Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze38.0ms (0.4%)

Memory

22.2MiB live, 66.8MiB allocated; 5ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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)

sample1.1s (11.8%)

Memory

62.3MiB live, 1 358.6MiB allocated; 237ms collecting garbage

Samples

840.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 579.0ms

ival-mult!: 280.0ms (48.3% of total)

ival-log: 217.0ms (37.5% of total)

ival-div!: 37.0ms (6.4% of total)

ival-sub!: 22.0ms (3.8% of total)

ival-add!: 20.0ms (3.5% of total)

adjust: 1.0ms (0.2% 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

preprocess67.0ms (0.7%)

Memory

-47.2MiB live, 65.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	146
1	198	146
2	776	146
3	5921	146

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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))))

Status

Accuracy

Program

▶

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 36 to 26 computations (27.8% saved)

series73.0ms (0.8%)

Memory

17.6MiB live, 157.2MiB allocated; 7ms collecting garbage

Counts

13 → 61

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) (- (pow alpha 2) 1))))
#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)))
#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) (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:

Time	Variable		Point	Expression
25.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
16.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
10.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
10.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
5.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)

rewrite576.0ms (6.4%)

Memory

39.7MiB live, 589.1MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	2886
0	323	2682
1	1025	2579
2	6269	2409
0	8163	2320
0	41950	2127

Stop Event

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

Counts

74 → 988

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) (- (pow alpha 2) 1))))
#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)))
#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) (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 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))) (.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) (fma.f32 (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) (.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
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(fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta))))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha) (.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta))))
(fma.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha) (.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha) (.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 alpha alpha)))
(fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha))
(fma.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta) (*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta))))
(fma.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))
(fma.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 cosTheta (.f32 (.f32 alpha alpha) cosTheta) (*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta))))
(fma.f32 cosTheta (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))
(fma.f32 cosTheta (.f32 (.f32 alpha alpha) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 cosTheta (neg.f32 cosTheta) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (*.f32 alpha alpha)))
(fma.f32 cosTheta (neg.f32 cosTheta) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))
(fma.f32 alpha (.f32 alpha (.f32 cosTheta cosTheta)) (*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta))))
(fma.f32 alpha (.f32 alpha (.f32 cosTheta cosTheta)) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))
(fma.f32 alpha (.f32 alpha (.f32 cosTheta cosTheta)) (*.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha) (.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta))))
(+.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha) (.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha) (.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 alpha alpha)))
(+.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha))
(.f32 (.f32 cosTheta (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta) (.f32 cosTheta cosTheta)) (-.f32 (.f32 (.f32 alpha alpha) cosTheta) (neg.f32 cosTheta)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta) (.f32 cosTheta cosTheta)) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta) (.f32 (.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))) (fma.f32 (.f32 cosTheta alpha) alpha (.f32 (neg.f32 cosTheta) #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta)) (+.f32 (neg.f32 cosTheta) (.f32 (neg.f32 cosTheta) (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 3 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta (-.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (neg.f32 cosTheta)))))
(/.f32 (+.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 3 binary32))) (fma.f32 cosTheta cosTheta (-.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) (.f32 (.f32 alpha alpha) cosTheta)))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta (fma.f32 (.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (.f32 (neg.f32 cosTheta) #s(literal -1 binary32)) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (*.f32 (neg.f32 cosTheta) #s(literal -1 binary32))))))
(/.f32 (-.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 cosTheta) (.f32 alpha alpha)) #s(literal 3 binary32))) (fma.f32 cosTheta cosTheta (fma.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta (.f32 (neg.f32 cosTheta) (.f32 (neg.f32 cosTheta) (*.f32 alpha alpha))))))
(/.f32 (-.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 3 binary32))) (fma.f32 cosTheta cosTheta (fma.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta (.f32 (neg.f32 cosTheta) (.f32 (*.f32 alpha alpha) cosTheta)))))
(-.f32 (.f32 (.f32 alpha alpha) cosTheta) (*.f32 (neg.f32 cosTheta) #s(literal -1 binary32)))
(-.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta)
(-.f32 (neg.f32 cosTheta) (.f32 (neg.f32 cosTheta) (.f32 alpha alpha)))
(-.f32 (neg.f32 cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
(fma.f32 (*.f32 cosTheta alpha) alpha (neg.f32 cosTheta))
(fma.f32 #s(literal -1 binary32) cosTheta (.f32 (.f32 alpha alpha) cosTheta))
(fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))
(fma.f32 cosTheta #s(literal -1 binary32) (.f32 (.f32 alpha alpha) cosTheta))
(fma.f32 cosTheta (*.f32 alpha alpha) (neg.f32 cosTheta))
(fma.f32 #s(literal 1 binary32) (neg.f32 cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
(fma.f32 alpha (*.f32 cosTheta alpha) (neg.f32 cosTheta))
(+.f32 (.f32 (.f32 alpha alpha) cosTheta) (neg.f32 cosTheta))
(+.f32 (neg.f32 cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
(neg.f32 (*.f32 (fma.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (/.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))) cosTheta) cosTheta (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (fma.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 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (fma.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 (fma.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (fma.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 (fma.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) #s(literal 1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 (pow.f32 cosTheta #s(literal -6 binary32)) (.f32 (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))))) (PI.f32)) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (/.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (log.f32 alpha))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha) (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (/.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) alpha) alpha (/.f32 #s(literal 1/2 binary32) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 (fma.f32 (.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (/.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (log.f32 alpha))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (-.f32 (/.f32 (.f32 alpha (.f32 alpha (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))) (.f32 alpha alpha) (.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (/.f32 (/.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (log.f32 alpha)))) alpha) alpha (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (fma.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 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) 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 (log.f32 alpha) (PI.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 1/2 binary32) (.f32 alpha alpha)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (.f32 alpha (.f32 alpha (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (.f32 alpha (.f32 alpha (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (.f32 alpha (.f32 alpha (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))))
#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
#s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) alpha) alpha))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (+.f32 alpha alpha) alpha) (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 alpha alpha) alpha) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 alpha alpha))))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (fma.f32 cosTheta (/.f32 cosTheta (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (fma.f32 cosTheta (/.f32 cosTheta (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))) 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 (log.f32 alpha) (PI.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 1/2 binary32) (.f32 alpha alpha)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (.f32 alpha (.f32 alpha (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (.f32 alpha (.f32 alpha (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) cosTheta) cosTheta)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) #s(literal 1/2 binary32)) (.f32 cosTheta cosTheta)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (.f32 alpha (.f32 alpha (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (+.f32 alpha alpha) alpha) (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 alpha alpha) alpha) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 alpha alpha))))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))

eval94.0ms (1%)

