Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze37.0ms (0.7%)

Memory

16.4MiB live, 63.0MiB allocated; 3ms 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)

sample889.0ms (15.9%)

Memory

36.8MiB live, 1 584.9MiB allocated; 320ms collecting garbage

Samples

604.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

ival-mult!: 224.0ms (54.4% of total)

ival-log: 97.0ms (23.6% of total)

ival-div!: 42.0ms (10.2% of total)

ival-sub!: 27.0ms (6.6% of total)

ival-add!: 19.0ms (4.6% of total)

adjust: 2.0ms (0.5% of total)

ival-and: 1.0ms (0.2% of total)

ival-<=: 1.0ms (0.2% of total)

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

Bogosity

preprocess59.0ms (1.1%)

Memory

-20.9MiB live, 31.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	146
1	198	146
2	776	146
3	5896	146

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.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

▶

98.4%

(/.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)

series77.0ms (1.4%)

Memory

30.4MiB live, 168.8MiB allocated; 13ms 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
26.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
16.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
12.0ms	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)
6.0ms	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)

rewrite167.0ms (3%)

Memory

11.6MiB live, 292.5MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	2886
0	323	2685
1	1720	2664
0	8099	2594

Stop Event

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

Counts

74 → 156

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 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (neg.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32)))) (neg.f32 (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)))
(-.f32 (/.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha))
(pow.f32 (exp.f32 (log.f32 alpha)) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(fabs.f32 (*.f32 alpha alpha))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32)))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 #s(literal -2 binary32) (neg.f32 (log.f32 alpha)))
(*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))
(*.f32 (log.f32 alpha) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (log.f32 alpha))
(fma.f32 #s(literal 1 binary32) (log.f32 alpha) (log.f32 alpha))
(+.f32 (log.f32 (neg.f32 alpha)) (log.f32 (neg.f32 alpha)))
(+.f32 (log.f32 (fabs.f32 alpha)) (log.f32 (fabs.f32 alpha)))
(+.f32 (log.f32 alpha) (log.f32 alpha))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) cosTheta))
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))) (/.f32 (pow.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))))
(+.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 cosTheta (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))
cosTheta
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal -1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 (.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (.f32 cosTheta cosTheta)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (.f32 cosTheta cosTheta)) (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (.f32 cosTheta cosTheta) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta))
#s(approx cosTheta cosTheta)
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 (pow.f32 cosTheta #s(literal -6 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))))) (*.f32 cosTheta cosTheta)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (.f32 (.f32 (.f32 alpha cosTheta) (.f32 alpha cosTheta)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))) (.f32 alpha alpha)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha)) (.f32 alpha alpha)))))
#s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 cosTheta (+.f32 #s(literal -1 binary32) (.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (+.f32 (neg.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))))))))
#s(approx (- (* alpha alpha) 1) (*.f32 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) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal -2 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 (.f32 (neg.f32 (log.f32 alpha)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 alpha cosTheta) (*.f32 alpha cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.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 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (+.f32 (neg.f32 (/.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))) (.f32 (PI.f32) (/.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) #s(literal -2 binary32)))
#s(approx (log (* alpha alpha)) (*.f32 (neg.f32 (log.f32 (neg.f32 alpha))) #s(literal -2 binary32)))

eval16.0ms (0.3%)

Memory: -6.1MiB live, 40.0MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 970 to 852 computations (71.3% saved)

prune18.0ms (0.3%)

Memory

-3.7MiB live, 43.3MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	124	21	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	21	146

Accuracy

99.9%

Counts

146 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.1%	(/.f32 (/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) cosTheta) cosTheta))))
	97.9%	(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	51.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	94.8%	(/.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))))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	49.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))))
	97.0%	(/.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)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	94.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
▶	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 (.f32 (neg.f32 (log.f32 alpha)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 alpha alpha))))) (*.f32 alpha alpha))))
	98.0%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta))))
	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
▶	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
	67.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))

Compiler

Compiled 1 032 to 812 computations (21.3% saved)

series265.0ms (4.7%)

