
#s(approx (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI))))))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1)))))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) #s(hole binary32 (* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))) c)))))))
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#s(approx (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI)))))))) c)) 1)))))
#s(approx (/ 1 (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1))) #s(hole binary32 (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))))
#s(approx (/ 1 (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 2) c) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))))
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#s(approx (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1)) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (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 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))) #s(literal -1 binary32))
#s(literal 1 binary32)
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c
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#s(literal -1 binary32)
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(*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))
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#s(literal 3 binary32)
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#s(literal 2 binary32)
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#s(literal -3/2 binary32)
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#s(approx (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
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#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) #s(literal 1 binary32))
#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(literal 1 binary32))
#s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx (- 1 cosTheta) #s(literal 1 binary32))
#s(approx (- 1 cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx cosTheta cosTheta)
#s(approx (exp (* (neg cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))
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#s(approx (* (neg cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
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#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (sqrt.f32 (PI.f32)))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))))))))
#s(approx (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))))))
#s(approx (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))))
#s(approx (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))))
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#s(approx (* -1 cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta)))
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#s(approx (/ 1 (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 c cosTheta)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))) c) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))) c) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (* (/ 1 (sqrt (PI))) (* (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (exp -1) (* cosTheta cosTheta)))) (+ c 1)) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) c)) #s(literal 1 binary32)))))

eval178.0ms (1.5%)

Memory
41.2MiB live, 420.1MiB allocated; 20ms collecting garbage
Compiler

Compiled 135 235 to 6 148 computations (95.5% saved)

prune761.0ms (6.5%)

Memory
-11.4MiB live, 1 723.6MiB allocated; 62ms collecting garbage
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 11061 116
Fresh213
Picked145
Done000
Total1 113111 124
Accuracy
99.6%
Counts
1 124 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
55.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
✓98.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 c (+.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c))))) cosTheta)))
▶98.2%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))))
✓54.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
▶54.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c)))
✓97.9%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
▶27.3%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta))
▶31.3%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 c c) c) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c c) c)) (sqrt.f32 (PI.f32)) (+.f32 (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 c c)) (/.f32 (fma.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))))) c (*.f32 (*.f32 (*.f32 c c) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) (*.f32 (*.f32 (*.f32 c c) c) c))))))) cosTheta))
▶27.2%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
Compiler

Compiled 2 989 to 1 082 computations (63.8% saved)

series449.0ms (3.8%)

Memory
-13.8MiB live, 936.6MiB allocated; 42ms collecting garbage
Counts
147 → 823
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))))
#s(literal 1 binary32)
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)))
(+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))
(+.f32 c #s(literal 1 binary32))
c
(/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 cosTheta cosTheta)
cosTheta
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(PI.f32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
(*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta)
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
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(*.f32 (*.f32 cosTheta cosTheta) cosTheta)
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#s(literal -3/2 binary32)
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#s(literal 3 binary32)
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#s(literal 3/2 binary32)
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#s(literal -2 binary32)
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(*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))
(/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) 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(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c))
(*.f32 (+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c)
(+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32))
#s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta))
(/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)
(fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c)))
(*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) c)
(fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(literal -1/2 binary32)
(*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (sqrt (/ 1 (PI)))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 1))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* 1/2 (pow cosTheta 2)) 1)))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (sqrt (/ 1 (PI)))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) #s(hole binary32 (/ 1 (PI))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) #s(hole binary32 (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 1))
#s(approx (- (- 1 cosTheta) cosTheta) #s(hole binary32 (+ 1 (* -2 cosTheta))))
#s(approx (- 1 cosTheta) #s(hole binary32 1))
#s(approx (- 1 cosTheta) #s(hole binary32 (+ 1 (* -1 cosTheta))))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) #s(hole binary32 (* cosTheta (sqrt (PI)))))
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Calls

6 calls:

TimeVariablePointExpression
64.0ms
cosTheta
@0
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(sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI)))) (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))) (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))) (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI))))))) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI))))) (* -2 (/ 1 (sqrt (PI)))) -2 (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))) (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2) (* 3/2 (PI)) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))) (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)) (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))) (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))) (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))) (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI)))))) (* -1 (pow (pow (PI) 3) 1/2)) (* (* (* c c) c) c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI)))) (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta)) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))) (/ 1 (* (* cosTheta cosTheta) cosTheta)) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))) (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)) (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) c) (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)))) (* (/ 1 c) (/ 1 (sqrt (PI))))) cosTheta) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)))) (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c))) (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ 1 c) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)) (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI)))))))) (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))) (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) -1/2 (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI)))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))
52.0ms
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)))) (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) (+ c 1) c (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (pow (exp -1) (* cosTheta cosTheta)) (exp -1) -1 (* cosTheta cosTheta) cosTheta (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (PI) 1/2 (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ 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51.0ms
c
@-inf
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50.0ms
c
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(+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt 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c) (/ 1 (sqrt (PI))))))
47.0ms
c
@inf
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(sqrt (PI))))) (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c))) (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ 1 c) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)) (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI)))))))) (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))) (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) -1/2 (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI)))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))

rewrite677.0ms (5.8%)