Memory: -21.2MiB live, 180.4MiB allocated; 35ms collecting garbage
Compiler: Compiled 17 409 to 3 403 computations (80.5% saved)

prune35.0ms (0.4%)

Memory

-18.0MiB live, 83.0MiB allocated; 6ms collecting garbage

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	939	26	965
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	940	26	966

Accuracy

100.0%

Counts

966 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
▶	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
	98.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
▶	98.3%	(/.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 (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
	98.4%	(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.5%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32)))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) #s(literal 3 binary32))) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (neg.f32 (.f32 (log.f32 alpha) (PI.f32))))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (fma.f32 (log.f32 alpha) (log.f32 alpha) (-.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (log.f32 alpha) (log.f32 alpha)))))) (+.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 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	52.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)))
	96.5%	(/.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)) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
	96.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
	97.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 alpha alpha) alpha) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 alpha alpha)))))))
	48.8%	(/.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) #s(literal 2 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))))
	97.3%	(-.f32 (/.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32))))
	98.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	98.0%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
▶	98.3%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	96.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
▶	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
	68.2%	#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))

Compiler

Compiled 1 238 to 962 computations (22.3% saved)

series328.0ms (3.7%)

Memory

87.6MiB live, 413.1MiB allocated; 117ms collecting garbage

Counts

40 → 243

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))
#s(literal 1/2 binary32)
(.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)
(.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta)
(*.f32 (log.f32 alpha) (PI.f32))
(log.f32 alpha)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) alpha)
(/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(-.f32 alpha #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 (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32))
(.f32 (.f32 alpha alpha) (*.f32 alpha alpha))
(fma.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 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))
(.f32 (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta)
(.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta)

Outputs
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))) (* 1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2))))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
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#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) (* 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) (* 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 (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) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)) #s(hole binary32 (* (pow alpha 2) (- (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)) (/ (pow cosTheta 2) (pow alpha 2))))))
#s(approx (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) #s(hole binary32 (* (pow alpha 2) cosTheta)))
#s(approx (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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))))))))
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#s(approx (* (* (log alpha) (PI)) cosTheta) #s(hole binary32 (* cosTheta (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
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#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (+ (PI) (PI)) (log alpha)) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
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#s(approx (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ 1/2 (* alpha (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ 1 (* alpha (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (/ 1 (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha))))
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#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) #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 alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (+ (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (+ (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))))
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#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* 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 (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:

Time	Variable		Point	Expression
119.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta)) 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta) (* (* (log alpha) (PI)) cosTheta) (* (log alpha) (PI)) (log alpha) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (- alpha 1) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)) (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta))
66.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta)) 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta) (* (* (log alpha) (PI)) cosTheta) (* (log alpha) (PI)) (log alpha) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (- alpha 1) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)) (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta))
47.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta)) 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta) (* (* (log alpha) (PI)) cosTheta) (* (log alpha) (PI)) (log alpha) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (- alpha 1) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)) (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta))
36.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta)) 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta) (* (* (log alpha) (PI)) cosTheta) (* (log alpha) (PI)) (log alpha) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (- alpha 1) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)) (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta))
27.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta)) 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta) (* (* (log alpha) (PI)) cosTheta) (* (log alpha) (PI)) (log alpha) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (- alpha 1) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)) (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta))

rewrite877.0ms (9.8%)

Memory

37.7MiB live, 826.0MiB allocated; 221ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1300	16072
0	1366	13970
1	4767	13704
0	8096	11517
0	51732	11192

