GTR1 distribution

Time bar (total: 4.2s)

start0.0ms (0%)

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

analyze42.0ms (1%)

Memory
0.3MiB live, 46.3MiB allocated; 11ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.6%99.4%0%0%0%0
0%0%0.6%99.4%0%0%0%1
0%0%0.6%99.4%0%0%0%2
0%0%0.6%99.4%0%0%0%3
0%0%0.6%99.4%0%0%0%4
50%0.3%0.3%99.4%0%0%0%5
50%0.3%0.3%99.4%0%0%0%6
75%0.5%0.2%99.4%0%0%0%7
75%0.5%0.2%99.4%0%0%0%8
87.5%0.6%0.1%99.4%0%0%0%9
87.5%0.6%0.1%99.4%0%0%0%10
93.7%0.6%0%99.4%0%0%0%11
93.7%0.6%0%99.4%0%0%0%12
Compiler

Compiled 40 to 23 computations (42.5% saved)

sample823.0ms (19.7%)

Memory
25.2MiB live, 951.6MiB allocated; 194ms collecting garbage
Samples
598.0ms8 254×0valid
1.0ms2×1valid
Precisions
Click to see histograms. Total time spent on operations: 428.0ms
ival-mult!: 250.0ms (58.4% of total)
ival-log: 93.0ms (21.7% of total)
ival-div!: 39.0ms (9.1% of total)
ival-sub!: 22.0ms (5.1% of total)
ival-add!: 21.0ms (4.9% of total)
adjust: 2.0ms (0.5% of total)
ival-and: 1.0ms (0.2% of total)
ival-<=: 1.0ms (0.2% of total)
ival-pi: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
Bogosity

preprocess57.0ms (1.4%)

Memory
-9.4MiB live, 37.3MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040146
1198146
2777146
35929146
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Symmetry

(abs cosTheta)

(abs alpha)

Compiler

Compiled 48 to 26 computations (45.8% saved)

series83.0ms (2%)

Memory
3.1MiB live, 110.0MiB allocated; 24ms collecting garbage
Counts
13 → 58
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* 2 (log alpha))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ 1 alpha)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
Calls

6 calls:

TimeVariablePoint
26.0ms
alpha
0
21.0ms
alpha
-inf
16.0ms
alpha
inf
11.0ms
cosTheta
0
4.0ms
cosTheta
inf

rewrite156.0ms (3.7%)

Memory
14.5MiB live, 201.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03022839
03202641
117162620
081182551
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
71 → 150
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* 2 (log alpha))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ 1 alpha)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
Outputs
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32)))) (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (exp.f32 (log.f32 alpha)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(fabs.f32 (*.f32 alpha alpha))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(fma.f32 #s(literal 1 binary32) (log.f32 alpha) (log.f32 alpha))
(+.f32 (log.f32 (fabs.f32 alpha)) (log.f32 (fabs.f32 alpha)))
(+.f32 (log.f32 (neg.f32 alpha)) (log.f32 (neg.f32 alpha)))
(+.f32 (log.f32 alpha) (log.f32 alpha))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) cosTheta))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))))
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))))
(+.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 cosTheta (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(*.f32 cosTheta (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 cosTheta cosTheta)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 cosTheta cosTheta)) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))
#s(approx cosTheta cosTheta)
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 (pow.f32 cosTheta #s(literal -6 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (fma.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (*.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (*.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha cosTheta) (*.f32 alpha cosTheta)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (*.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (*.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))) (*.f32 alpha alpha)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (*.f32 (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (*.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (*.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha)) (*.f32 alpha alpha)))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 cosTheta (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (+.f32 (neg.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))))))))
#s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal -2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (*.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
#s(approx (log (* alpha alpha)) (*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (*.f32 alpha cosTheta) (*.f32 alpha cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (fma.f32 cosTheta cosTheta (neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (*.f32 alpha alpha)) cosTheta) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))) (*.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (*.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) #s(literal -2 binary32)))
#s(approx (log (* alpha alpha)) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) #s(literal -2 binary32)))

eval16.0ms (0.4%)

Memory
-17.0MiB live, 29.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 981 to 820 computations (86.3% saved)

prune15.0ms (0.3%)

Memory
30.0MiB live, 30.0MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New11921140
Fresh000
Picked101
Done000
Total12021141
Accuracy
99.9%
Counts
141 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
98.1%
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))) cosTheta) cosTheta))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
▶97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
48.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
94.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶98.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
94.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
98.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (*.f32 alpha alpha))))) (*.f32 alpha alpha))))
98.1%
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
98.4%
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) cosTheta) cosTheta))))
▶98.3%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta))))
98.3%
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶98.1%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
98.1%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
65.8%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
Compiler

Compiled 1 486 to 790 computations (46.8% saved)

series206.0ms (4.9%)