Memory
16.1MiB live, 1 248.2MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03751138213
04057128022
013118125502
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
970 → 1 110
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))))
#s(literal 1 binary32)
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)))
(+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))
(+.f32 c #s(literal 1 binary32))
c
(/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 cosTheta cosTheta)
cosTheta
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(PI.f32)
#s(literal 1/2 binary32)
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(*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta)
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
(*.f32 (*.f32 cosTheta cosTheta) cosTheta)
(fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))))
(sqrt.f32 (PI.f32))
(*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #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 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))
#s(literal -3/2 binary32)
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))
(pow.f32 (PI.f32) #s(literal 3 binary32))
#s(literal 3 binary32)
(pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))
#s(literal 2 binary32)
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(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta)
(fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta)))
(*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))
(/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta)
(fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal -1 binary32) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
(*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
#s(literal 3/2 binary32)
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#s(approx (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)) #s(hole binary32 (* (pow c 2) (+ (* -1 (/ (+ (* -2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta) (sqrt (pow (PI) 3)))) (* -1 (* (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) (* c cosTheta)) (sqrt (pow (PI) 3))))) c)) (* (/ 1 cosTheta) (sqrt (pow (PI) 3)))))))
#s(approx (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) #s(hole binary32 (* (pow c 2) (+ (* 2 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) (* c cosTheta))) (/ 1 cosTheta)))))
#s(approx (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) #s(hole binary32 (* (pow c 2) (+ (* -1 (/ (+ (* -2 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* -1 (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) (* c cosTheta)))) c)) (/ 1 cosTheta)))))
#s(approx (* (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) c) #s(hole binary32 (* -1 (* c (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (+ 1 (/ 1 c)))))))
#s(approx (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c)))))
#s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) #s(hole binary32 (* -1 (/ (- (* -1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) 1) c))))
#s(approx (/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)))) (* (/ 1 c) (/ 1 (sqrt (PI))))) cosTheta) #s(hole binary32 (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (- (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (sqrt (/ 1 (PI)))))))))) 1))) (* c cosTheta)))))
#s(approx (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)))) (* (/ 1 c) (/ 1 (sqrt (PI))))) #s(hole binary32 (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (- (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (sqrt (/ 1 (PI)))))))))) 1))) c))))
#s(approx (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c))) #s(hole binary32 (* -1 (/ (- (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (sqrt (/ 1 (PI)))))))))) 1) c))))
#s(approx (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)) #s(hole binary32 (* -1 (/ (- (* cosTheta (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (sqrt (/ 1 (PI))))))))) 1) c))))
#s(approx (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI)))))))) #s(hole binary32 (* -1 (/ (+ (sqrt (/ 1 (PI))) (+ (* 1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (sqrt (/ 1 (PI)))))))) c))))
#s(approx (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))) #s(hole binary32 (* -1 (/ (+ (* 1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (sqrt (/ 1 (PI))))))) c))))
#s(approx (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI)))))) #s(hole binary32 (* -1 (/ (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (sqrt (/ 1 (PI)))))) c))))
#s(approx (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))) #s(hole binary32 (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* 1/2 (sqrt (/ 1 (PI))))) c))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))))
(pow.f32 #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))) #s(literal -1 binary32))
#s(literal 1 binary32)
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)))
(/.f32 (+.f32 (pow.f32 (+.f32 c #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta) #s(literal 3 binary32))) (fma.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32)) (-.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)) (*.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)))))
(+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))
(/.f32 (fma.f32 (*.f32 c c) c #s(literal 1 binary32)) (fma.f32 c c (-.f32 #s(literal 1 binary32) (*.f32 c #s(literal 1 binary32)))))
(+.f32 c #s(literal 1 binary32))
c
(/.f32 (neg.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)))) (neg.f32 cosTheta))
(/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta)
(*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(+.f32 (cosh.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (sinh.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
(*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))
(*.f32 cosTheta cosTheta)
(pow.f32 cosTheta #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32)))
cosTheta
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 cosTheta (PI.f32)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(PI.f32)
#s(literal 1/2 binary32)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
(*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta)
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#s(literal -3/2 binary32)
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(sqrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))
(pow.f32 (PI.f32) #s(literal 3/2 binary32))
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(*.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(pow.f32 (PI.f32) #s(literal 3 binary32))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)))
#s(literal 3 binary32)
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(pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))
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#s(literal 2 binary32)
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(/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta)))) (neg.f32 cosTheta))
(/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta)
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))) cosTheta) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta)) cosTheta))
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(*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))
(/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (neg.f32 cosTheta))
(/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta)
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(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(literal -1/2 binary32)
(*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#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(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (-.f32 (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (PI.f32) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) cosTheta))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(literal 1 binary32))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)))))
#s(approx (* cosTheta cosTheta) (*.f32 cosTheta cosTheta))
#s(approx cosTheta cosTheta)
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)))))
#s(approx (- (- 1 cosTheta) cosTheta) #s(literal 1 binary32))
#s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx (- 1 cosTheta) #s(literal 1 binary32))
#s(approx (- 1 cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (*.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (sqrt.f32 (PI.f32)))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (sqrt.f32 (PI.f32)))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)) (*.f32 cosTheta (fma.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
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#s(approx (* (* cosTheta cosTheta) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) cosTheta))
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#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
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#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (PI.f32))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (*.f32 (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 #s(literal -1 binary32) (PI.f32)))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (*.f32 (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (*.f32 (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI)))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))
#s(approx (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (pow.f32 c #s(literal 3 binary32)))))
#s(approx (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (pow.f32 c #s(literal 3 binary32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (pow.f32 c #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
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#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))))
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#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) (*.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
#s(approx (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 (*.f32 cosTheta cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))
#s(approx (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))
#s(approx (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (sqrt.f32 (PI.f32)))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
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#s(approx (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (* (* cosTheta cosTheta) cosTheta)) (pow.f32 cosTheta #s(literal -3 binary32)))
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#s(approx (- (- 1 cosTheta) cosTheta) (*.f32 #s(literal -2 binary32) cosTheta))
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#s(approx (- 1 cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
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#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta)))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta)))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta))))))))))
#s(approx (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
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#s(approx (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 c c))))
#s(approx (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 c c)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 c c) cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (pow.f32 (*.f32 c cosTheta) #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 c c)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 c c) cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
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#s(approx (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 c (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta cosTheta)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 c (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta) (fma.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32)) (*.f32 (/.f32 (pow.f32 c #s(literal 3 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))))
#s(approx (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) (*.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (sqrt.f32 (PI.f32))))
#s(approx (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32)) (*.f32 (/.f32 (pow.f32 c #s(literal 3 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (*.f32 cosTheta (fma.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta)))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
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#s(approx (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) cosTheta)))) cosTheta)))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) cosTheta)))) cosTheta))))))
#s(approx (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta)))
#s(approx (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) cosTheta)))) cosTheta)))
#s(approx (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))))
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#s(approx (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 c c)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 (*.f32 c c) cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 c c)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) cosTheta) (*.f32 #s(literal 3/2 binary32) (/.f32 (PI.f32) (*.f32 c c))))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) cosTheta) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 (PI.f32) cosTheta)) cosTheta)))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))
#s(approx (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 c (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (pow.f32 c #s(literal 4 binary32)))))
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#s(approx (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) (pow.f32 c #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (pow.f32 c #s(literal 3 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))) cosTheta) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (pow.f32 c #s(literal 3 binary32))))))))
#s(approx (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 c (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) cosTheta) (*.f32 c (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))))
#s(approx (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 c (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 c (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (*.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))) cosTheta)) (*.f32 c (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta))) cosTheta)))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 c #s(literal 3 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta) (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
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#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) cosTheta)) (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) cosTheta))))
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#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (*.f32 c (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 c (fma.f32 #s(literal -1 binary32) (*.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (fma.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (fma.f32 c (fma.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
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#s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (+.f32 (sqrt.f32 (PI.f32)) (fma.f32 c (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))))
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#s(approx (* (* c c) c) (pow.f32 c #s(literal 3 binary32)))
#s(approx (* c c) (*.f32 c c))
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#s(approx (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (*.f32 c (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))))
#s(approx (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (*.f32 c (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (*.f32 (*.f32 c c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))
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#s(approx (* (* (* c c) c) c) (pow.f32 c #s(literal 4 binary32)))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (fma.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (fma.f32 c (fma.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (fma.f32 c (fma.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (pow.f32 cosTheta #s(literal -3 binary32)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
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#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) cosTheta))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (pow.f32 c #s(literal 3 binary32))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 c c)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c)))))))
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#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) c (*.f32 (*.f32 c c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) (pow.f32 c #s(literal 3 binary32))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) cosTheta))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (pow.f32 c #s(literal 3 binary32))) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) c (*.f32 (*.f32 c c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) (pow.f32 c #s(literal 3 binary32)))))))
#s(approx (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (*.f32 (pow.f32 c #s(literal 3 binary32)) (*.f32 (PI.f32) (PI.f32))))
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#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c)))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (PI.f32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) c)) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))
#s(approx (* -1 (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (PI.f32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) cosTheta))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) c)) c))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (PI.f32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) c))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) cosTheta))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (PI.f32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -2 binary32) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) c))))))
#s(approx (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) (* -1 (/ (+ (* -1 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) cosTheta))) cosTheta)) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))) c) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32)))))))
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#s(approx (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)) (*.f32 (*.f32 c c) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 c cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))) c) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
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#s(approx (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (*.f32 (*.f32 c c) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 c cosTheta)))) c) (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)))))
#s(approx (* (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) c) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 c cosTheta)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))))
#s(approx (+ (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) 1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) c))))
#s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) c)))
#s(approx (/ (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)))) (* (/ 1 c) (/ 1 (sqrt (PI))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) #s(literal 1 binary32)))) (*.f32 c cosTheta))))
#s(approx (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)))) (* (/ 1 c) (/ 1 (sqrt (PI))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) #s(literal 1 binary32)))) c)))
#s(approx (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) #s(literal 1 binary32)) c)))
#s(approx (+ (* cosTheta (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))))) (/ 1 c)) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) #s(literal 1 binary32)) c)))
#s(approx (+ (* -1 (* (/ 1 c) (/ 1 (sqrt (PI))))) (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI)))))))) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) c) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) c))))
#s(approx (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) c)))
#s(approx (* cosTheta (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI)))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c)))
#s(approx (+ (* -1/2 (* (/ 1 c) (/ 1 (sqrt (PI))))) (* (/ 1 c) (/ 1 (sqrt (PI))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) c)))