Stop Event

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

Counts

283 → 2 118

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
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(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))
#s(literal 1/2 binary32)
(.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)
(.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta)
(*.f32 (log.f32 alpha) (PI.f32))
(log.f32 alpha)
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
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(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
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(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32))
(.f32 (.f32 alpha alpha) (*.f32 alpha alpha))
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(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
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(+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))
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(.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta)
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#s(approx cosTheta #s(hole binary32 cosTheta))
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#s(approx (* (* alpha alpha) (* alpha alpha)) #s(hole binary32 (pow alpha 4)))
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#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
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#s(approx (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (* (+ 1 alpha) (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* -1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 2))) (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ 1/2 (* alpha (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ 1 (* alpha (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (/ 1 (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (+ (* -1/2 (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (/ 1 (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (/ 1 (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) alpha))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha)) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) alpha))))
#s(approx (- alpha 1) #s(hole binary32 (* -1 (* alpha (- (/ 1 alpha) 1)))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) #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 alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (+ (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))) (+ (* -1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (- 1 (pow cosTheta 2)) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (+ (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (/ (- (* (* alpha alpha) (* 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) (* 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 (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 (fma.f32 alpha alpha #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) alpha))
(.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (neg.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))) (neg.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))))) (-.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (neg.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))))) (fma.f32 alpha (/.f32 alpha (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (-.f32 (.f32 (neg.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))) (neg.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))))) (.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (neg.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (neg.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (.f32 #s(literal 4 binary32) (.f32 (log.f32 alpha) (log.f32 alpha))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal -2 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32))) (.f32 (.f32 (.f32 #s(literal 4 binary32) (.f32 (log.f32 alpha) (log.f32 alpha))) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))) #s(literal -1 binary32))) (.f32 (neg.f32 (.f32 (.f32 #s(literal 4 binary32) (.f32 (log.f32 alpha) (log.f32 alpha))) (.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 (.f32 (.f32 #s(literal 4 binary32) (.f32 (log.f32 alpha) (log.f32 alpha))) (.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))
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alpha
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#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (log.f32 alpha))))) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (log.f32 alpha)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (-.f32 (fma.f32 (.f32 alpha alpha) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 cosTheta cosTheta)))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) (/.f32 alpha (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (-.f32 (-.f32 (fma.f32 (.f32 alpha alpha) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (fma.f32 (.f32 alpha alpha) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))))) (fma.f32 (.f32 alpha alpha) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (-.f32 (-.f32 (+.f32 (fma.f32 (.f32 alpha alpha) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))) (fma.f32 (.f32 alpha alpha) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 (pow.f32 cosTheta #s(literal -6 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32))))))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) (/.f32 alpha (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (.f32 alpha alpha) alpha) (/.f32 alpha (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (pow.f32 cosTheta #s(literal 6 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))))) (.f32 cosTheta cosTheta)))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 alpha) (.f32 cosTheta cosTheta))))) (*.f32 cosTheta cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.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) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))) (.f32 alpha alpha)) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (fma.f32 (fma.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))) (/.f32 (.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) (pow.f32 (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)) #s(literal 2 binary32)))) (.f32 alpha alpha) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))) (.f32 alpha alpha)) (/.f32 #s(literal -1/2 binary32) (.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (/.f32 (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))) #s(literal 0 binary32)) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))) #s(literal 1/48 binary32) (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) #s(literal 0 binary32)) (pow.f32 (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)) #s(literal 2 binary32))) #s(literal -1/2880 binary32) (/.f32 (.f32 (fma.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))) (/.f32 (.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) (pow.f32 (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)) #s(literal 2 binary32)))) (.f32 cosTheta cosTheta)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) (pow.f32 (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)) #s(literal 2 binary32)))) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))) (/.f32 (.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) (.f32 alpha alpha) (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))) (.f32 alpha alpha)) (/.f32 #s(literal -1/2 binary32) (.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))))
#s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))
#s(approx (+ (* alpha alpha) -1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (fma.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 1/24 binary32) (.f32 alpha alpha)) #s(literal 0 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (fma.f32 (.f32 (log.f32 alpha) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (+.f32 (PI.f32) (PI.f32)) (.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 alpha alpha)) (.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 alpha alpha)))))
#s(approx (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (exp.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
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#s(approx (* (log alpha) (PI)) (*.f32 (log.f32 alpha) (PI.f32)))
#s(approx (log alpha) (log.f32 alpha))
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#s(approx (+ 1 alpha) #s(literal 1 binary32))
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#s(approx (- alpha 1) #s(literal -1 binary32))
#s(approx (- alpha 1) (-.f32 alpha #s(literal 1 binary32)))
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#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (.f32 (-.f32 (.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) (log.f32 alpha)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) (log.f32 alpha)) (PI.f32)))) (.f32 alpha alpha) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))) (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) (log.f32 alpha)) (PI.f32))))) (.f32 alpha alpha)) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal -1/2 binary32) (.f32 (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha)))))
#s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))
#s(approx (+ (* alpha alpha) -1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))
#s(approx (* (* alpha alpha) (* alpha alpha)) (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha))
#s(approx (+ (* alpha alpha) 1) #s(literal 1 binary32))
#s(approx (+ (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal 1 binary32)))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
#s(approx (* (+ (PI) (PI)) (log alpha)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
#s(approx (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) (neg.f32 cosTheta))
#s(approx (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))) (*.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha 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 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
#s(approx (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (pow.f32 alpha (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha)) (+.f32 (PI.f32) (PI.f32))))
#s(approx (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha 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 (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha))) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha)))) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 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 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha)))) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))))))
#s(approx (/ 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (* (* (* (log alpha) (PI)) cosTheta) cosTheta) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))
#s(approx (* (* (log alpha) (PI)) cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta))
#s(approx (* (log alpha) (PI)) (*.f32 (log.f32 alpha) (PI.f32)))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha))) (fma.f32 (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta (.f32 (PI.f32) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (.f32 alpha alpha))))) (.f32 alpha alpha)))
#s(approx (* (+ (PI) (PI)) (log alpha)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha))) (fma.f32 (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (+ 1 alpha) alpha)
#s(approx (+ 1 alpha) (+.f32 #s(literal 1 binary32) alpha))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) alpha)))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) alpha) #s(literal -1/2 binary32)) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) alpha))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) alpha) #s(literal -1/2 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) alpha))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 alpha alpha) alpha))) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) alpha) #s(literal -1/2 binary32)) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) alpha))
#s(approx (- alpha 1) alpha)
#s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) alpha))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)))) (-.f32 (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 alpha))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 6 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (pow.f32 cosTheta #s(literal 8 binary32))) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))))) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 6 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 alpha)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (*.f32 alpha alpha) alpha))))))))))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha 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 (- (* (* alpha alpha) (* alpha alpha)) 1) (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha)))
#s(approx (+ (* alpha alpha) 1) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal 1 binary32)))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta (.f32 (PI.f32) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (.f32 alpha alpha))))) (.f32 alpha alpha)))
#s(approx (* (+ (PI) (PI)) (log alpha)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha)))
#s(approx (* (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) cosTheta) (.f32 (fma.f32 cosTheta (/.f32 cosTheta (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))
#s(approx (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
#s(approx (* (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) cosTheta) (.f32 (-.f32 cosTheta (/.f32 cosTheta (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha))) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha)))) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 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 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha)))) (fma.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))))))
#s(approx (/ 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (* (* (* (log alpha) (PI)) cosTheta) cosTheta) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))
#s(approx (* (* (log alpha) (PI)) cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta))
#s(approx (* (log alpha) (PI)) (*.f32 (log.f32 alpha) (PI.f32)))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 alpha)))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (pow.f32 cosTheta #s(literal 8 binary32))) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1/2 binary32) (-.f32 (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 alpha)))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (*.f32 alpha alpha))))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 alpha alpha) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) (+.f32 cosTheta cosTheta))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta (.f32 (PI.f32) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (.f32 alpha alpha))))) (.f32 alpha alpha)))
#s(approx (* (+ (PI) (PI)) (log alpha)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha))) (fma.f32 (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 (.f32 (.f32 alpha alpha) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) alpha)))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) alpha) #s(literal -1/2 binary32)) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) alpha))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal -1/2 binary32) alpha) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) alpha))
#s(approx (/ (- alpha 1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (log.f32 alpha) (PI.f32))) alpha))) alpha) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) alpha) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta))) alpha))
#s(approx (- alpha 1) (*.f32 (-.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal 1 binary32)) alpha))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)))) (-.f32 (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 alpha))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 6 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (pow.f32 cosTheta #s(literal 8 binary32))) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha))))) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 4 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 6 binary32)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 alpha)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (*.f32 alpha alpha) alpha))))))))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta) (.f32 alpha alpha))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta (.f32 (PI.f32) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (.f32 alpha alpha))))) (.f32 alpha alpha)))
#s(approx (* (+ (PI) (PI)) (log alpha)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))