Memory
1.1MiB live, 331.8MiB allocated; 55ms collecting garbage
Counts
47 → 132
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))))
#s(literal -1/2 binary32)
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))
(*.f32 (*.f32 cosTheta cosTheta) (PI.f32))
(*.f32 cosTheta cosTheta)
(neg.f32 (log.f32 alpha))
(log.f32 alpha)
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))
(*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta)
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(+.f32 alpha #s(literal 1 binary32))
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(-.f32 alpha #s(literal 1 binary32))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
#s(literal 2 binary32)
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta))))
#s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta))
(*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta)
(*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta)
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha 2) (PI)))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha 2) (PI))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) #s(hole binary32 (* -1 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (* (* cosTheta cosTheta) (PI)) #s(hole binary32 (* (pow cosTheta 2) (PI))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log alpha)))) (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha)))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (+ (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))) (* (PI) (log alpha)))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (+ (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3)))) (* (PI) (log alpha)))) (* 1/2 (/ (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log alpha)))))))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ 1 alpha)))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ 1 (+ alpha (* -1 (* (pow cosTheta 2) (* (+ 1 alpha) (- (pow alpha 2) 1))))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ 1 (+ alpha (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (+ 1 alpha) (pow (- (pow alpha 2) 1) 2))) (* (+ 1 alpha) (- (pow alpha 2) 1))))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ 1 (+ alpha (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (* (+ 1 alpha) (pow (- (pow alpha 2) 1) 3)))) (* -1 (* (+ 1 alpha) (pow (- (pow alpha 2) 1) 2))))) (* (+ 1 alpha) (- (pow alpha 2) 1))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 6) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 2))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (/ (log (pow (pow alpha 2) (PI))) (pow cosTheta 2))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (/ (+ (* -1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2)))))) (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (/ (+ (* -1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2)))))) (+ (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (/ (+ (* -1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2)))))) (+ (* -1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 4)))))) (+ (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ (* (+ 1 alpha) (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3))))))))) (pow cosTheta 2))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (+ 1 alpha) (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (+ (* -1 (/ (+ (/ 1 (pow (- (pow alpha 2) 1) 2)) (/ alpha (pow (- (pow alpha 2) 1) 2))) (pow cosTheta 2))) (+ (/ 1 (- (pow alpha 2) 1)) (/ alpha (- (pow alpha 2) 1)))) (pow cosTheta 2))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3))) (+ (/ 1 (- (pow alpha 2) 1)) (+ (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3))) (/ alpha (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))) (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (* -1 (/ (+ (/ 1 (pow (- (pow alpha 2) 1) 4)) (/ alpha (pow (- (pow alpha 2) 1) 4))) (pow cosTheta 6))) (+ (/ 1 (- (pow alpha 2) 1)) (/ alpha (- (pow alpha 2) 1)))) (+ (* -1 (/ (+ (/ 1 (pow (- (pow alpha 2) 1) 2)) (/ alpha (pow (- (pow alpha 2) 1) 2))) (* (pow cosTheta 4) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))) (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* 2 (* (PI) (log alpha))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))))
#s(approx (neg (log alpha)) #s(hole binary32 (* -1 (log alpha))))
#s(approx (log alpha) #s(hole binary32 (log alpha)))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* 2 (log alpha))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
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#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ 1 (+ 1 (* -1 (pow cosTheta 2))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (/ 1 (+ 1 (* -1 (pow cosTheta 2)))) (/ alpha (+ 1 (* -1 (pow cosTheta 2)))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* alpha (+ (* -1 (/ (* alpha (pow cosTheta 2)) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))) (/ 1 (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (+ 1 (* -1 (pow cosTheta 2)))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* alpha (+ (* alpha (- (* -1 (/ (* alpha (pow cosTheta 2)) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))) (/ (pow cosTheta 2) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (+ 1 (* -1 (pow cosTheta 2)))))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (/ -1/2 (* (PI) (log alpha)))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (- (* 1/2 (/ alpha (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))))
#s(approx (- alpha 1) #s(hole binary32 (- alpha 1)))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (log alpha))))
#s(approx (- 1 (/ 1 (* alpha alpha))) #s(hole binary32 (/ -1 (pow alpha 2))))
#s(approx (- 1 (/ 1 (* alpha alpha))) #s(hole binary32 (/ (- (pow alpha 2) 1) (pow alpha 2))))
#s(approx (/ 1 (* alpha alpha)) #s(hole binary32 (/ 1 (pow alpha 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ 1 alpha)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
#s(approx (neg (log alpha)) #s(hole binary32 (log (/ 1 alpha))))
#s(approx (log alpha) #s(hole binary32 (* -1 (log (/ 1 alpha)))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ 1 alpha)))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ 1 (* alpha (pow cosTheta 2)))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (+ (/ 1 (* alpha (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) alpha)))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) (/ 1 (* (pow alpha 2) (pow cosTheta 4)))) alpha)))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 3) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ 1 (* (pow alpha 3) (pow cosTheta 4))))) alpha)))
#s(approx (+ alpha 1) #s(hole binary32 (* alpha (+ 1 (/ 1 alpha)))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1/2 (/ alpha (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* alpha (- (* 1/2 (/ 1 (* alpha (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (- alpha 1) #s(hole binary32 (* alpha (- 1 (/ 1 alpha)))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* -1 (* (PI) (log (/ 1 alpha))))))
#s(approx (- 1 (/ 1 (* alpha alpha))) #s(hole binary32 (- 1 (/ 1 (pow alpha 2)))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
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#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (pow cosTheta 4)))) (/ 1 (pow cosTheta 2))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (pow cosTheta 2)) (/ 1 (pow cosTheta 4))) alpha)) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (pow cosTheta 4)))) alpha)) (/ 1 (pow cosTheta 2))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1 (* alpha (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* alpha (* (PI) (log (/ 1 alpha)))))))))))
#s(approx (- alpha 1) #s(hole binary32 (* -1 (* alpha (- (/ 1 alpha) 1)))))
Calls