Memory

-2.3MiB live, 523.0MiB allocated; 81ms collecting garbage

Counts

43 → 265

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
68.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))
46.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))
44.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))
42.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))
28.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (PI) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))

rewrite1.5s (26.6%)

Memory

6.6MiB live, 394.4MiB allocated; 2.4s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1072	14444
0	1151	13264
1	6297	13261
0	8432	12882

Stop Event

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

Counts

308 → 545

Calls

Call 1

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

Outputs
(.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (+.f32 #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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (+.f32 #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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))) (PI.f32))
(/.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 (pow.f32 alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 1 binary32)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
#s(literal 1 binary32)
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (PI.f32))
(.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(+.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))
(.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32)))
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32)))
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (log.f32 alpha) (PI.f32)))
(+.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))) (log.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(+.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (log.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (pow.f32 alpha #s(literal 1 binary32)) (PI.f32)) (pow.f32 (pow.f32 alpha #s(literal 1 binary32)) (PI.f32)))
(*.f32 (pow.f32 (neg.f32 alpha) (PI.f32)) (pow.f32 (neg.f32 alpha) (PI.f32)))
(*.f32 (pow.f32 (fabs.f32 alpha) (PI.f32)) (pow.f32 (fabs.f32 alpha) (PI.f32)))
(.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))
(pow.f32 (pow.f32 (*.f32 alpha alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(pow.f32 (pow.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 alpha)) (PI.f32))
(pow.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (PI.f32)) (log.f32 alpha))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(pow.f32 alpha (*.f32 #s(literal 2 binary32) (PI.f32)))
(+.f32 (cosh.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (.f32 (log.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))))
(exp.f32 (.f32 (log.f32 (exp.f32 #s(literal 2 binary32))) (.f32 (log.f32 alpha) (PI.f32))))
(exp.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
(PI.f32)
(/.f32 (-.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) #s(literal 1 binary32)) (-.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) cosTheta))
(-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) #s(literal 1 binary32))
(+.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))
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#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 cosTheta cosTheta))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (.f32 (log.f32 alpha) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32))))) #s(literal -1/2 binary32) (.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))))) (*.f32 cosTheta cosTheta)))
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#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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 alpha) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.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) (-.f32 (.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 (log.f32 alpha) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (.f32 cosTheta cosTheta)))
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#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (.f32 (fma.f32 (neg.f32 (log.f32 alpha)) (PI.f32) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 alpha alpha))) (*.f32 cosTheta cosTheta))))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (fma.f32 (neg.f32 (log.f32 alpha)) (PI.f32) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 alpha alpha))) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta)))
#s(approx (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta cosTheta)) (fma.f32 (neg.f32 (log.f32 alpha)) (PI.f32) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 alpha alpha)))))
#s(approx (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (.f32 (fma.f32 (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha))) #s(literal 2 binary32) (.f32 (fma.f32 (neg.f32 (log.f32 alpha)) (PI.f32) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 alpha alpha))) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))
#s(approx (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (.f32 (fma.f32 (neg.f32 (log.f32 alpha)) (PI.f32) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)))
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#s(approx (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 alpha alpha))))
#s(approx (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (.f32 (fma.f32 (PI.f32) (/.f32 (log.f32 alpha) (.f32 alpha alpha)) (/.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (.f32 (.f32 cosTheta cosTheta) (/.f32 (log.f32 alpha) (*.f32 alpha alpha))))
#s(approx (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (.f32 (+.f32 (/.f32 (neg.f32 (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha))) (/.f32 (log.f32 alpha) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)))
#s(approx (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (.f32 (log.f32 alpha) (.f32 cosTheta cosTheta)))
#s(approx (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (.f32 (+.f32 (neg.f32 (/.f32 (log.f32 alpha) (.f32 cosTheta cosTheta))) (log.f32 alpha)) (*.f32 cosTheta cosTheta)))
#s(approx (+ (neg (* cosTheta cosTheta)) 1) (*.f32 (neg.f32 cosTheta) cosTheta))
#s(approx (+ (neg (* cosTheta cosTheta)) 1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
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#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (log (pow (* alpha alpha) (PI))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
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#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
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#s(approx (neg (log alpha)) (neg.f32 (log.f32 alpha)))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))) (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))) (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))))) (fma.f32 (neg.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) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32)))))
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#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (log.f32 alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha)) (log.f32 alpha)))))
#s(approx (* (log alpha) 2) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))) (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))) #s(literal 1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))) (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))))) (fma.f32 (neg.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) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32)))))