eval156.0ms (1.7%)

Memory: -15.9MiB live, 280.2MiB allocated; 45ms collecting garbage
Compiler: Compiled 26 218 to 6 566 computations (75% saved)

prune51.0ms (0.6%)

Memory

18.3MiB live, 109.7MiB allocated; 5ms collecting garbage

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1 553	24	1 577
Fresh	10	11	21
Picked	3	2	5
Done	0	0	0
Total	1 566	37	1 603

Accuracy

100.0%

Counts

1 603 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.7%	(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
✓	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	97.8%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
▶	50.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
	98.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	65.4%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) alpha) (neg.f32 (-.f32 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 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (neg.f32 (-.f32 alpha #s(literal 1 binary32))))) cosTheta) cosTheta))))
	82.7%	(/.f32 (/.f32 #s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #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 (.f32 (/.f32 #s(approx (- ( (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
	97.5%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32)))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (log.f32 (exp.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	96.5%	(/.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))))
	96.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
	96.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
▶	98.8%	(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	98.4%	(.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	98.4%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.0%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.2%	(.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	97.7%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	96.3%	(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
	96.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) cosTheta)) cosTheta))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))
	1.8%	#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))))
✓	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
	1.8%	#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 (PI.f32)) (log.f32 alpha)) cosTheta)))
	1.8%	#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))))
▶	68.2%	#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
▶	1.8%	#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 cosTheta cosTheta))))
▶	17.6%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	68.2%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
	97.2%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))) (*.f32 alpha alpha)))

Compiler

Compiled 1 647 to 1 428 computations (13.3% saved)

series118.0ms (1.3%)

Memory

-15.0MiB live, 212.3MiB allocated; 22ms collecting garbage

Counts

40 → 212

Calls

Call 1

Inputs
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(log.f32 alpha)
alpha
#s(literal 2 binary32)
(log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1 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 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta)))
#s(literal 1/2 binary32)
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.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 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))
(fma.f32 cosTheta cosTheta #s(literal -1 binary32))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))
#s(literal -1/2 binary32)
(*.f32 alpha alpha)
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))
(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32))
(fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))

Outputs
#s(approx (/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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)))))))
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Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	alpha	@	-inf	((/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (exp (* (log alpha) 2)) 1) (* (log alpha) 2) (log alpha) alpha 2 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1)) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* -1/2 (* alpha alpha)) -1/2 (* alpha alpha) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)))
21.0ms	alpha	@	inf	((/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (exp (* (log alpha) 2)) 1) (* (log alpha) 2) (log alpha) alpha 2 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1)) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* -1/2 (* alpha alpha)) -1/2 (* alpha alpha) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)))
20.0ms	cosTheta	@	inf	((/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (exp (* (log alpha) 2)) 1) (* (log alpha) 2) (log alpha) alpha 2 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1)) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* -1/2 (* alpha alpha)) -1/2 (* alpha alpha) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)))
16.0ms	cosTheta	@	-inf	((/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (exp (* (log alpha) 2)) 1) (* (log alpha) 2) (log alpha) alpha 2 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1)) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* -1/2 (* alpha alpha)) -1/2 (* alpha alpha) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)))
15.0ms	alpha	@	0	((/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (exp (* (log alpha) 2)) 1) (* (log alpha) 2) (log alpha) alpha 2 (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (PI) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1)) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* -1/2 (* alpha alpha)) -1/2 (* alpha alpha) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)))

rewrite1.1s (12.1%)

Memory

-17.8MiB live, 439.0MiB allocated; 1.7s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1021	12439
0	1087	10916
1	3629	10689
0	8063	10554