6 calls:

TimeVariablePoint
54.0ms
alpha
0
42.0ms
alpha
inf
33.0ms
alpha
-inf
30.0ms
cosTheta
0
21.0ms
cosTheta
inf

rewrite213.0ms (5.1%)

Memory
-4.4MiB live, 192.3MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07497056
08206351
146556324
082196254
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
179 → 426
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))))
#s(literal -1/2 binary32)
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))
(*.f32 (*.f32 cosTheta cosTheta) (PI.f32))
(*.f32 cosTheta cosTheta)
(neg.f32 (log.f32 alpha))
(log.f32 alpha)
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta)))
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))
(*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta)
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
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(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(-.f32 alpha #s(literal 1 binary32))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
#s(literal 2 binary32)
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#s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta))
(*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta)
(*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta)
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ 1 alpha)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
#s(approx (neg (log alpha)) #s(hole binary32 (log (/ 1 alpha))))
#s(approx (log alpha) #s(hole binary32 (* -1 (log (/ 1 alpha)))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ 1 alpha)))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ 1 (* alpha (pow cosTheta 2)))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (+ (/ 1 (* alpha (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) alpha)))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) (/ 1 (* (pow alpha 2) (pow cosTheta 4)))) alpha)))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 3) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ 1 (* (pow alpha 3) (pow cosTheta 4))))) alpha)))
#s(approx (+ alpha 1) #s(hole binary32 (* alpha (+ 1 (/ 1 alpha)))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1/2 (/ alpha (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* alpha (- (* 1/2 (/ 1 (* alpha (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (- alpha 1) #s(hole binary32 (* alpha (- 1 (/ 1 alpha)))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* -1 (* (PI) (log (/ 1 alpha))))))
#s(approx (- 1 (/ 1 (* alpha alpha))) #s(hole binary32 (- 1 (/ 1 (pow alpha 2)))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) #s(hole binary32 (- (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (pow cosTheta 4)))) (/ 1 (pow cosTheta 2))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (pow cosTheta 2)) (/ 1 (pow cosTheta 4))) alpha)) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (pow cosTheta 4)))) alpha)) (/ 1 (pow cosTheta 2))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1 (* alpha (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* alpha (* (PI) (log (/ 1 alpha)))))))))))
#s(approx (- alpha 1) #s(hole binary32 (* -1 (* alpha (- (/ 1 alpha) 1)))))
Outputs
(*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(fabs.f32 (*.f32 alpha alpha))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32))))
(log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (neg.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (pow.f32 alpha (PI.f32))) (neg.f32 (pow.f32 alpha (PI.f32))))
(*.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(pow.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (PI.f32))) (log.f32 alpha))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 alpha alpha) (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))
(pow.f32 alpha (*.f32 (PI.f32) #s(literal 2 binary32)))
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(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (*.f32 (log.f32 alpha) (PI.f32))))
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#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha)))) (*.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+.f32 (neg.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha)))) (*.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha)))) (*.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (*.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (log (pow (* alpha alpha) (PI))) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) #s(literal -2 binary32)))
#s(approx (pow (* alpha alpha) (PI)) (exp.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) #s(literal -2 binary32))))
#s(approx (log (* alpha alpha)) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) #s(literal -2 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) cosTheta))) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) cosTheta) (*.f32 (*.f32 cosTheta cosTheta) cosTheta))) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) #s(literal -1/2 binary32) (-.f32 (fma.f32 (/.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (*.f32 (exp.f32 (fma.f32 (log.f32 alpha) #s(literal 6 binary32) (*.f32 (log.f32 cosTheta) #s(literal 8 binary32)))) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) alpha))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) alpha)))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))) alpha)) (neg.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) alpha)))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha (PI.f32)) (neg.f32 (log.f32 alpha))))) alpha)))
#s(approx (- alpha 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)))

eval57.0ms (1.4%)

