Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze178.0ms (2.1%)

Memory

-45.8MiB live, 66.1MiB allocated; 235ms 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)

sample1.6s (19%)

Memory

145.3MiB live, 1 424.7MiB allocated; 1.1s collecting garbage

Samples

893.0ms	8 254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 680.0ms

ival-mult!: 324.0ms (47.6% of total)

ival-log: 219.0ms (32.2% of total)

ival-sub!: 63.0ms (9.3% of total)

ival-div!: 50.0ms (7.4% of total)

ival-add!: 20.0ms (2.9% of total)

adjust: 1.0ms (0.1% of total)

ival-and: 1.0ms (0.1% of total)

ival-<=: 1.0ms (0.1% of total)

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

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

Bogosity

preprocess63.0ms (0.7%)

Memory

-14.5MiB live, 29.2MiB allocated; 15ms 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
▶	98.6%	(/.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

▶

98.6%

(/.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)

series191.0ms (2.3%)

Memory

16.8MiB live, 161.6MiB allocated; 136ms 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
137.0ms	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)
17.0ms	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)
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)
11.0ms	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)
4.0ms	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)

rewrite2.4s (29%)

Memory

-147.0MiB live, 782.5MiB allocated; 3.1s 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	2400
0	23240	2205

Stop Event

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

Counts

74 → 450

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

eval45.0ms (0.5%)

Memory: -5.7MiB live, 95.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 225 to 2 181 computations (69.8% saved)

prune28.0ms (0.3%)

Memory

-26.6MiB live, 62.4MiB allocated; 7ms collecting garbage

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	403	29	432
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	404	29	433

Accuracy

100.0%

Counts

433 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.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))))
	98.5%	(/.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))))
	98.6%	(/.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)))
	98.5%	(/.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))))
	98.5%	(/.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 (+.f32 #s(literal -1 binary32) (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 #s(literal -1 binary32) (.f32 alpha alpha))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))) cosTheta) cosTheta))))
	98.2%	(/.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 (+.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(literal 1 binary32))) (pow.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))) #s(literal 2 binary32)))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.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))) (PI.f32)))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (neg.f32 cosTheta) cosTheta (fma.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta #s(literal 1 binary32)))))
	52.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))
	54.8%	(/.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)))
▶	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha)))))
	95.2%	(/.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))))))
	95.1%	(/.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))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) #s(literal -2 binary32))))
▶	50.6%	(/.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) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)) #s(literal 2 binary32) (.f32 (log.f32 alpha) (/.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta))))) (.f32 cosTheta cosTheta))))
	98.6%	(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) cosTheta) cosTheta))))
	97.9%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha)) cosTheta) cosTheta))))
	68.0%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (- ( alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
	98.4%	(-.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 #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) (.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))))
	98.2%	(.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)))))
	98.0%	(.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)))))
	95.2%	#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)))
	68.0%	#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 1 244 to 1 030 computations (17.2% saved)

series245.0ms (2.9%)

Memory

64.2MiB live, 475.5MiB allocated; 56ms collecting garbage

Counts

43 → 201

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

6 calls:

Time	Variable		Point	Expression
59.0ms	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) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (* (+ (PI) (PI)) (log alpha)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (+ (* alpha alpha) -1) (log alpha)) 2 (* (log alpha) (/ 2 (* cosTheta cosTheta))) (/ 2 (* cosTheta cosTheta)))
49.0ms	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) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (* (+ (PI) (PI)) (log alpha)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (+ (* alpha alpha) -1) (log alpha)) 2 (* (log alpha) (/ 2 (* cosTheta cosTheta))) (/ 2 (* cosTheta 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) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (* (+ (PI) (PI)) (log alpha)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (+ (* alpha alpha) -1) (log alpha)) 2 (* (log alpha) (/ 2 (* cosTheta cosTheta))) (/ 2 (* cosTheta cosTheta)))
33.0ms	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) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (* (+ (PI) (PI)) (log alpha)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (+ (* alpha alpha) -1) (log alpha)) 2 (* (log alpha) (/ 2 (* cosTheta cosTheta))) (/ 2 (* cosTheta 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) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (* (+ (PI) (PI)) (log alpha)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (+ (* alpha alpha) -1) (log alpha)) 2 (* (log alpha) (/ 2 (* cosTheta cosTheta))) (/ 2 (* cosTheta cosTheta)))

rewrite416.0ms (5%)