Stop Event

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

Counts

252 → 442

Calls

Call 1

Inputs
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(log.f32 alpha)
alpha
#s(literal 2 binary32)
(log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
#s(literal 1 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 cosTheta cosTheta))))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta)))
#s(literal 1/2 binary32)
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.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 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))
(fma.f32 cosTheta cosTheta #s(literal -1 binary32))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))
#s(literal -1/2 binary32)
(*.f32 alpha alpha)
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))
(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
(.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32))
(fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
#s(approx (/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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 (/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))) (* 1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2))))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (/ (- (exp (* (log alpha) 2)) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (* (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))) (* 1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2))))) (- (pow alpha 2) 1))) (+ (* -1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)) (* (pow (PI) 2) (pow (log alpha) 2)))) (* 1/2880 (/ (* (+ (* -2880 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 960 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))) (* 1920 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2)))))))) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))) (* 1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2))))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))))) (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -2880 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 960 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))) (* 1920 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))))))))))))
#s(approx (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (exp (* 2 (* (PI) (log alpha))))))
#s(approx (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (+ (exp (* 2 (* (PI) (log alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (* (exp (* 2 (* (PI) (log alpha)))) (* (log alpha) (- (pow alpha 2) 1)))))))))
#s(approx (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (+ (exp (* 2 (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (exp (* 2 (* (PI) (log alpha)))) (* (log alpha) (- (pow alpha 2) 1))))) (* 2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (exp (* 2 (* (PI) (log alpha)))) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
#s(approx (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (+ (exp (* 2 (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (exp (* 2 (* (PI) (log alpha)))) (* (log alpha) (- (pow alpha 2) 1))))) (* (pow cosTheta 2) (+ (* 4/3 (* (pow cosTheta 2) (* (pow (PI) 3) (* (exp (* 2 (* (PI) (log alpha)))) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))))) (* 2 (* (pow (PI) 2) (* (exp (* 2 (* (PI) (log alpha)))) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))))))))))
#s(approx (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (PI))))
#s(approx (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (+ (* 2 (PI)) (* 2 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 1))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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)))))))
#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)))))))
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#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 3) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))))))
#s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* -1 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* 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) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* 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) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* 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 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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 (* (+ (PI) (PI)) (log alpha)) #s(hole binary32 (* -2 (* (PI) (log (/ 1 alpha))))))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow alpha 2) (+ (/ (* (pow cosTheta 2) (- (/ 1 (pow cosTheta 2)) 1)) (pow alpha 2)) (pow cosTheta 2)))))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (pow alpha 2)))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (* (pow alpha 2) (- (+ 1 (/ 1 (* (pow alpha 2) (pow cosTheta 2)))) (/ 1 (pow alpha 2))))))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ 1 (/ 1 (* (pow alpha 2) (pow cosTheta 2)))))))
#s(approx (* (log alpha) 2) #s(hole binary32 (* 2 (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 alpha))))))
#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 (/ 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (* (* (log alpha) (PI)) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (/ 1/2 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- (pow cosTheta 2) 1))))))
#s(approx (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1)) #s(hole binary32 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- (pow cosTheta 2) 1)))))
#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (* 1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 3) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))))
#s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (+ (PI) (PI)) (log alpha)) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))

Outputs
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(/.f32 (neg.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (neg.f32 (neg.f32 (log.f32 (pow.f32 alpha (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))))))))
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(-.f32 (/.f32 (.f32 alpha alpha) (log.f32 (pow.f32 alpha (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 alpha (.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32)))))))
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(fma.f32 (neg.f32 alpha) (neg.f32 alpha) #s(literal -1 binary32))
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alpha
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(pow.f32 alpha (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32)))
(.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (+.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 1 binary32) (+.f32 (PI.f32) (PI.f32))))
(fma.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 (+.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
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(*.f32 (fabs.f32 (fabs.f32 cosTheta)) (fabs.f32 (fabs.f32 cosTheta)))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (neg.f32 (fabs.f32 cosTheta)))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 (neg.f32 cosTheta)))
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(pow.f32 (neg.f32 cosTheta) #s(literal 2 binary32))
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cosTheta
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#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
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#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
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#s(approx (- (exp (* (log alpha) 2)) 1) #s(literal -1 binary32))
#s(approx (- (exp (* (log alpha) 2)) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* (log alpha) 2) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (log alpha) (log.f32 alpha))
#s(approx alpha alpha)
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (log.f32 alpha))))
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#s(approx (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (+.f32 (PI.f32) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))
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#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (- (exp (* (log alpha) 2)) 1) #s(literal -1 binary32))
#s(approx (- (exp (* (log alpha) 2)) 1) (fma.f32 alpha alpha #s(literal -1 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)))))
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#s(approx (* (log alpha) (PI)) (*.f32 (log.f32 alpha) (PI.f32)))
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#s(approx (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
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#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))
#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (-.f32 (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 alpha alpha)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))))
#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (-.f32 (.f32 (/.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal -1/2 binary32)) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 alpha alpha)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))))
#s(approx (/ (* -1/2 (* alpha alpha)) (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (-.f32 (.f32 (/.f32 (pow.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 8 binary32))) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal 1/2 binary32)) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 alpha alpha)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal -1/2 binary32) (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 (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))))))
#s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))) (.f32 alpha alpha)))
#s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (fma.f32 (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta) (/.f32 (.f32 (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (PI.f32)) (.f32 alpha alpha))) (.f32 alpha alpha)))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 alpha alpha)) (.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (-.f32 (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 alpha alpha)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (-.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 (.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 8 binary32))) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 alpha alpha)) (.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta) (/.f32 (.f32 (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (PI.f32)) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (+ (PI) (PI)) (log alpha)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))

eval42.0ms (0.5%)

Memory: -7.6MiB live, 80.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 8 871 to 2 197 computations (75.2% saved)

prune29.0ms (0.3%)

Memory

16.6MiB live, 62.1MiB allocated; 2ms collecting garbage

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	447	14	461
Fresh	10	20	30
Picked	4	1	5
Done	1	1	2
Total	462	36	498

Accuracy

100.0%

Counts

498 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) cosTheta) cosTheta)))))
✓	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	97.8%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
▶	50.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
	44.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 #s(approx (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha))) #s(literal 1 binary32)) (.f32 alpha alpha))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
▶	48.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
	96.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
▶	98.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	82.7%	(/.f32 (/.f32 #s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #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 (.f32 (/.f32 #s(approx (- ( (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
	97.5%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32)))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
▶	96.5%	(/.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))))
	96.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
	96.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
	96.7%	(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
	96.5%	(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
	98.3%	(/.f32 #s(approx (- (exp (* (log alpha) 2)) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	98.4%	(.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	98.4%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.0%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.2%	(.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	97.7%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	96.3%	(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
	68.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
✓	68.2%	#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
	68.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (pow.f32 alpha (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
	67.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
▶	67.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	17.6%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	17.6%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
	68.2%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
	97.2%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))) (*.f32 alpha alpha)))

Compiler

Compiled 1 730 to 1 535 computations (11.3% saved)

series85.0ms (1%)