eval509.0ms (4.3%)

Memory
12.8MiB live, 1 159.2MiB allocated; 70ms collecting garbage
Compiler

Compiled 746 266 to 16 309 computations (97.8% saved)

prune1.9s (15.8%)

Memory
9.2MiB live, 4 472.6MiB allocated; 96ms collecting garbage
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New2 24132 244
Fresh022
Picked235
Done044
Total2 243122 255
Accuracy
99.6%
Counts
2 255 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
▶55.8%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
✓98.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶97.4%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 c (+.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c))))) cosTheta)))
▶98.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
✓54.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
✓54.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c)))
✓97.9%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
▶27.2%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) #s(approx (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI)))) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta))
✓31.3%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 c c) c) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c c) c)) (sqrt.f32 (PI.f32)) (+.f32 (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 c c)) (/.f32 (fma.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))))) c (*.f32 (*.f32 (*.f32 c c) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) (*.f32 (*.f32 (*.f32 c c) c) c))))))) cosTheta))
✓27.2%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
▶34.2%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
Compiler

Compiled 3 701 to 1 241 computations (66.5% saved)

series396.0ms (3.4%)

Memory
-1.3MiB live, 711.9MiB allocated; 29ms collecting garbage
Counts
154 → 936
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
#s(literal 1 binary32)
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta)))
(+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))
(+.f32 c #s(literal 1 binary32))
c
(/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta)
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32)))
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 cosTheta cosTheta)
cosTheta
(pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)))))))
(*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32)))
(*.f32 cosTheta (PI.f32))
(PI.f32)
(*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))
#s(literal 2 binary32)
(/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)))
(neg.f32 (PI.f32))
#s(literal 1/2 binary32)
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#s(literal 3 binary32)
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(sqrt.f32 (PI.f32))
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#s(literal -3/2 binary32)
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#s(literal -2 binary32)
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#s(literal 3/2 binary32)
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#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 c (+.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c))))) cosTheta))
(/.f32 #s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 c (+.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c))))) cosTheta)
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 c (+.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c)))))
(*.f32 c (+.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c))))
(+.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c)))
(fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c))
(/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c)
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
(+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
(*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))
(+.f32 #s(literal 1 binary32) c)
(*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))
(/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (sqrt (/ 1 (PI)))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 1))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* 1/2 (pow cosTheta 2)) 1)))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (sqrt (/ 1 (PI)))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) #s(hole binary32 (/ 1 (PI))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) #s(hole binary32 (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))))
#s(approx (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI)))))) #s(hole binary32 (/ 1 (PI))))
#s(approx (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI)))))) #s(hole binary32 (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))))
#s(approx (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI))))) #s(hole binary32 (/ 1 (* cosTheta (PI)))))
#s(approx (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI))))) #s(hole binary32 (/ (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) cosTheta)))
#s(approx (/ 1 (* cosTheta (PI))) #s(hole binary32 (/ 1 (* cosTheta (PI)))))
#s(approx (* cosTheta (PI)) #s(hole binary32 (* cosTheta (PI))))
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Calls

6 calls:

TimeVariablePointExpression
45.0ms
cosTheta
@-inf
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(pow c 3) 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)))) c)) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) c)) (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (/ (+ (* -1 (/ (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt 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c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow 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(+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))))) (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (* (+ 1 c) (+ 1 c)) (+ 1 c) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta) (pow (- (- 1 cosTheta) cosTheta) 1/2) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))))
42.0ms
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)))) (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) (+ c 1) c (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (pow (exp -1) (* cosTheta cosTheta)) (exp -1) -1 (* cosTheta cosTheta) cosTheta (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) (/ (- (- 1 cosTheta) cosTheta) (PI)) (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI)))))) (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI))))) (/ 1 (* cosTheta (PI))) (* cosTheta (PI)) (PI) (* 2 (/ -1 (neg (PI)))) 2 (/ -1 (neg (PI))) (neg (PI)) 1/2 (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- 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(+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt 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(pow c 3) 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)))) c)) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))))) c)) (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (/ (+ (* -1 (/ (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt 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(* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (* cosTheta 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(PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* (pow (pow (PI) 3) 1/2) (+ 1 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37.0ms
cosTheta
@0
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(+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt 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(pow c 3) 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)))) c)) (* (* cosTheta 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33.0ms
c
@0
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32.0ms
c
@-inf
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(* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI)))) (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))) (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 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(* -1 (/ 1 (sqrt (PI)))))))) (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))) (* 3/2 (PI)) 3/2 (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))) (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c))) (* (/ 1 c) (sqrt (PI))) (/ 1 c) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)) (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c) (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))) (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI)))))) (* -1 (pow (pow (PI) 3) 1/2)) (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI))) (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) cosTheta) (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) 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rewrite611.0ms (5.2%)