Memory

17.7MiB live, 531.7MiB allocated; 118ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1064	11126
0	1136	10003
1	3901	9865
0	8019	9760
0	15524	9592

Stop Event

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

Counts

244 → 604

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

Outputs
(.f32 (/.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 #s(literal 1 binary32) alpha) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) (/.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 (pow.f32 (/.f32 (.f32 alpha alpha) (.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))) #s(literal 3 binary32)) (pow.f32 (/.f32 #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))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 alpha alpha) (.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 alpha alpha) (.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))) (fma.f32 (/.f32 #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 #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) (.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 #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 (/.f32 (.f32 alpha alpha) (.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 alpha alpha) (.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 #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 #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) (.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 #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 (.f32 alpha alpha) (.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 (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)) #s(literal 1 binary32))) (.f32 (.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 (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 (neg.f32 (-.f32 alpha #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32)))) (.f32 (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (log.f32 alpha)))
(/.f32 (.f32 (neg.f32 (-.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) alpha))) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)) (PI.f32))))
(/.f32 (.f32 (neg.f32 (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32)))) (.f32 (log.f32 alpha) (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)) (neg.f32 (+.f32 #s(literal 1 binary32) alpha))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32)) (PI.f32))))
(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32))) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) (.f32 (log.f32 alpha) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) alpha)) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal -2 binary32)) (PI.f32)) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (neg.f32 (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal -2 binary32)) (PI.f32)) (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) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (neg.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) (-.f32 alpha #s(literal 1 binary32)))) (neg.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) 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 (log.f32 alpha) #s(literal -2 binary32)) (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32)))) (neg.f32 (neg.f32 (.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 (+.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.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) (/.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 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (neg.f32 (.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 (fma.f32 alpha alpha #s(literal -1 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 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) (.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 #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))))
(expm1.f32 (*.f32 (log.f32 (fabs.f32 alpha)) #s(literal 2 binary32)))
(expm1.f32 (*.f32 (log.f32 (neg.f32 alpha)) #s(literal 2 binary32)))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(fma.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)) #s(literal -1 binary32))
(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) #s(literal -1 binary32))
(fma.f32 (neg.f32 alpha) (neg.f32 alpha) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 alpha alpha)
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(fabs.f32 (*.f32 alpha alpha))
(exp.f32 (*.f32 (log.f32 (fabs.f32 alpha)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 alpha)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
#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)))))
(.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 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
(.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))))
(fma.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
(+.f32 (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(.f32 (pow.f32 (exp.f32 #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (pow.f32 (exp.f32 #s(literal 1 binary32)) (.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 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (pow.f32 (.f32 alpha alpha) (*.f32 (PI.f32) #s(literal 1 binary32))))
(.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) (.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (pow.f32 alpha (+.f32 (PI.f32) (PI.f32))))
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#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)
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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 (+ (* alpha alpha) -1) #s(literal -1 binary32))
#s(approx (+ (* alpha alpha) -1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
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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 (* (+ (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)))
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#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)))
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#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 alpha alpha)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))) (/.f32 #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 (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
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#s(approx (+ 1 alpha) #s(literal 1 binary32))
#s(approx (+ 1 alpha) (+.f32 #s(literal 1 binary32) alpha))
#s(approx (* (+ (PI) (PI)) (log alpha)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #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 alpha)) (neg.f32 (log.f32 alpha)))
#s(approx (* (+ (* alpha alpha) -1) (log alpha)) (*.f32 (log.f32 alpha) (fma.f32 alpha 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 #s(literal 1/2 binary32) (.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 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (log.f32 alpha) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))) (.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha alpha))
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#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) (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 alpha alpha) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) #s(literal 2 binary32)))
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#s(approx (+ (* alpha alpha) -1) (*.f32 alpha alpha))
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#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal -1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta))))
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#s(approx (/ 1/2 (* (* (* (log alpha) (PI)) cosTheta) cosTheta)) (/.f32 #s(literal -1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta))))
#s(approx (* (* (* (log alpha) (PI)) cosTheta) cosTheta) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* (* (log alpha) (PI)) cosTheta) (neg.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) cosTheta)))
#s(approx (* (log alpha) (PI)) (neg.f32 (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (log alpha) (log.f32 (fabs.f32 alpha)))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)) #s(literal -2 binary32)))
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#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 alpha cosTheta) (*.f32 alpha cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (+.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
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#s(approx (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (.f32 (/.f32 alpha (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) #s(literal -1/2 binary32)))
#s(approx (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (neg.f32 (.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) alpha))) alpha)))
#s(approx (+ 1 alpha) alpha)
#s(approx (+ 1 alpha) (fma.f32 #s(literal 1 binary32) alpha #s(literal 1 binary32)))
#s(approx (* (+ (PI) (PI)) (log alpha)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta cosTheta) alpha))) alpha))
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#s(approx (- alpha 1) alpha)
#s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))
#s(approx (* (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (.f32 (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)) #s(literal -2 binary32)))
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#s(approx (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (PI.f32))))
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#s(approx (* (+ (* alpha alpha) -1) (log alpha)) (.f32 (.f32 alpha alpha) (log.f32 (fabs.f32 alpha))))
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#s(approx (* (log alpha) (/ 2 (* cosTheta cosTheta))) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))
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#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 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha)))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (+.f32 (neg.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha)))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha)))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))))))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta) (.f32 (PI.f32) (/.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (* (+ (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 (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (.f32 (.f32 alpha alpha) (.f32 alpha alpha)))) #s(literal -1/2 binary32) (-.f32 (fma.f32 (/.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta))))))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) alpha)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) alpha))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) alpha)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) alpha)))
#s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) alpha)))) alpha)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) alpha)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) alpha)))
#s(approx (- alpha 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)))