Memory

18.0MiB live, 159.8MiB allocated; 12ms collecting garbage

Counts

42 → 192

Calls

Call 1

Inputs
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(log.f32 alpha)
#s(literal 2 binary32)
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
#s(literal 1 binary32)
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.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))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
(.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))))
(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
(+.f32 (PI.f32) (PI.f32))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))
(.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
(.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))
(.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))
(-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))
(fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(/.f32 #s(literal 1 binary32) cosTheta)

Outputs
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (+ (* (* 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)))))))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 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)))) (* (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 (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (log alpha))))
#s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (+ (* 2 (log alpha)) (* 2 (* (pow cosTheta 2) (* (log alpha) (- (pow alpha 2) 1)))))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 1))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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)))))))
#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 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (/ -1/2 (* (PI) (log alpha)))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (- (* -1/2 (/ (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (- (* (pow cosTheta 2) (- (* -1/2 (/ (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (- (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1/2 (/ (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))))
#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) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (PI)) (log alpha)) (+ (* (* 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)))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* 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)))) (* (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) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 1))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (/ (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) (pow cosTheta 2))))
#s(approx (/ 1 (* cosTheta cosTheta)) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) #s(hole binary32 1))
#s(approx (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) #s(hole binary32 (/ (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) (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 alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))
#s(approx (/ (/ 1 cosTheta) cosTheta) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (/ 1 cosTheta) #s(hole binary32 (/ 1 cosTheta)))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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 (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (* (pow cosTheta 2) (* (log alpha) (- (pow alpha 2) 1))))))
#s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (* (log alpha) (- (pow alpha 2) 1))) (* 2 (/ (log alpha) (pow cosTheta 2)))))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #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 (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (/ (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log alpha)))))) (pow cosTheta 2))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (/ (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (pow cosTheta 2))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (/ (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (+ (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (log alpha))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (log alpha)))))))) (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) (- (pow alpha 2) 1))))
#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) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)))
#s(approx (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) #s(hole binary32 (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)))
#s(approx (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) #s(hole binary32 (pow alpha 2)))
#s(approx (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) #s(hole binary32 (+ (/ 1 (pow cosTheta 2)) (pow alpha 2))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 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) (PI)) (* (* (log alpha) 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) (PI)) (* (* (log alpha) 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) (PI)) #s(hole binary32 (/ -1 (PI))))
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#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 (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) #s(hole binary32 (/ 1/2 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- (pow cosTheta 2) 1))))))
#s(approx (/ -1/2 (* (log alpha) (PI))) #s(hole binary32 (/ -1/2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log alpha) (PI)) #s(hole binary32 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#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 (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
#s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))))
#s(approx (* (+ (PI) (PI)) (log alpha)) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	alpha	@	-inf	((/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) alpha -1 (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) (log alpha) 2 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/ -1/2 (* (log alpha) (PI))) -1/2 (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/ 1 (* cosTheta cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) (/ (/ 1 cosTheta) cosTheta) (/ 1 cosTheta))
18.0ms	alpha	@	0	((/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) alpha -1 (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) (log alpha) 2 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/ -1/2 (* (log alpha) (PI))) -1/2 (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/ 1 (* cosTheta cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) (/ (/ 1 cosTheta) cosTheta) (/ 1 cosTheta))
18.0ms	alpha	@	inf	((/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) alpha -1 (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) (log alpha) 2 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/ -1/2 (* (log alpha) (PI))) -1/2 (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/ 1 (* cosTheta cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) (/ (/ 1 cosTheta) cosTheta) (/ 1 cosTheta))
9.0ms	cosTheta	@	inf	((/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) alpha -1 (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) (log alpha) 2 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/ -1/2 (* (log alpha) (PI))) -1/2 (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/ 1 (* cosTheta cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) (/ (/ 1 cosTheta) cosTheta) (/ 1 cosTheta))
6.0ms	cosTheta	@	0	((/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ (* alpha alpha) -1) (PI)) (+ (* alpha alpha) -1) alpha -1 (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) (log alpha) 2 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/ -1/2 (* (log alpha) (PI))) -1/2 (* (log alpha) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/ 1 (* cosTheta cosTheta)) (/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) 1) (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) (/ (/ 1 cosTheta) cosTheta) (/ 1 cosTheta))

rewrite750.0ms (8.4%)

Memory

27.4MiB live, 748.9MiB allocated; 107ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	704	8987
0	767	8040
1	2413	7781
0	8418	7227
0	50324	7064

Stop Event

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

Counts

234 → 1 373

Calls

Call 1

Inputs
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(log.f32 alpha)
#s(literal 2 binary32)
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
#s(literal 1 binary32)
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.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))
(/.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 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(log.f32 (*.f32 alpha alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
(.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))))
(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
(+.f32 (PI.f32) (PI.f32))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))
(.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
(.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))
(.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))
(-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))
(fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(/.f32 #s(literal 1 binary32) cosTheta)
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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) (+ (* (* 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)))))))))
#s(approx (/ (/ (+ (* alpha alpha) -1) (PI)) (* (* (log alpha) 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)))) (* (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 (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (log alpha))))
#s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (+ (* 2 (log alpha)) (* 2 (* (pow cosTheta 2) (* (log alpha) (- (pow alpha 2) 1)))))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 1))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 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))
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#s(approx (* (+ (PI) (PI)) (log alpha)) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))