Memory
-2.7MiB live, 88.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 18 728 to 2 230 computations (88.1% saved)

prune38.0ms (0.9%)

Memory
-25.3MiB live, 74.3MiB allocated; 9ms collecting garbage
Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New40828436
Fresh61016
Picked505
Done000
Total41938457
Accuracy
100.0%
Counts
457 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
▶98.5%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
97.3%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
98.2%
(/.f32 (/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) cosTheta) cosTheta))))
96.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
48.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
98.4%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
94.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶98.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
94.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
94.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
98.2%
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
96.9%
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
98.1%
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
98.4%
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) cosTheta) cosTheta))))
98.3%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta #s(literal 1 binary32)))))
95.4%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))) (*.f32 alpha alpha))) cosTheta) cosTheta))))
98.0%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)) cosTheta) cosTheta))))
97.1%
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
▶98.1%
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.7%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.9%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (-.f32 (*.f32 (/.f32 alpha (*.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
98.1%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
96.9%
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
94.3%
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
▶1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
65.8%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
Compiler

Compiled 2 496 to 1 470 computations (41.1% saved)

series153.0ms (3.7%)

Memory
4.0MiB live, 288.1MiB allocated; 25ms collecting garbage
Counts
40 → 132
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha)))
#s(literal 1/2 binary32)
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))
(*.f32 (*.f32 cosTheta cosTheta) (PI.f32))
(*.f32 cosTheta cosTheta)
(log.f32 alpha)
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (* 2 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 4)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 4))))) (* 2 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 4))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 2 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 4))))) (* (pow cosTheta 2) (- (* 2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 4))))) (* 2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 4))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* 2 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 4))))) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 4))))) (* -2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 4))))))) (* 2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 4))))))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 1/2 (* (PI) (log (pow alpha 4))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 1/2 (* (PI) (log (pow alpha 4)))) (* 1/2 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 4)) (- (pow alpha 2) 1))))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 1))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* cosTheta (- (pow alpha 2) 1))))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (log alpha)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (log alpha)))))
#s(approx (* (* cosTheta cosTheta) (PI)) #s(hole binary32 (* (pow cosTheta 2) (PI))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))))
#s(approx (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* 2 (log alpha))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (+ (* 2 (log alpha)) (* 2 (* (pow cosTheta 2) (* (log alpha) (- (pow alpha 2) 1)))))))
#s(approx (neg cosTheta) #s(hole binary32 (* -1 cosTheta)))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (pow alpha 2) 1) (- alpha 1))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (- alpha 1))) (/ (pow alpha 2) (- alpha 1))) (/ 1 (- alpha 1)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (- alpha 1)) (/ (pow (- (pow alpha 2) 1) 2) (- alpha 1)))) (/ (pow alpha 2) (- alpha 1))) (/ 1 (- alpha 1)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (- alpha 1))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (- alpha 1))))) (/ (pow (- (pow alpha 2) 1) 2) (- alpha 1)))) (/ (pow alpha 2) (- alpha 1))) (/ 1 (- alpha 1)))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 2 (* (pow cosTheta 2) (* (PI) (log (pow alpha 4)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (* 2 (/ 1 (* (PI) (log (pow alpha 4))))) (* 2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 4)) (- (pow alpha 2) 1))))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (* 2 (/ 1 (* (PI) (log (pow alpha 4))))) (/ 2 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 4)) (pow (- (pow alpha 2) 1) 2)))))) (/ 2 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 4)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (* 2 (/ 1 (* (PI) (log (pow alpha 4))))) (* 2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 4)) (pow (- (pow alpha 2) 1) 2))))))) (+ (* 2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 4)) (pow (- (pow alpha 2) 1) 3)))))) (/ 2 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 4)) (- (pow alpha 2) 1))))))) (pow cosTheta 2))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 1/2 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 4)) (- (pow alpha 2) 1)))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* 1/2 (* (PI) (* (log (pow alpha 4)) (- (pow alpha 2) 1)))) (* 1/2 (/ (* (PI) (log (pow alpha 4))) (pow cosTheta 2)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))))