eval82.0ms (1%)

Memory: -24.2MiB live, 121.2MiB allocated; 21ms collecting garbage
Compiler: Compiled 12 170 to 2 947 computations (75.8% saved)

prune48.0ms (0.6%)

Memory

3.8MiB live, 91.6MiB allocated; 8ms collecting garbage

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	605	29	634
Fresh	14	10	24
Picked	4	1	5
Done	0	0	0
Total	623	40	663

Accuracy

100.0%

Counts

663 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.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))))
	98.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.5%	(/.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))))
	97.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.1%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
	98.5%	(/.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))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	54.8%	(/.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)))
	95.2%	(/.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(approx (- 1 (* cosTheta cosTheta)) #s(literal 1 binary32)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	95.4%	(/.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))))))
	95.1%	(/.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))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) #s(literal -2 binary32))))
▶	47.2%	(/.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) #s(approx (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))) (*.f32 cosTheta cosTheta))))
	50.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (fma.f32 #s(literal -2 binary32) (log.f32 alpha) (.f32 (/.f32 #s(literal 2 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	98.2%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	97.6%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.0%	(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	97.6%	(/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	97.9%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	98.1%	(.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.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))))
	98.4%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	97.5%	(.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 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
	97.7%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
▶	94.7%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
▶	98.2%	(.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)))))
	98.5%	(.f32 #s(approx (/ (+ 1 alpha) ( (+ (PI) (PI)) (log alpha))) (fma.f32 (/.f32 alpha (.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	95.2%	#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 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))))
	68.0%	#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))))
	68.0%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))

Compiler

Compiled 1 870 to 1 689 computations (9.7% saved)

series141.0ms (1.7%)

Memory

-25.5MiB live, 238.3MiB allocated; 81ms collecting garbage

Counts

38 → 214

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
48.0ms	cosTheta	@	0	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* 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))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* 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) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (/ 2 (* cosTheta cosTheta)) (log alpha)) (/ 2 (* cosTheta cosTheta)) 2 (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2))
20.0ms	alpha	@	-inf	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* 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))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* 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) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (/ 2 (* cosTheta cosTheta)) (log alpha)) (/ 2 (* cosTheta cosTheta)) 2 (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2))
18.0ms	alpha	@	inf	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* 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))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* 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) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (/ 2 (* cosTheta cosTheta)) (log alpha)) (/ 2 (* cosTheta cosTheta)) 2 (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2))
17.0ms	alpha	@	0	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* 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))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* 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) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (/ 2 (* cosTheta cosTheta)) (log alpha)) (/ 2 (* cosTheta cosTheta)) 2 (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2))
16.0ms	cosTheta	@	-inf	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* 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))) 1/2 (* (* (log alpha) (PI)) (* cosTheta cosTheta)) (* (log alpha) (PI)) (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (+ 1 alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (/ (- (* 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) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (* cosTheta cosTheta)) (* (PI) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta))))) (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (* (/ 2 (* cosTheta cosTheta)) (log alpha)) (/ 2 (* cosTheta cosTheta)) 2 (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2))