Outputs
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))) (.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))))) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))) (.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))))))
(/.f32 (fma.f32 (.f32 alpha alpha) (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))))
(/.f32 (fma.f32 (.f32 alpha alpha) (PI.f32) (PI.f32)) (.f32 (.f32 (neg.f32 (PI.f32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 alpha alpha) (PI.f32) (PI.f32)) (.f32 (.f32 (PI.f32) (neg.f32 (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 alpha alpha) (PI.f32) (PI.f32)) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(/.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) #s(literal -1 binary32))) (pow.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) #s(literal 4 binary32)) (.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) #s(literal 4 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (.f32 (log.f32 alpha) #s(literal -2 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 (log.f32 alpha) #s(literal -2 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 alpha alpha) (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (.f32 #s(literal -2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (pow.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))
(/.f32 (.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (neg.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32)))))
(/.f32 (.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
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(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal -2 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta #s(literal -1 binary32))))
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(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
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(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(-.f32 (/.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (pow.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (pow.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32))))
(-.f32 (/.f32 (/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 (/.f32 (PI.f32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 alpha) (fma.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 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 alpha) (fma.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 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 cosTheta (.f32 cosTheta cosTheta)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) (fma.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 alpha) (.f32 cosTheta cosTheta))))) (*.f32 cosTheta cosTheta)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)))
#s(approx (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) (/ (/ 1 cosTheta) cosTheta)) (fma.f32 alpha alpha (/.f32 #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 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha)) (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (/.f32 (.f32 (.f32 (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (.f32 alpha alpha) (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32)))
#s(approx (/ (+ (* alpha alpha) -1) (PI)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx alpha alpha)
#s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal -2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
#s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 (-.f32 (.f32 (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha)) (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (.f32 (/.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (-.f32 (/.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))) (.f32 alpha alpha) (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ -1/2 (* (log alpha) (PI))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (* (log alpha) (PI)) (*.f32 (log.f32 alpha) (PI.f32)))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 #s(literal 1/2 binary32) (fma.f32 (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 alpha alpha) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha)) (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (/.f32 (.f32 (.f32 (+.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (.f32 alpha alpha) (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
#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))))
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#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (*.f32 cosTheta cosTheta))))
#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)) (log.f32 alpha) (.f32 (PI.f32) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (.f32 alpha alpha))))) (.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
#s(approx (log (* alpha alpha)) (*.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 (*.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 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 cosTheta (.f32 cosTheta cosTheta))) (.f32 (log.f32 alpha) (PI.f32))))) #s(literal 1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (PI.f32)) (log.f32 alpha)) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta (.f32 cosTheta cosTheta)) (.f32 cosTheta (.f32 cosTheta cosTheta))) (.f32 (log.f32 alpha) (PI.f32)))))) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (*.f32 cosTheta cosTheta))))
#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)) (log.f32 alpha) (.f32 (PI.f32) (/.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)) (.f32 alpha alpha))))) (.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))

eval107.0ms (1.2%)

Memory: 31.7MiB live, 213.7MiB allocated; 20ms collecting garbage
Compiler: Compiled 21 376 to 4 796 computations (77.6% saved)

prune72.0ms (0.8%)

Memory

-99.7MiB live, 108.7MiB allocated; 57ms collecting garbage

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1 224	16	1 240
Fresh	13	16	29
Picked	3	2	5
Done	0	2	2
Total	1 240	36	1 276

Accuracy

100.0%

Counts

1 276 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) cosTheta)))))
✓	98.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	97.8%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	48.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta)))))
	48.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta cosTheta)))))
	96.4%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
	96.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
	98.0%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal -2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
	98.2%	(/.f32 (/.f32 (.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	82.7%	(/.f32 (/.f32 #s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #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 (.f32 (/.f32 #s(approx (- ( (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
✓	96.5%	(/.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))))
	96.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
	96.1%	(/.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) #s(literal 4 binary32)) (.f32 (PI.f32) (PI.f32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	96.7%	(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
	96.5%	(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
	96.3%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
	98.4%	(.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	98.4%	(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	96.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	96.0%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
	97.7%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	96.3%	(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
	96.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
✓	68.2%	#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
	67.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
	67.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
	67.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
✓	67.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	67.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
	67.5%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
	17.6%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	17.6%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))

Compiler

Compiled 2 095 to 1 221 computations (41.7% saved)

regimes87.0ms (1%)

Memory

9.2MiB live, 148.5MiB allocated; 10ms collecting garbage

Counts

81 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal -2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #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 (log.f32 (pow.f32 alpha (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.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))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta cosTheta)))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #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 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 (/.f32 #s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #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 (.f32 (/.f32 #s(approx (- ( (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))) (*.f32 alpha alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 alpha alpha) alpha) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 alpha alpha)))))))
(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) #s(literal 4 binary32)) (.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)) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 #s(approx (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha))) #s(literal 1 binary32)) (.f32 alpha alpha))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (log.f32 (exp.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 #s(approx (- (exp (* (log alpha) 2)) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (log.f32 (pow.f32 alpha (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #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 (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (.f32 (+.f32 #s(literal 1 binary32) alpha) (neg.f32 (-.f32 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 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (neg.f32 (-.f32 alpha #s(literal 1 binary32))))) cosTheta) cosTheta))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (fma.f32 (log.f32 alpha) (log.f32 alpha) (-.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (log.f32 alpha) (log.f32 alpha)))))) (+.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)) (.f32 (/.f32 (-.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) #s(literal 3 binary32))) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (neg.f32 (.f32 (log.f32 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) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (pow.f32 (.f32 (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(literal 2 binary32))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (*.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))

Calls

4 calls:

22.0ms	(*.f32 alpha 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))))
21.0ms	cosTheta
19.0ms	alpha

Results

Accuracy	Segments	Branch
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%	1	`cosTheta`
98.8%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes69.0ms (0.8%)

Memory

32.5MiB live, 123.3MiB allocated; 3ms collecting garbage

Counts

66 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal -2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #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 (log.f32 (pow.f32 alpha (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.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))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (.f32 cosTheta cosTheta)))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #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 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32) (/.f32 (PI.f32) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 (/.f32 #s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #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 (.f32 (/.f32 #s(approx (- ( (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32))))) (*.f32 alpha alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (+.f32 alpha alpha) alpha) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 alpha alpha)))))))
(.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) #s(literal 4 binary32)) (.f32 (PI.f32) (PI.f32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))

Outputs

(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))

Calls

4 calls:

17.0ms	alpha
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))))
16.0ms	(*.f32 alpha alpha)
16.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f32 alpha alpha)`
98.6%	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))))`
98.6%	1	`alpha`
98.6%	1	`cosTheta`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes51.0ms (0.6%)