Memory
10.0MiB live, 1 045.1MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04529163681
04837148051
08626145419
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
1 090 → 1 201
Calls
Call 1
Inputs
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(pow.f32 c #s(literal 3 binary32))
#s(literal 3 binary32)
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(sqrt.f32 (PI.f32))
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#s(literal -3/2 binary32)
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#s(literal -2 binary32)
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#s(literal 3/2 binary32)
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(-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
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(+.f32 #s(literal 1 binary32) c)
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(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))
(/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (sqrt (PI)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* cosTheta (+ (sqrt (PI)) (* cosTheta (- (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (* (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))) (* (PI) (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))) 2))) (* (PI) (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) (* (PI) (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (* -1 (sqrt (/ 1 (PI)))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))))) cosTheta)))
#s(approx (+ (+ c 1) (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta)) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ c (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI)))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI))))))))) cosTheta)))
#s(approx (/ (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) cosTheta) #s(hole binary32 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI)))))))))))) cosTheta)))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (sqrt (/ 1 (PI)))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (sqrt (/ 1 (PI)))))))))))
#s(approx (* (pow (exp -1) (* cosTheta cosTheta)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* -1/2 (sqrt (/ 1 (PI)))) (* cosTheta (+ (sqrt (/ 1 (PI))) (* -1/2 (sqrt (/ 1 (PI))))))))))))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 1))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* 1/2 (pow cosTheta 2)) 1)))))
#s(approx (pow (exp -1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (* (pow cosTheta 2) (+ 1/2 (* -1/6 (pow cosTheta 2)))) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (sqrt (/ 1 (PI)))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* -1 (* cosTheta (sqrt (/ 1 (PI))))))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))
#s(approx (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2) #s(hole binary32 (+ (sqrt (/ 1 (PI))) (* cosTheta (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -1/2 (sqrt (/ 1 (PI)))) (* -1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) #s(hole binary32 (/ 1 (PI))))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) #s(hole binary32 (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))))
#s(approx (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI)))))) #s(hole binary32 (/ 1 (PI))))
#s(approx (* cosTheta (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI)))))) #s(hole binary32 (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI)))))
#s(approx (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI))))) #s(hole binary32 (/ 1 (* cosTheta (PI)))))
#s(approx (- (/ 1 (* cosTheta (PI))) (* 2 (/ -1 (neg (PI))))) #s(hole binary32 (/ (+ (* -2 (/ cosTheta (PI))) (/ 1 (PI))) cosTheta)))
#s(approx (/ 1 (* cosTheta (PI))) #s(hole binary32 (/ 1 (* cosTheta (PI)))))
#s(approx (* cosTheta (PI)) #s(hole binary32 (* cosTheta (PI))))
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#s(approx (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))) #s(hole binary32 (* -1 (* (pow c 3) (+ (sqrt (pow (PI) 3)) (* -1 (/ (+ (* -2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (+ (* -1 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* -1 (/ (+ (* -1 (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2))))) (* 2 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))) c)))) c)))))))
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#s(approx (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c)) 1)))))
#s(approx (+ c (* -1 (/ 1 (sqrt (PI))))) #s(hole binary32 (* -1 (* c (- (* (/ 1 c) (sqrt (/ 1 (PI)))) 1)))))
#s(approx (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2)))) #s(hole binary32 (* (pow c 2) (+ (* -2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c) (sqrt (pow (PI) 3)))) (* -1 (sqrt (pow (PI) 3)))))))
#s(approx (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2)))) #s(hole binary32 (* (pow c 2) (+ (* -1 (sqrt (pow (PI) 3))) (* -1 (/ (+ (* -1 (/ (+ (* -3/2 (sqrt (PI))) (* -1 (* (sqrt (pow (PI) 3)) (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2)))) c)) (* 2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))) c))))))
#s(approx (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))) #s(hole binary32 (* (pow c 2) (+ (* -2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c) (sqrt (pow (PI) 3)))) (* -1 (sqrt (pow (PI) 3)))))))
#s(approx (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))) #s(hole binary32 (* (pow c 2) (+ (* -1 (sqrt (pow (PI) 3))) (* -1 (/ (+ (* 2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) c) (sqrt (pow (PI) 3)))) c))))))
#s(approx (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2)) #s(hole binary32 (* (pow c 2) (+ (sqrt (pow (PI) 3)) (* 2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c) (sqrt (pow (PI) 3))))))))
#s(approx (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2)) #s(hole binary32 (* (pow c 2) (+ (sqrt (pow (PI) 3)) (* -1 (/ (+ (* -2 (* (sqrt (pow (PI) 3)) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* -1 (* (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) c) (sqrt (pow (PI) 3))))) c))))))
#s(approx (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) #s(hole binary32 (* (pow c 2) (+ 1 (* 2 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) c))))))
#s(approx (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) #s(hole binary32 (* (pow c 2) (+ 1 (* -1 (/ (+ (* -2 (+ 1 (* -1 (sqrt (/ 1 (PI)))))) (* -1 (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) c))) c))))))
#s(approx (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))) #s(hole binary32 (* -1 (* c (+ (* -3/2 (PI)) (* -1 (/ (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))))) c)))))))
#s(approx (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) #s(hole binary32 (* -1 (* c (+ (* -3/2 (PI)) (* -3/2 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) c)))))))
#s(approx (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) #s(hole binary32 (* -1 (* c (+ (* -1 (PI)) (* -1 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) c)))))))
#s(approx (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI)))) #s(hole binary32 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) (pow cosTheta 2))) (* (/ 1 (pow cosTheta 3)) (sqrt (PI)))) c)) (/ (PI) (pow cosTheta 2)))))))
#s(approx (/ (+ (* -1 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* cosTheta cosTheta)) #s(hole binary32 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI)))))) (pow cosTheta 2))) (* (/ 1 (pow cosTheta 3)) (sqrt (PI)))) c)) (/ (PI) (pow cosTheta 2)))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))))) (* (/ -1 (neg cosTheta)) (sqrt (PI)))) #s(hole binary32 (* -1 (* c (+ (PI) (* -1 (/ (+ (* -1 (* (PI) (+ 1 (* -1 (sqrt (/ 1 (PI))))))) (* (/ 1 cosTheta) (sqrt (PI)))) c)))))))
#s(approx (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))) #s(hole binary32 (* (pow c 2) (+ (* -2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) (* c cosTheta)) (sqrt (pow (PI) 3)))) (* -1 (* (/ 1 cosTheta) (sqrt (pow (PI) 3))))))))
#s(approx (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))) #s(hole binary32 (* (pow c 2) (+ (* -1 (* (/ 1 cosTheta) (sqrt (pow (PI) 3)))) (* -1 (/ (+ (* -1 (/ (+ (* -3/2 (* (/ 1 cosTheta) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) cosTheta) (sqrt (pow (PI) 3))))) c)) (* 2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta) (sqrt (pow (PI) 3))))) c))))))
#s(approx (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))) #s(hole binary32 (* (pow c 2) (+ (* -2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) (* c cosTheta)) (sqrt (pow (PI) 3)))) (* -1 (* (/ 1 cosTheta) (sqrt (pow (PI) 3))))))))
#s(approx (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))) #s(hole binary32 (* (pow c 2) (+ (* -1 (* (/ 1 cosTheta) (sqrt (pow (PI) 3)))) (* -1 (/ (+ (* 2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta) (sqrt (pow (PI) 3)))) (* (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) (* c cosTheta)) (sqrt (pow (PI) 3)))) c))))))
#s(approx (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)) #s(hole binary32 (* (pow c 2) (+ (* 2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) (* c cosTheta)) (sqrt (pow (PI) 3)))) (* (/ 1 cosTheta) (sqrt (pow (PI) 3)))))))
#s(approx (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)) #s(hole binary32 (* (pow c 2) (+ (* -1 (/ (+ (* -2 (* (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta) (sqrt (pow (PI) 3)))) (* -1 (* (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) (* c cosTheta)) (sqrt (pow (PI) 3))))) c)) (* (/ 1 cosTheta) (sqrt (pow (PI) 3)))))))
#s(approx (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) #s(hole binary32 (* (pow c 2) (+ (* 2 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) (* c cosTheta))) (/ 1 cosTheta)))))
#s(approx (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) #s(hole binary32 (* (pow c 2) (+ (* -1 (/ (+ (* -2 (/ (+ 1 (* -1 (sqrt (/ 1 (PI))))) cosTheta)) (* -1 (/ (pow (+ 1 (* -1 (sqrt (/ 1 (PI))))) 2) (* c cosTheta)))) c)) (/ 1 cosTheta)))))
#s(approx (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (+ (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI))))))) (* (/ 1 cosTheta) (sqrt (/ 1 (PI))))))) c)) 1)))))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) #s(hole binary32 (* -1 (* c (+ (* -1 cosTheta) (* -1 (/ (+ (sqrt (/ 1 (PI))) (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI))))))))))) c)))))))
#s(approx (* c (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)))) #s(hole binary32 (* -1 (* c (+ (* -1 cosTheta) (+ (* -1 (* (/ 1 c) (sqrt (/ 1 (PI))))) (* -1 (/ (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))) c))))))))
#s(approx (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c))) #s(hole binary32 (+ cosTheta (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))))) c)))))
#s(approx (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)) #s(hole binary32 (* -1 (/ (+ (* -1 (sqrt (/ 1 (PI)))) (* -1 (* cosTheta (+ 1 (+ (* -1 (sqrt (/ 1 (PI)))) (* cosTheta (+ (* -3/2 (sqrt (/ 1 (PI)))) (* 1/2 (* cosTheta (sqrt (/ 1 (PI)))))))))))) c))))
#s(approx (/ 1 (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))))) #s(hole binary32 (* -1 (/ (- (+ (* (/ (exp (* -1 (pow cosTheta 2))) (* c cosTheta)) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))) (/ 1 c)) 1) c))))
#s(approx (/ 1 (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- 1 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (- 1 (* 2 cosTheta))) (* (pow cosTheta 2) (PI)))) c)) (* 2 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c))) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))))
#s(approx (/ 1 (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (- 1 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (- 1 (* 2 cosTheta))) (* (pow cosTheta 2) (PI))))) c)) (* 2 (/ (+ (* -1 (- 1 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (- 1 (* 2 cosTheta))) (* (pow cosTheta 2) (PI))))) (* 2 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))) c))) (+ (* -1 (- 1 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (- 1 (* 2 cosTheta))) (* (pow cosTheta 2) (PI))))) (* 2 (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) c)) (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1) c))))
#s(approx (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))))
#s(approx (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 (- 1 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (- 1 (* 2 cosTheta))) (* (pow cosTheta 2) (PI))))) (* -1 (* (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (- 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) c)) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1)))))
#s(approx (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (+ 1 (+ (* -1 (/ (- (+ (* -1 (- 1 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (- 1 (* 2 cosTheta))) (* (pow cosTheta 2) (PI))))) (* -1 (/ (* (- 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (- (* -1 (- 1 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (- 1 (* 2 cosTheta))) (* (pow cosTheta 2) (PI))))) (* -1 (* (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (- 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))))))) c))) (* -1 (* (+ 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) (- 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))))) c)) (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI)))))) c)) 1)))))
#s(approx (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) #s(hole binary32 (* (pow c 2) (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ (* (pow (exp (* -1 (pow cosTheta 2))) 2) (- 1 (* 2 cosTheta))) (* (pow cosTheta 2) (PI)))) c)) 2) c))))))
#s(approx (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) #s(hole binary32 (* -1 (* c (- (* -1 (/ (- 1 (* (/ (exp (* -1 (pow cosTheta 2))) cosTheta) (sqrt (/ (- 1 (* 2 cosTheta)) (PI))))) c)) 1)))))
Outputs
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.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 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))))) cosTheta))))
(pow.f32 #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))))) cosTheta))) #s(literal -1 binary32))
#s(literal 1 binary32)
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))))) cosTheta)))
(+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))))) cosTheta))
(+.f32 c #s(literal 1 binary32))
c
(/.f32 (neg.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)))))))))) (neg.f32 cosTheta))
(/.f32 (*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))))) cosTheta)
(*.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)))))))))
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta)
(pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))
(+.f32 (cosh.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) (sinh.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32)))
(exp.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
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cosTheta