rewrite373.0ms (4.5%)

Memory

45.4MiB live, 544.3MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	980	12242
0	1039	10836
1	3608	10811
0	8572	10777
0	16633	10620

Stop Event

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

Counts

252 → 581

Calls

Call 1

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

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

eval61.0ms (0.7%)

Memory: -28.2MiB live, 119.5MiB allocated; 35ms collecting garbage
Compiler: Compiled 10 105 to 2 432 computations (75.9% saved)

prune31.0ms (0.4%)

Memory

30.7MiB live, 74.9MiB allocated; 4ms collecting garbage

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	536	16	552
Fresh	14	20	34
Picked	3	2	5
Done	1	0	1
Total	554	38	592

Accuracy

100.0%

Counts

592 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
✓	98.6%	(/.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))))
▶	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))))
	98.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	97.9%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	95.2%	(/.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)))))
	48.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (PI.f32) (.f32 #s(approx (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))) (*.f32 cosTheta cosTheta)))))
	98.1%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
	98.5%	(/.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))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	54.8%	(/.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)))
	95.2%	(/.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(approx (- 1 (* cosTheta cosTheta)) #s(literal 1 binary32)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	95.4%	(/.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))))))
	95.1%	(/.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))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) #s(literal -2 binary32))))
	47.3%	(/.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) #s(approx (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (/.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	98.2%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32))) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
▶	97.6%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	94.8%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
	97.6%	(/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	97.9%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	94.8%	(.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	97.5%	(.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 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
	95.0%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha))))
✓	94.7%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	94.4%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))))
▶	94.8%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32))))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	97.7%	(.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 (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
▶	94.9%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	98.2%	(.f32 (+.f32 (/.f32 alpha (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	95.1%	(.f32 #s(approx (/ (+ 1 alpha) ( (+ (PI) (PI)) (log alpha))) (fma.f32 (/.f32 alpha (.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
▶	47.4%	(.f32 #s(approx (/ (+ 1 alpha) ( (+ (PI) (PI)) (log alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	98.1%	(.f32 #s(approx (/ (+ 1 alpha) (PI)) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal 1 binary32) (PI.f32))) alpha)) (/.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)))))
	68.0%	#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)))))
	68.0%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))

Compiler

Compiled 1 767 to 1 618 computations (8.4% saved)

series259.0ms (3.1%)

Memory

-4.7MiB live, 514.3MiB allocated; 67ms collecting garbage

Counts

41 → 240

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
137.0ms	alpha	@	inf	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) (* (+ (* alpha alpha) -1) cosTheta) cosTheta 1 (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ 1/2 (* (log alpha) (PI))) 1/2 (* (log alpha) (PI)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (+ 1 alpha) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) 2 (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))))
43.0ms	alpha	@	-inf	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) (* (+ (* alpha alpha) -1) cosTheta) cosTheta 1 (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ 1/2 (* (log alpha) (PI))) 1/2 (* (log alpha) (PI)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (+ 1 alpha) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) 2 (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))))
34.0ms	alpha	@	0	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) (* (+ (* alpha alpha) -1) cosTheta) cosTheta 1 (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ 1/2 (* (log alpha) (PI))) 1/2 (* (log alpha) (PI)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (+ 1 alpha) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) 2 (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))))
14.0ms	cosTheta	@	0	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) (* (+ (* alpha alpha) -1) cosTheta) cosTheta 1 (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ 1/2 (* (log alpha) (PI))) 1/2 (* (log alpha) (PI)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (+ 1 alpha) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) 2 (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))))
11.0ms	cosTheta	@	-inf	((/ (+ (* alpha alpha) -1) (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1))) (+ (* alpha alpha) -1) alpha -1 (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (* (+ (PI) (PI)) (log alpha)) (+ (PI) (PI)) (PI) (log alpha) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) (* (+ (* alpha alpha) -1) cosTheta) cosTheta 1 (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ 1/2 (* (log alpha) (PI))) 1/2 (* (log alpha) (PI)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (- alpha 1) (* (/ (+ 1 alpha) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/ (+ 1 alpha) (PI)) (+ 1 alpha) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* (log alpha) 2) 2 (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* alpha alpha) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (- 1 (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/ (+ 1 alpha) (log (pow alpha (+ (PI) (PI))))) (log (pow alpha (+ (PI) (PI)))) (pow alpha (+ (PI) (PI))))