Memory

-4.4MiB live, 91.7MiB allocated; 5ms collecting garbage

Counts

46 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal -2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #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 (log.f32 (pow.f32 alpha (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))))

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))

Calls

4 calls:

14.0ms	(/.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))))
12.0ms	alpha
11.0ms	(*.f32 alpha alpha)
11.0ms	cosTheta

Results

Accuracy	Segments	Branch
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%	1	`cosTheta`
98.5%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes52.0ms (0.6%)

Memory

-2.5MiB live, 86.7MiB allocated; 7ms collecting garbage

Counts

44 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal -2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #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 (log.f32 (pow.f32 alpha (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))

Outputs

(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))

Calls

4 calls:

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))))
12.0ms	alpha
11.0ms	(*.f32 alpha alpha)
11.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f32 alpha alpha)`
98.4%	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))))`
98.4%	1	`cosTheta`
98.4%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes51.0ms (0.6%)

Memory

-12.0MiB live, 83.8MiB allocated; 8ms collecting garbage

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal -2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #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 (log.f32 (pow.f32 alpha (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))

Outputs

(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))

Calls

4 calls:

15.0ms	cosTheta
12.0ms	(/.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))))
11.0ms	(*.f32 alpha alpha)
11.0ms	alpha

Results

Accuracy	Segments	Branch
98.4%	1	`cosTheta`
98.4%	1	`(*.f32 alpha alpha)`
98.4%	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))))`
98.4%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes49.0ms (0.6%)

Memory

25.4MiB live, 69.9MiB allocated; 4ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal -2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha)))))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #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 (log.f32 (pow.f32 alpha (PI.f32))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (- (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 #s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) cosTheta) cosTheta)))))

Outputs

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

Calls

4 calls:

18.0ms	(/.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	(*.f32 alpha alpha)
10.0ms	alpha
10.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.0%	1	`cosTheta`
98.0%	1	`(*.f32 alpha alpha)`
98.0%	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))))`
98.0%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes217.0ms (2.4%)

Memory

4.9MiB live, 51.8MiB allocated; 1ms collecting garbage

Counts

30 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 #s(literal -2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (+.f32 (PI.f32) (PI.f32)))))

Outputs

(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))

Calls

4 calls:

192.0ms	alpha
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	(*.f32 alpha alpha)
8.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f32 alpha alpha)`
97.8%	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))))`
97.8%	1	`alpha`
97.8%	1	`cosTheta`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes30.0ms (0.3%)

Memory

8.0MiB live, 54.9MiB allocated; 1ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) ( (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (PI.f32)))))
(/.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))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (log.f32 (pow.f32 alpha (PI.f32))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))))

Outputs

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

Calls

4 calls:

8.0ms	alpha
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))))
7.0ms	(*.f32 alpha alpha)
7.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.6%	1	`(*.f32 alpha alpha)`
96.6%	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))))`
96.6%	1	`cosTheta`
96.6%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes30.0ms (0.3%)

Memory

-20.1MiB live, 32.5MiB allocated; 12ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.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 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#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)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) #s(literal 1/2 binary32)) (*.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) (PI.f32)) (*.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (log.f32 alpha))))

Outputs

#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))

Calls

4 calls:

12.0ms	cosTheta
6.0ms	(/.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
5.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
96.4%	1	`(*.f32 alpha alpha)`
96.4%	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))))`
96.4%	1	`alpha`
96.4%	1	`cosTheta`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes15.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB 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)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (*.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) cosTheta) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) #s(approx (* (* (log alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) (PI.f32)))))
#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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta (PI.f32)) (log.f32 alpha)) 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 (log.f32 alpha) (PI.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 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))

Outputs

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

Calls

4 calls:

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	alpha
3.0ms	cosTheta
3.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
67.5%	1	`cosTheta`
67.5%	1	`(*.f32 alpha alpha)`
67.5%	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))))`
67.5%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes35.0ms (0.4%)

Memory

-37.6MiB live, 9.4MiB allocated; 1ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

4 calls:

30.0ms	alpha
2.0ms	(/.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	cosTheta
1.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
67.5%	1	`(*.f32 alpha alpha)`
67.5%	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))))`
67.5%	1	`alpha`
67.5%	1	`cosTheta`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB 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)))) #s(approx (/ 1/2 (* (* (log alpha) (PI)) (+ (* cosTheta cosTheta) -1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))

Outputs

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

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	cosTheta
1.0ms	alpha

Results

Accuracy	Segments	Branch
67.4%	1	`(*.f32 alpha alpha)`
67.4%	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))))`
67.4%	1	`alpha`
67.4%	1	`cosTheta`

Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations2.3s (25.3%)

Memory

19.0MiB live, 473.1MiB allocated; 50ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 160 to 84 computations (47.5% saved)

preprocess358.0ms (4%)

Memory

25.7MiB live, 266.7MiB allocated; 49ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 246 to 1 069 computations (14.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (0.4%)

sample1.1s (11.8%)

preprocess67.0ms (0.7%)

series73.0ms (0.8%)

rewrite576.0ms (6.4%)

eval94.0ms (1%)

prune35.0ms (0.4%)

series328.0ms (3.7%)

rewrite877.0ms (9.8%)

eval156.0ms (1.7%)

prune51.0ms (0.6%)

series118.0ms (1.3%)

rewrite1.1s (12.1%)

eval42.0ms (0.5%)

prune29.0ms (0.3%)

series85.0ms (1%)

rewrite750.0ms (8.4%)

eval107.0ms (1.2%)

prune72.0ms (0.8%)

regimes87.0ms (1%)

regimes69.0ms (0.8%)

regimes51.0ms (0.6%)

regimes52.0ms (0.6%)

regimes51.0ms (0.6%)

regimes49.0ms (0.6%)

regimes217.0ms (2.4%)

regimes30.0ms (0.3%)

regimes30.0ms (0.3%)

regimes15.0ms (0.2%)

regimes35.0ms (0.4%)

regimes4.0ms (0%)

derivations2.3s (25.3%)

preprocess358.0ms (4%)

end0.0ms (0%)

Profiling