#s(approx (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))))
#s(approx (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* 2 (* (pow cosTheta 2) (* (log alpha) (- (pow alpha 2) 1))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (* (log alpha) (- (pow alpha 2) 1))) (* 2 (/ (log alpha) (pow cosTheta 2)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (- alpha 1)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (/ 1 (- alpha 1)) (/ 1 (* (pow cosTheta 2) (* (- alpha 1) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* (pow cosTheta 4) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (- alpha 1))) (/ 1 (* (pow cosTheta 2) (* (- alpha 1) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* (pow cosTheta 4) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (- alpha 1))) (+ (/ 1 (* (pow cosTheta 2) (* (- alpha 1) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 6) (* (- alpha 1) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2)) #s(hole binary32 (exp (* 2 (* (PI) (log alpha))))))
#s(approx (* (* alpha alpha) (* alpha alpha)) #s(hole binary32 (pow alpha 4)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* -1 (pow cosTheta 2))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))))
#s(approx (log alpha) #s(hole binary32 (log alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* 2 (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (+ (* 2 (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (/ -1/2 (* (PI) (log alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (log alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ 1 (+ 1 (* -1 (pow cosTheta 2))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (/ 1 (+ 1 (* -1 (pow cosTheta 2)))) (/ alpha (+ 1 (* -1 (pow cosTheta 2)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* alpha (+ (* -1 (/ (* alpha (pow cosTheta 2)) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))) (/ 1 (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (+ 1 (* -1 (pow cosTheta 2)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* alpha (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (pow cosTheta 2) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))) (* 2 (/ (pow cosTheta 2) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (/ (pow cosTheta 2) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (+ 1 (* -1 (pow cosTheta 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (- alpha 1)) #s(hole binary32 (+ 1 alpha)))
#s(approx (- alpha 1) #s(hole binary32 (- alpha 1)))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (- (* 1/2 (/ alpha (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ 1 alpha)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (log alpha)) #s(hole binary32 (* -1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (* -1 (log (/ 1 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (log (/ 1 alpha)))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (log (/ 1 alpha)))) (* -2 (/ (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2)))))))
#s(approx (* (log alpha) 2) #s(hole binary32 (* -2 (log (/ 1 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* -1 (* (PI) (log (/ 1 alpha))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ 1 (* alpha (pow cosTheta 2)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (+ (/ 1 (* alpha (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) alpha)))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) (/ 1 (* (pow alpha 2) (pow cosTheta 4)))) alpha)))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 3) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 3) (pow cosTheta 4)))) (+ (* -1 (/ (- (/ 1 (pow cosTheta 2)) (/ 1 (pow cosTheta 4))) (pow alpha 3))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ 1 (* (pow alpha 3) (pow cosTheta 4))))))) alpha)))
#s(approx (/ (- (* alpha alpha) 1) (- alpha 1)) #s(hole binary32 (* alpha (+ 1 (/ 1 alpha)))))
#s(approx (- alpha 1) #s(hole binary32 (* alpha (- 1 (/ 1 alpha)))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1/2 (/ alpha (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* alpha (- (* 1/2 (/ 1 (* alpha (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) (/ 1 (* alpha (pow cosTheta 4)))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (/ 1 (pow cosTheta 2)) (/ 1 (pow cosTheta 4)))) (+ (/ -1 (* alpha (pow cosTheta 2))) (/ 1 (* alpha (pow cosTheta 4))))) alpha)) (/ 1 (pow cosTheta 2))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (- alpha 1) #s(hole binary32 (* -1 (* alpha (- (/ 1 alpha) 1)))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1 (* alpha (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* alpha (* (PI) (log (/ 1 alpha)))))))))))
Calls