rewrite393.0ms (4.7%)

Memory

-10.3MiB live, 605.0MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1023	13979
0	1080	12233
1	3735	12212
0	8879	11997
0	16839	11683

Stop Event

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

Counts

281 → 738

Calls

Call 1

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

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

eval67.0ms (0.8%)

Memory: 0.5MiB live, 150.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 10 139 to 2 624 computations (74.1% saved)

prune58.0ms (0.7%)

Memory

23.5MiB live, 124.4MiB allocated; 14ms collecting garbage

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	569	18	587
Fresh	16	15	31
Picked	2	3	5
Done	0	2	2
Total	587	38	625

Accuracy

100.0%

Counts

625 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
✓	98.6%	(/.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))))
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 alpha cosTheta) (.f32 alpha cosTheta)))))
✓	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))))
	98.1%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	98.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	95.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))))
	48.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (PI.f32) (.f32 #s(approx (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (.f32 (/.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))) (*.f32 cosTheta cosTheta)))))
	98.1%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ ( (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
	95.2%	(/.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(approx (- 1 (* cosTheta cosTheta)) #s(literal 1 binary32)))))
	95.4%	(/.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))))))
	95.1%	(/.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))))
	47.3%	(/.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) #s(approx (+ (* (* (+ (* alpha alpha) -1) (log alpha)) 2) (* (log alpha) (/ 2 (* cosTheta cosTheta)))) (/.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (log (pow alpha ( (+ (PI) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	94.8%	(/.f32 (.f32 (fma.f32 #s(literal 1 binary32) (PI.f32) (.f32 (PI.f32) alpha)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	94.8%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
	94.7%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) (PI.f32))
	94.8%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32)))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))
	97.6%	(/.f32 #s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	97.9%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	94.8%	(.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	97.5%	(.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (+ (* (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	95.0%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha))))
✓	94.7%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	94.4%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))))
	97.7%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
✓	94.9%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	94.5%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	97.5%	(.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) #s(approx (+ ( (* (+ (* alpha alpha) -1) cosTheta) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	94.9%	(.f32 (+.f32 (/.f32 alpha (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	95.1%	(.f32 #s(approx (/ (+ 1 alpha) ( (+ (PI) (PI)) (log alpha))) (fma.f32 (/.f32 alpha (.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	47.4%	(.f32 #s(approx (/ (+ 1 alpha) ( (+ (PI) (PI)) (log alpha))) (/.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (PI.f32))) #s(approx (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	68.0%	(.f32 #s(approx (/ (+ 1 alpha) ( (+ (PI) (PI)) (log alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
✓	47.4%	(.f32 #s(approx (/ (+ 1 alpha) ( (+ (PI) (PI)) (log alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	65.8%	(.f32 #s(approx (/ (+ 1 alpha) ( (+ (PI) (PI)) (log alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(approx (- alpha 1) #s(literal -1 binary32))))
	94.8%	(.f32 #s(approx (/ (+ 1 alpha) (PI)) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal 1 binary32) (PI.f32))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	68.0%	#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)))))
	68.0%	#s(approx (* (/ (+ 1 alpha) (* (+ (PI) (PI)) (log alpha))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))

Compiler

Compiled 2 238 to 1 303 computations (41.8% saved)

regimes126.0ms (1.5%)

Memory

-19.6MiB live, 168.1MiB allocated; 13ms collecting garbage

Counts

93 → 1

Calls

Call 1

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

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:

38.0ms	cosTheta
31.0ms	(/.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))))
27.0ms	alpha
25.0ms	(*.f32 alpha 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)

regimes93.0ms (1.1%)

Memory

17.6MiB live, 205.1MiB allocated; 18ms collecting garbage

Counts

83 → 1

Calls

Call 1

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

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

Outputs

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

Calls

4 calls:

24.0ms	(/.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))))
22.0ms	alpha
22.0ms	(*.f32 alpha alpha)
22.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.7%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.7%	1	`(*.f32 alpha alpha)`
98.7%	1	`cosTheta`
98.7%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes81.0ms (1%)

Memory

-2.1MiB live, 188.3MiB allocated; 16ms collecting garbage

Counts

72 → 1

Calls

Call 1

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

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:

21.0ms	alpha
20.0ms	(*.f32 alpha alpha)
19.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
19.0ms	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	`cosTheta`
98.6%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes75.0ms (0.9%)

Memory

37.3MiB live, 162.6MiB allocated; 26ms collecting garbage

Counts

52 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

23.0ms	(/.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))))
22.0ms	(*.f32 alpha alpha)
16.0ms	alpha
13.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.1%	1	`cosTheta`
98.1%	1	`(*.f32 alpha alpha)`
98.1%	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))))`
98.1%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes109.0ms (1.3%)

Memory

-69.1MiB live, 60.8MiB allocated; 84ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

48.0ms	(*.f32 alpha alpha)
42.0ms	alpha
9.0ms	(/.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))))
9.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.1%	1	`(*.f32 alpha alpha)`
98.1%	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))))`
98.1%	1	`cosTheta`
98.1%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes30.0ms (0.4%)

Memory

41.3MiB live, 41.3MiB allocated; 0ms collecting garbage

Counts

28 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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	`cosTheta`
98.0%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes177.0ms (2.1%)

Memory

-25.7MiB live, 63.6MiB allocated; 7ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

10.0ms	cosTheta
7.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
7.0ms	alpha
7.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
95.2%	1	`cosTheta`
95.2%	1	`(*.f32 alpha alpha)`
95.2%	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))))`
95.2%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes27.0ms (0.3%)

Memory

-5.5MiB live, 43.9MiB allocated; 10ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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:

11.0ms	(/.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	cosTheta
5.0ms	alpha
5.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
95.2%	1	`cosTheta`
95.2%	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))))`
95.2%	1	`(*.f32 alpha alpha)`
95.2%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes12.0ms (0.1%)

Memory

28.9MiB live, 28.9MiB allocated; 0ms collecting garbage

Accuracy

Total -20.5b remaining (-187.2%)

Threshold costs -20.5b (-187.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

3.0ms	(/.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
65.8%	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))))`
65.8%	1	`cosTheta`
65.8%	1	`(*.f32 alpha alpha)`
65.8%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations855.0ms (10.2%)

Memory

-25.8MiB live, 588.3MiB allocated; 101ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 140 to 78 computations (44.3% saved)

preprocess71.0ms (0.9%)

Memory

10.3MiB live, 196.4MiB allocated; 24ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 914 to 783 computations (14.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze178.0ms (2.1%)

sample1.6s (19%)

preprocess63.0ms (0.7%)

series191.0ms (2.3%)

rewrite2.4s (29%)

eval45.0ms (0.5%)

prune28.0ms (0.3%)

series245.0ms (2.9%)

rewrite416.0ms (5%)

eval82.0ms (1%)

prune48.0ms (0.6%)

series141.0ms (1.7%)

rewrite373.0ms (4.5%)

eval61.0ms (0.7%)

prune31.0ms (0.4%)

series259.0ms (3.1%)

rewrite393.0ms (4.7%)

eval67.0ms (0.8%)

prune58.0ms (0.7%)

regimes126.0ms (1.5%)

regimes93.0ms (1.1%)

regimes81.0ms (1%)

regimes75.0ms (0.9%)

regimes109.0ms (1.3%)

regimes30.0ms (0.4%)

regimes177.0ms (2.1%)

regimes27.0ms (0.3%)

regimes12.0ms (0.1%)

derivations855.0ms (10.2%)

preprocess71.0ms (0.9%)

end0.0ms (0%)

Profiling