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#s(literal 2 binary32)
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(neg.f32 (PI.f32))
#s(literal 1/2 binary32)
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(exp.f32 (*.f32 (log.f32 c) #s(literal 3 binary32)))
#s(literal 3 binary32)
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(sqrt.f32 (PI.f32))
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#s(literal -3/2 binary32)
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#s(literal -2 binary32)
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#s(literal 3/2 binary32)
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(*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(pow.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) #s(literal 2 binary32))
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(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))
(/.f32 (neg.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))) (neg.f32 cosTheta))
(/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) 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))
(exp.f32 (*.f32 (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1/2 binary32)))
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(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (fma.f32 cosTheta cosTheta (*.f32 #s(literal 1 binary32) cosTheta))))
(-.f32 #s(literal 1 binary32) cosTheta)
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
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(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
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#s(approx (* cosTheta (PI)) (*.f32 cosTheta (PI.f32)))
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#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (*.f32 (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
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#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 #s(literal -1 binary32) (PI.f32)))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (+.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (*.f32 (*.f32 cosTheta (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))
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#s(approx (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
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#s(approx (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c)))))
#s(approx (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c)))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 (*.f32 cosTheta cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))
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#s(approx (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))
#s(approx (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))))
#s(approx (* (* cosTheta cosTheta) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) cosTheta))
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#s(approx (* (/ -1 (neg cosTheta)) (sqrt (PI))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))))
#s(approx (/ -1 (neg cosTheta)) (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)))
#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta))
#s(approx (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))
#s(approx (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
#s(approx (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta))
#s(approx (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))
#s(approx (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -3/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta)))
#s(approx (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) cosTheta))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -3/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (* c (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(approx (* c (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)))) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 c (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))))
#s(approx (* c (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)))) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))))))))
#s(approx (* c (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)))) (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 c (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c))) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c))) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 cosTheta c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c))) (fma.f32 cosTheta (+.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) c)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)) (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)) (fma.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 cosTheta c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))
#s(approx (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 cosTheta c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)))))
#s(approx (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c) (*.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 cosTheta c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) c)))))
#s(approx (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
#s(approx (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -3/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))
#s(approx (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI))))))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI))))))))) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -3/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
#s(approx (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI))))))))) (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
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#s(approx (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI))))))) (*.f32 #s(literal -3/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI))))))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))) (*.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
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#s(approx (* cosTheta (/ 1 (sqrt (PI)))) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
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#s(approx (pow (- (- 1 cosTheta) cosTheta) 1/2) #s(literal 1 binary32))
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#s(approx (- 1 cosTheta) #s(literal 1 binary32))
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(sqrt.f32 (PI.f32)))))) (pow.f32 c #s(literal 3 binary32))))) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (pow.f32 c #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c c)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 c c)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c)) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) cosTheta)))))
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#s(approx (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 c cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal 3/2 binary32) (PI.f32) (fma.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (+.f32 (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (PI.f32) c) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta cosTheta))))))))))))))
#s(approx (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (PI.f32))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c (*.f32 (*.f32 cosTheta cosTheta) cosTheta))) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 c cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal 3/2 binary32) (PI.f32) (fma.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (+.f32 (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (PI.f32) c) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta cosTheta)))))))))))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))))
#s(approx (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 c cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))))))
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#s(approx (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 c cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (*.f32 (/.f32 (PI.f32) c) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta cosTheta))))))))))
#s(approx (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c)))
#s(approx (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 c cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c)))))
#s(approx (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) c) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta cosTheta))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 c cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (*.f32 cosTheta (fma.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta)))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
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#s(approx (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))) cosTheta))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c)))))))
#s(approx (+ (* -1 (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))))) (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (PI.f32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (sqrt.f32 (PI.f32))))) cosTheta))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c)))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))
#s(approx (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (PI.f32) cosTheta) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))
#s(approx (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 (PI.f32) cosTheta)) cosTheta)))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 #s(literal 3/2 binary32) (PI.f32)))))))
#s(approx (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c))) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c))
#s(approx (+ (* -1 (* (/ 1 c) (sqrt (PI)))) (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c))))))
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#s(approx (* -1 (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c)) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (/.f32 (PI.f32) c) (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))) cosTheta) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c))))))
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#s(approx (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (PI.f32) c) (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 3/2 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))
#s(approx (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta))) cosTheta)))))
#s(approx (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2))) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta) (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta))))
#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) cosTheta)) (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) cosTheta))))
#s(approx (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) cosTheta)))
#s(approx (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
#s(approx (/ (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) cosTheta) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) c) cosTheta))) cosTheta) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (* c (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (* c (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))) cosTheta))) cosTheta) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (* c (+ cosTheta (+ (* (/ 1 c) (/ 1 (sqrt (PI)))) (/ (* cosTheta (+ 1 (+ (* -1 (/ 1 (sqrt (PI)))) (* cosTheta (+ (* -3/2 (/ 1 (sqrt (PI)))) (* 1/2 (* cosTheta (/ 1 (sqrt (PI)))))))))) c)))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))) cosTheta))) cosTheta) (*.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
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#s(approx (+ c 1) #s(literal 1 binary32))
#s(approx (+ c 1) (+.f32 #s(literal 1 binary32) c))
#s(approx c c)
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#s(approx (/ 1 c) (/.f32 #s(literal 1 binary32) c))
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#s(approx (/ (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI)))))))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))))) c) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (fma.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (fma.f32 c (fma.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))
#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (fma.f32 c (fma.f32 c (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 c (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (fma.f32 #s(literal -2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta))))))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))))
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#s(approx (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2))))) (*.f32 (pow.f32 c #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) c) (sqrt.f32 (PI.f32)))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 c cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))
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#s(approx (* (* (* cosTheta cosTheta) cosTheta) (- (+ (* -1 (+ (* -1 (* (sqrt (PI)) (* (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI))))) (+ (* -3/2 (* (/ -1 (neg cosTheta)) (sqrt (PI)))) (* -1 (* (/ (pow (+ 1 (+ c (* -1 (/ 1 (sqrt (PI)))))) 2) cosTheta) (pow (pow (PI) 3) 1/2)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (PI.f32) (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))) (/.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 #s(literal 2 binary32) (*.f32 (+.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (/.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -2 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))
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#s(approx (/ 1 (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))))) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) c)) (*.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))))) c))) (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (*.f32 #s(literal 2 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))))) c)) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) c)) #s(literal 1 binary32)))))
#s(approx (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))))) c) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))) c)) #s(literal 1 binary32)))))
#s(approx (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))))))) c))) (*.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))))) c) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32))))) c)) #s(literal 1 binary32)))))
#s(approx (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (*.f32 c c) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) c)) #s(literal 2 binary32)) c)))))
#s(approx (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) (*.f32 #s(literal -1 binary32) (*.f32 c (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) c)) #s(literal 1 binary32)))))