6 calls:

TimeVariablePoint
32.0ms
alpha
inf
30.0ms
alpha
-inf
28.0ms
alpha
0
23.0ms
cosTheta
0
17.0ms
cosTheta
inf

rewrite194.0ms (4.6%)

Memory
35.4MiB live, 219.5MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07527140
08256408
144786388
084016320
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
172 → 361
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha)))
#s(literal 1/2 binary32)
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))
(*.f32 (*.f32 cosTheta cosTheta) (PI.f32))
(*.f32 cosTheta cosTheta)
(log.f32 alpha)
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
(neg.f32 cosTheta)
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(*.f32 (log.f32 alpha) (PI.f32))
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
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(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ 1 alpha)))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) #s(hole binary32 (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (log alpha)) #s(hole binary32 (* -1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (* -1 (log (/ 1 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)))) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (log (/ 1 alpha)))))))
#s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (log (/ 1 alpha)))) (* -2 (/ (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2)))))))
#s(approx (* (log alpha) 2) #s(hole binary32 (* -2 (log (/ 1 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* -1 (* (PI) (log (/ 1 alpha))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ 1 (* alpha (pow cosTheta 2)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (+ (/ 1 (* alpha (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) alpha)))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) (/ 1 (* (pow alpha 2) (pow cosTheta 4)))) alpha)))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (+ (/ 1 (* (pow alpha 3) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 3) (pow cosTheta 4)))) (+ (* -1 (/ (- (/ 1 (pow cosTheta 2)) (/ 1 (pow cosTheta 4))) (pow alpha 3))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ 1 (* (pow alpha 3) (pow cosTheta 4))))))) alpha)))
#s(approx (/ (- (* alpha alpha) 1) (- alpha 1)) #s(hole binary32 (* alpha (+ 1 (/ 1 alpha)))))
#s(approx (- alpha 1) #s(hole binary32 (* alpha (- 1 (/ 1 alpha)))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1/2 (/ alpha (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* alpha (- (* 1/2 (/ 1 (* alpha (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* alpha (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) (/ 1 (* alpha (pow cosTheta 4)))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (/ 1 (pow cosTheta 2)) (/ 1 (pow cosTheta 4)))) (+ (/ -1 (* alpha (pow cosTheta 2))) (/ 1 (* alpha (pow cosTheta 4))))) alpha)) (/ 1 (pow cosTheta 2))) alpha)) (/ 1 (pow cosTheta 2))) alpha))))
#s(approx (- alpha 1) #s(hole binary32 (* -1 (* alpha (- (/ 1 alpha) 1)))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1 (* alpha (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* alpha (* (PI) (log (/ 1 alpha)))))))))))
Outputs
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(fabs.f32 (neg.f32 (*.f32 alpha alpha)))
(fabs.f32 (*.f32 alpha alpha))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(log.f32 (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (log.f32 alpha) #s(literal 4 binary32)))
(+.f32 (log.f32 (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32))))) (log.f32 (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32))))))
(+.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (log.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32))))) (neg.f32 (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32))))))
(*.f32 (neg.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (neg.f32 (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (neg.f32 (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 alpha alpha) alpha) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32)))) (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 (*.f32 (*.f32 (log.f32 alpha) #s(literal 4 binary32)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) (+.f32 (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 2 binary32))))
(pow.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))
(pow.f32 (*.f32 alpha alpha) (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
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(PI.f32)
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#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
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#s(approx (log alpha) (log.f32 alpha))
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#s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) alpha))) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) alpha)))
#s(approx (- alpha 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha (PI.f32)) (neg.f32 (log.f32 alpha))))) alpha)))

eval107.0ms (2.6%)

Memory
-11.5MiB live, 100.0MiB allocated; 141ms collecting garbage
Compiler

Compiled 19 435 to 2 098 computations (89.2% saved)

prune45.0ms (1.1%)

Memory
-2.0MiB live, 95.7MiB allocated; 13ms collecting garbage
Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New44624470
Fresh161733
Picked325
Done000
Total46543508
Accuracy
100.0%
Counts
508 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
97.0%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
✓98.5%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
97.3%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
98.7%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
97.2%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
65.8%
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
96.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
98.3%
(/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
48.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
94.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶94.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶98.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
▶94.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
94.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
98.1%
(/.f32 (*.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
98.2%
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
96.9%
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
97.3%
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
▶65.8%
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
97.9%
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
98.3%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta #s(literal 1 binary32)))))
97.1%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
65.8%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
97.8%
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (-.f32 (*.f32 (/.f32 alpha (*.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
98.1%
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) (-.f32 alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.7%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.9%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (-.f32 (*.f32 (/.f32 alpha (*.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
98.1%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
94.3%
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
96.9%
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
94.3%
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
✓1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
▶1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
65.8%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
Compiler

Compiled 2 644 to 1 655 computations (37.4% saved)

series249.0ms (6%)

Memory
-19.1MiB live, 363.1MiB allocated; 27ms collecting garbage
Counts
35 → 99
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha)))
#s(literal 1/2 binary32)
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))
(*.f32 cosTheta (*.f32 cosTheta (PI.f32)))
(*.f32 cosTheta (PI.f32))
(log.f32 alpha)
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
#s(literal -1/2 binary32)
(*.f32 (log.f32 alpha) (PI.f32))
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha 2) (PI)))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha 2) (PI))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 1))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ -1/2 (* (log alpha) (PI))) #s(hole binary32 (/ 1/2 (* (PI) (log (/ 1 alpha))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* -1 (* (PI) (log (/ 1 alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
Calls

6 calls:

TimeVariablePoint
99.0ms
alpha
-inf
45.0ms
alpha
inf
41.0ms
alpha
0
21.0ms
cosTheta
inf
20.0ms
cosTheta
-inf

rewrite185.0ms (4.4%)