eval506.0ms (4.3%)

Memory
18.6MiB live, 824.8MiB allocated; 64ms collecting garbage
Compiler

Compiled 863 547 to 15 952 computations (98.2% saved)

prune1.9s (16.6%)

Memory
21.5MiB live, 3 285.1MiB allocated; 89ms collecting garbage
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New2 13222 134
Fresh000
Picked325
Done257
Total2 13792 146
Accuracy
99.7%
Counts
2 146 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.1%
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
55.6%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) #s(approx (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (*.f32 cosTheta (PI.f32)))) cosTheta))) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
✓98.5%
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
✓98.1%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
✓54.6%
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c)))
55.7%
#s(approx (/ 1 (/ (- (* (+ 1 c) (+ 1 c)) (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))))) (- (+ 1 c) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))))) (-.f32 (fma.f32 c (-.f32 (fma.f32 c (-.f32 (fma.f32 c (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))))) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 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1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 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#s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 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binary32)))))
✓97.9%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
✓27.2%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
✓34.2%
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
Compiler

Compiled 6 174 to 1 111 computations (82% saved)

regimes36.0ms (0.3%)

Memory
12.0MiB live, 60.3MiB allocated; 2ms collecting garbage
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) 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(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) #s(approx (* (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta))) (* (/ (* 1 (/ (pow (- (- 1 cosTheta) cosTheta) 1/2) cosTheta)) (sqrt (PI))) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal -2 binary32) (/.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (PI.f32)) (/.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (*.f32 cosTheta (PI.f32)))) cosTheta))) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 c #s(literal 1 binary32)) (+.f32 c #s(literal 1 binary32))) (*.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))))) (-.f32 (+.f32 c #s(literal 1 binary32)) (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (+.f32 c #s(literal 1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Calls

6 calls:

6.0ms
cosTheta
6.0ms
c
6.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
5.0ms
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
5.0ms
(+.f32 (+.f32 #s(literal 1 binary32) 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
AccuracySegmentsBranch
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%1cosTheta
98.5%1c
Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes29.0ms (0.2%)

Memory
1.6MiB live, 48.9MiB allocated; 1ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
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binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (*.f32 #s(literal -1 binary32) c) (-.f32 (*.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) 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 (+ (* (+ (+ (+ (* (+ (* (/ 1 (sqrt (PI))) -3/2) (* (* 1/2 (/ 1 (sqrt (PI)))) cosTheta)) cosTheta) (* (/ 1 (sqrt (PI))) -1)) c) 1) cosTheta) (/ 1 (sqrt (PI)))) (*.f32 c (+.f32 cosTheta (fma.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) c))))) 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 (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) cosTheta (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32))) c) #s(literal 1 binary32)) cosTheta (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))))
Calls

6 calls:

5.0ms
c
4.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
4.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
4.0ms
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
4.0ms
cosTheta
Results
AccuracySegmentsBranch
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 (+.f32 #s(literal 1 binary32) 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) c)
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%1cosTheta
98.2%1c
Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes24.0ms (0.2%)

Memory
-5.8MiB live, 41.8MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 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(*.f32 cosTheta cosTheta) (PI.f32)))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) #s(literal -2 binary32)))) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (*.f32 #s(literal -1 binary32) c) (-.f32 (*.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
Outputs
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
Calls

6 calls:

4.0ms
c
4.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
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
cosTheta
Results
AccuracySegmentsBranch
98.1%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
98.1%1(+.f32 #s(literal 1 binary32) c)
98.1%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
98.1%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
98.1%1cosTheta
98.1%1c
Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes23.0ms (0.2%)

Memory
-6.0MiB live, 41.4MiB allocated; 1ms collecting garbage
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 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(*.f32 cosTheta cosTheta) (PI.f32)))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) #s(literal -2 binary32)))) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 cosTheta (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) #s(literal -2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) cosTheta) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (*.f32 (/.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)) #s(literal 1/2 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (*.f32 #s(literal -1 binary32) c) (-.f32 (*.f32 (/.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) c) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 #s(approx (+ (* (/ (pow (exp -1) (* cosTheta cosTheta)) (* cosTheta c)) (pow (/ (- (- 1 cosTheta) cosTheta) (PI)) 1/2)) (/ 1 c)) (/.f32 (fma.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 cosTheta (+.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) c))) (*.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) cosTheta)) #s(literal 1 binary32)) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 cosTheta c)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
Calls

6 calls:

4.0ms
cosTheta
3.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
3.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
3.0ms
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)))
Results
AccuracySegmentsBranch
97.9%1(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
97.9%1(+.f32 #s(literal 1 binary32) c)
97.9%1(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
97.9%1(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
97.9%1cosTheta
97.9%1c
Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes18.0ms (0.2%)

Memory
-30.3MiB live, 26.7MiB allocated; 7ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 c c) c) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c c) c)) (sqrt.f32 (PI.f32)) (+.f32 (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 c c)) (/.f32 (fma.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))))) c (*.f32 (*.f32 (*.f32 c c) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) (*.f32 (*.f32 (*.f32 c c) c) c))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) #s(approx (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI)))) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
Calls

6 calls:

5.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
2.0ms
c
2.0ms
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
2.0ms
cosTheta
Results
AccuracySegmentsBranch
52.0%2(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
34.2%1(+.f32 #s(literal 1 binary32) c)
52.0%2(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
52.0%2(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
52.0%2cosTheta
52.1%3c
Compiler