Memory
39.2MiB live, 269.4MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05895840
06475335
135925318
097165265
Stop Event
1×iter-limit
1×node-limit
1×iter-limit
Counts
134 → 372
Calls
Call 1
Inputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha)))
#s(literal 1/2 binary32)
(*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))
(*.f32 cosTheta (*.f32 cosTheta (PI.f32)))
(*.f32 cosTheta (PI.f32))
(log.f32 alpha)
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
#s(literal -1/2 binary32)
(*.f32 (log.f32 alpha) (PI.f32))
(fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
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#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 1))
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#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (* (* cosTheta (* cosTheta (PI))) (log alpha)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (log alpha)))))
#s(approx (* cosTheta (* cosTheta (PI))) #s(hole binary32 (* (pow cosTheta 2) (PI))))
#s(approx (* cosTheta (PI)) #s(hole binary32 (* cosTheta (PI))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
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#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))))
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#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* 1/2 (* (PI) (log (pow alpha 4))))))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ (- (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))))
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#s(approx (* (log (pow (* (* alpha alpha) (* alpha alpha)) (/ (PI) 2))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* 1/2 (* (PI) (* (log (pow alpha 4)) (- (pow alpha 2) 1)))) (* 1/2 (/ (* (PI) (log (pow alpha 4))) (pow cosTheta 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 -1))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* 2 (* (PI) (log alpha))))))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (+ 1 (* -1 (pow cosTheta 2)))))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))))
#s(approx (log alpha) #s(hole binary32 (log alpha)))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (/ -1/2 (* (PI) (log alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (log alpha))))
#s(approx (* (* alpha alpha) (* alpha alpha)) #s(hole binary32 (pow alpha 4)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ 1 alpha)))))))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (* (* cosTheta (* cosTheta (PI))) (log alpha)) #s(hole binary32 (* -1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (* -1 (log (/ 1 alpha)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* -1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) #s(hole binary32 (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))))
#s(approx (/ -1/2 (* (log alpha) (PI))) #s(hole binary32 (/ 1/2 (* (PI) (log (/ 1 alpha))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* -1 (* (PI) (log (/ 1 alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (log (pow (* alpha alpha) (PI))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))
Outputs
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32)))) (neg.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)))
(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(exp.f32 (*.f32 (log.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 alpha alpha)
(sqrt.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(fabs.f32 (neg.f32 (*.f32 alpha alpha)))
(fabs.f32 (*.f32 alpha alpha))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(fma.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
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#s(approx (* (log alpha) (PI)) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 (neg.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) (*.f32 cosTheta cosTheta))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (-.f32 (fma.f32 (*.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))) (*.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) (*.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (*.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (log (pow (* alpha alpha) (PI))) (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) #s(literal -2 binary32)))
#s(approx (pow (* alpha alpha) (PI)) (exp.f32 (*.f32 (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) #s(literal -2 binary32))))

eval46.0ms (1.1%)

Memory
-18.1MiB live, 87.2MiB allocated; 13ms collecting garbage
Compiler

Compiled 16 812 to 1 690 computations (89.9% saved)

prune46.0ms (1.1%)

Memory
2.3MiB live, 97.1MiB allocated; 5ms collecting garbage
Pruning

46 alts after pruning (40 fresh and 6 done)

PrunedKeptTotal
New41810428
Fresh63036
Picked145
Done022
Total42546471
Accuracy
100.0%
Counts
471 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
✓98.5%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
97.3%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
98.7%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
97.2%
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
96.8%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
48.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
94.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓94.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
✓94.9%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.7%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
94.8%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
98.5%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
97.3%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
94.6%
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
98.1%
(/.f32 (*.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
98.2%
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
96.9%
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
97.3%
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
65.8%
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
65.8%
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
✓65.8%
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
65.8%
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
97.9%
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
98.3%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta #s(literal 1 binary32)))))
97.1%
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
65.8%
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
94.4%
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32)))))
97.8%
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (-.f32 (*.f32 (/.f32 alpha (*.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
98.1%
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) (-.f32 alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
97.7%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
98.1%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
98.2%
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
94.3%
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
96.9%
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
94.3%
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
1.9%
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
65.8%
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
✓1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
✓1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
1.9%
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
Compiler

Compiled 4 279 to 1 288 computations (69.9% saved)

regimes130.0ms (3.1%)

Memory
-7.0MiB live, 125.9MiB allocated; 31ms collecting garbage
Counts
84 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
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(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal -2 binary32) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (/.f32 (*.f32 (neg.f32 (log.f32 alpha)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (*.f32 alpha alpha))))) (*.f32 alpha alpha))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (-.f32 (*.f32 (/.f32 alpha (*.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)))) (*.f32 alpha alpha))) cosTheta) cosTheta))))
(/.f32 (/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) cosTheta) cosTheta))))
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) (*.f32 (*.f32 alpha alpha) alpha)) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))) cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Calls

4 calls:

55.0ms
(*.f32 alpha alpha)
25.0ms
cosTheta
24.0ms
alpha
21.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
Results
AccuracySegmentsBranch
98.9%1(*.f32 alpha alpha)
98.9%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.9%1cosTheta
98.9%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes125.0ms (3%)

Memory
20.2MiB live, 102.9MiB allocated; 63ms collecting garbage
Counts
77 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
(/.f32 (*.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (-.f32 (*.f32 (/.f32 alpha (*.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) (-.f32 alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)) cosTheta) cosTheta))))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (*.f32 alpha alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) cosTheta) cosTheta))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
Calls

4 calls:

51.0ms
(*.f32 alpha alpha)
33.0ms
cosTheta
19.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
19.0ms
alpha
Results
AccuracySegmentsBranch
98.8%1(*.f32 alpha alpha)
98.8%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.8%1cosTheta
98.8%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes99.0ms (2.4%)

Memory
-4.4MiB live, 126.1MiB allocated; 43ms collecting garbage
Counts
65 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
(/.f32 (*.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
Calls

4 calls:

28.0ms
alpha
28.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
16.0ms
cosTheta
16.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
98.7%1(*.f32 alpha alpha)
98.7%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.7%1cosTheta
98.7%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes110.0ms (2.6%)

Memory
17.8MiB live, 111.6MiB allocated; 49ms collecting garbage
Counts
64 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ (* (- (* alpha alpha) 1) (* cosTheta cosTheta)) 1) #s(literal 1 binary32)))))
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (*.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
(/.f32 (*.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
Calls

4 calls:

49.0ms
cosTheta
26.0ms
(*.f32 alpha alpha)
16.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
16.0ms
alpha
Results
AccuracySegmentsBranch
98.5%1(*.f32 alpha alpha)
98.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%1cosTheta
98.5%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes62.0ms (1.5%)

Memory
20.8MiB live, 56.5MiB allocated; 21ms collecting garbage
Counts
39 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
Calls

4 calls:

30.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
10.0ms
alpha
10.0ms
(*.f32 alpha alpha)
10.0ms
cosTheta
Results
AccuracySegmentsBranch
98.5%1(*.f32 alpha alpha)
98.5%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
98.5%1cosTheta
98.5%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes55.0ms (1.3%)

Memory
16.2MiB live, 58.6MiB allocated; 16ms collecting garbage
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(*.f32 #s(approx (/ (/ (- (* alpha alpha) 1) (- alpha 1)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
Calls

4 calls:

24.0ms
cosTheta
10.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
10.0ms
alpha
10.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
97.3%1(*.f32 alpha alpha)
97.3%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.3%1cosTheta
97.3%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes109.0ms (2.6%)

Memory
7.7MiB live, 52.2MiB allocated; 83ms collecting garbage
Counts
29 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
Calls

4 calls:

84.0ms
cosTheta
8.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
8.0ms
alpha
7.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
97.3%1(*.f32 alpha alpha)
97.3%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.3%1cosTheta
97.3%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes40.0ms (1%)

Memory
-20.7MiB live, 33.2MiB allocated; 14ms collecting garbage
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
Calls

4 calls:

19.0ms
cosTheta
7.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
6.0ms
alpha
6.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
97.3%1(*.f32 alpha alpha)
97.3%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
97.3%1cosTheta
97.3%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes36.0ms (0.9%)

Memory
1.6MiB live, 43.2MiB allocated; 13ms collecting garbage
Counts
22 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
Calls

4 calls:

17.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
6.0ms
alpha
6.0ms
cosTheta
6.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
94.7%1(*.f32 alpha alpha)
94.7%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.7%1cosTheta
94.7%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes34.0ms (0.8%)

Memory
-13.6MiB live, 29.2MiB allocated; 15ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(*.f32 #s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 #s(literal 1 binary32) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
Calls

4 calls:

5.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms
cosTheta
5.0ms
alpha
5.0ms
(*.f32 alpha alpha)
Results
AccuracySegmentsBranch
94.6%1(*.f32 alpha alpha)
94.6%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
94.6%1cosTheta
94.6%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes15.0ms (0.4%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
Calls

4 calls:

4.0ms
alpha
4.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
3.0ms
(*.f32 alpha alpha)
3.0ms
cosTheta
Results
AccuracySegmentsBranch
1.9%1cosTheta
1.9%1(*.f32 alpha alpha)
1.9%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.9%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
Outputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta (*.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
Calls

4 calls:

1.0ms
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.0ms
(*.f32 alpha alpha)
1.0ms
alpha
1.0ms
cosTheta
Results
AccuracySegmentsBranch
1.9%1(*.f32 alpha alpha)
1.9%1(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.9%1cosTheta
1.9%1alpha
Compiler

Compiled 29 to 20 computations (31% saved)

derivations534.0ms (12.8%)

Memory
13.4MiB live, 308.9MiB allocated; 202ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 328 to 78 computations (76.2% saved)

preprocess96.0ms (2.3%)

Memory
20.7MiB live, 257.9MiB allocated; 25ms collecting garbage
Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 664 to 891 computations (46.5% saved)

end0.0ms (0%)

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

Profiling

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