Compiled 72 to 58 computations (19.4% saved)

regimes10.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 c c) c) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c c) c)) (sqrt.f32 (PI.f32)) (+.f32 (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 c c)) (/.f32 (fma.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))))) c (*.f32 (*.f32 (*.f32 c c) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) (*.f32 (*.f32 (*.f32 c c) c) c))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) #s(approx (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI)))) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) #s(approx (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt (PI)))) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
Calls

4 calls:

2.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
2.0ms
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
2.0ms
cosTheta
Results
AccuracySegmentsBranch
51.9%2(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
51.9%2cosTheta
51.9%2(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
51.9%2(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
Compiler

Compiled 68 to 52 computations (23.5% saved)

regimes9.0ms (0.1%)

Memory
16.4MiB live, 16.5MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 c c) c) (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 c c) c)) (sqrt.f32 (PI.f32)) (+.f32 (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 c c)) (/.f32 (fma.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))))))))) c (*.f32 (*.f32 (*.f32 c c) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))))))) (*.f32 (*.f32 (*.f32 c c) c) c))))))) cosTheta))
Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) cosTheta))) cosTheta) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))))))) cosTheta))
Calls

4 calls:

2.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
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
Results
AccuracySegmentsBranch
51.9%2(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
51.9%2(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
51.9%2(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
51.9%2cosTheta
Compiler

Compiled 68 to 52 computations (23.5% saved)

regimes9.0ms (0.1%)

Memory
-30.3MiB live, 17.2MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

2.0ms
cosTheta
1.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
1.0ms
(+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
1.0ms
(*.f32 (*.f32 (/.f32 #s(literal 1 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
Results
AccuracySegmentsBranch
34.2%1(+.f32 #s(literal 1 binary32) c)
34.2%1c
34.2%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)))
34.2%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))))
34.2%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)))))
34.2%1cosTheta
Compiler

Compiled 72 to 58 computations (19.4% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1801410314240.0
3958117761024.0
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1801410314240.0
3958117761024.0
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
1.4253985632876193e-13
3.1319326472545317e-13
Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify65.0ms (0.6%)

Memory
27.9MiB live, 75.5MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03183851
17833387
234683308
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (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)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
(if (<=.f32 (+.f32 (+.f32 #s(literal 1 binary32) 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 1999999991808 binary32)) #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta)) #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta)))
(if (<=.f32 (+.f32 (+.f32 #s(literal 1 binary32) 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 1999999991808 binary32)) #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) #s(approx (+ (* -1 (/ (* (PI) (+ 1 (+ c (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta cosTheta))) (* (/ 1 (* (* cosTheta cosTheta) cosTheta)) (sqrt 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#s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32)))))))) cosTheta))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (/.f32 (/.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32)) cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (neg.f32 (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (+.f32 c #s(literal 1 binary32)) (/.f32 (*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (PI.f32))))))) #s(literal 1/2 binary32))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (neg.f32 (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (pow.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32)) (PI.f32)))) cosTheta (*.f32 (*.f32 #s(literal -1 binary32) (PI.f32)) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal -1 binary32) c) #s(literal 1 binary32)))) cosTheta (sqrt.f32 (PI.f32))) cosTheta))
(if (<=.f32 (+.f32 (+.f32 #s(literal 1 binary32) 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 1999999991808 binary32)) #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (-.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 cosTheta cosTheta)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) cosTheta)) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (*.f32 (/.f32 #s(literal -1 binary32) (neg.f32 cosTheta)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) cosTheta) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))))) cosTheta)) #s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(approx (+ (* (+ (* (- (* (* -1 cosTheta) (+ (* (* -1 (sqrt (PI))) (* (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI))) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (* (* (/ 1 (sqrt (PI))) -3/2) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) (* (* 1/2 (/ 1 (sqrt (PI)))) (PI))))) (+ (* (* -1 (pow (pow (PI) 3) 1/2)) (pow (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1) 2)) (* (* (/ 1 (sqrt (PI))) -3/2) (PI)))) cosTheta) (* (neg (PI)) (+ (+ (* (/ 1 (sqrt (PI))) -1) c) 1))) cosTheta) (sqrt (PI))) #s(approx (* (* (* c c) c) (+ (* -1 (* (* (* cosTheta cosTheta) cosTheta) (* (PI) (PI)))) (+ (* (/ 1 (* (* c c) c)) (sqrt (PI))) (+ (/ (* cosTheta (+ (* -1 (PI)) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (+ (* -3/2 (sqrt (PI))) (+ (* -1 (* (pow (pow (PI) 3) 1/2) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ 2 (* -2 (/ 1 (sqrt (PI)))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (* 3/2 (PI))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))))) (* c c)) (/ (+ (* (* cosTheta (+ (* -1 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* cosTheta (- (* -1 (* cosTheta (+ (* -1 (* (sqrt (PI)) (* (+ 1 (* -1 (/ 1 (sqrt (PI))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2))))))) (+ (* 1/2 (sqrt (PI))) (* 3/2 (* (PI) (+ 1 (* -1 (/ 1 (sqrt (PI))))))))))) (+ (* -3/2 (sqrt (PI))) (* -1 (* (pow (pow (PI) 3) 1/2) (pow (+ 1 (* -1 (/ 1 (sqrt (PI))))) 2)))))))) c) (* (* (* c c) c) (* (* cosTheta cosTheta) (- (* (* cosTheta (+ (* -1 (* (pow (pow (PI) 3) 1/2) (+ 1 (* -1 (/ 1 (sqrt (PI))))))) (* -1 (* (pow (pow (PI) 3) 1/2) (+ 2 (* -2 (/ 1 (sqrt (PI))))))))) (sqrt (PI))) (* -1 (pow (pow (PI) 3) 1/2)))))) (* (* (* c c) c) c)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 c #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (PI.f32) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (*.f32 #s(literal 3/2 binary32) (PI.f32))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 cosTheta (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))))) c)))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (+.f32 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(*.f32 #s(literal 3/2 binary32) (PI.f32)))) (*.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (/.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 cosTheta (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) (fma.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal 3/2 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))) c))) c) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 #s(literal -1 binary32) (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (sqrt.f32 (PI.f32))) (*.f32 #s(literal -1 binary32) (pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/2 binary32)))))) c) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (PI.f32) (PI.f32))))))) cosTheta))

derivations233.0ms (2%)

Memory
-1.2MiB live, 237.9MiB allocated; 5ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 4 078 to 316 computations (92.3% saved)

preprocess124.0ms (1.1%)

Memory
-23.4MiB live, 215.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 8 206 to 668 computations (91.9% saved)

end0.0ms (0%)

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

Profiling

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