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#s(approx (/ (+ alpha 1) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (/ (+ alpha 1) (PI)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)))
#s(approx (+ alpha 1) #s(literal 1 binary32))
#s(approx (+ alpha 1) (+.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 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
#s(approx (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) alpha) (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#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 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 alpha))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
#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 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 alpha))) #s(literal 1/2 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta cosTheta) alpha)) (.f32 (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (log.f32 alpha)))) alpha (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))) alpha) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (neg.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 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))
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#s(approx (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (.f32 (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (*.f32 alpha alpha)) #s(literal 2 binary32)))
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#s(approx (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (neg.f32 (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))))
#s(approx (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))) (*.f32 alpha alpha)))
#s(approx (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
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#s(approx (/ (+ alpha 1) (PI)) (/.f32 alpha (PI.f32)))
#s(approx (/ (+ alpha 1) (PI)) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal 1 binary32) (PI.f32))) alpha))
#s(approx (+ alpha 1) alpha)
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#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 (*.f32 (neg.f32 cosTheta) cosTheta) (log.f32 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 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (fma.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta) (.f32 (/.f32 (neg.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (.f32 alpha alpha)) (PI.f32))) #s(literal -2 binary32)) (.f32 alpha alpha)))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (log.f32 alpha) (PI.f32)) (/.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 (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta cosTheta)) (neg.f32 (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (log.f32 alpha) (PI.f32)) (/.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (*.f32 alpha alpha)))))
#s(approx (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (log.f32 alpha) (PI.f32))))
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#s(approx (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (/.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)))
#s(approx (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))) (*.f32 alpha alpha)))
#s(approx (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
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#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
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#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta) (/.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (log (pow (* alpha alpha) (PI))) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) #s(literal -2 binary32)))
#s(approx (pow (* alpha alpha) (PI)) (exp.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) #s(literal -2 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
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#s(approx (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta))))
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#s(approx (neg (log alpha)) (neg.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))
#s(approx (log alpha) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta))))
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#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))))
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#s(approx (* (log alpha) 2) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (/.f32 (.f32 (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (*.f32 cosTheta cosTheta)) 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 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta)) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (*.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 (.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) alpha) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (*.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 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) alpha) #s(literal 1/2 binary32) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) #s(literal -1/2 binary32))) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.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 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta) (/.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta) (.f32 (PI.f32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))) (*.f32 alpha alpha)))
#s(approx (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (.f32 (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))
#s(approx (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta) (.f32 (PI.f32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))))
#s(approx (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (neg.f32 (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)))) (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (neg.f32 (.f32 (PI.f32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))))
#s(approx (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))) (neg.f32 (.f32 (PI.f32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))))))
#s(approx (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha)) (neg.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
#s(approx (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (neg.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))

eval95.0ms (1.7%)

Memory: -7.7MiB live, 128.0MiB allocated; 68ms collecting garbage
Compiler: Compiled 10 609 to 2 853 computations (73.1% saved)

prune40.0ms (0.7%)

Memory

38.4MiB live, 82.1MiB allocated; 12ms collecting garbage

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	511	31	542
Fresh	10	6	16
Picked	4	1	5
Done	0	0	0
Total	525	38	563

Accuracy

100.0%

Counts

563 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
▶	98.6%	(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	51.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
	94.8%	(/.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))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
✓	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))))
	94.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 #s(approx ( (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)))) (.f32 alpha alpha))))) (.f32 alpha alpha))))
	94.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 #s(approx ( (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))) (.f32 alpha alpha))))
	94.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(approx ( -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 alpha alpha))) (.f32 alpha alpha))))
▶	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
	49.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))))
	98.0%	(/.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.3%	(/.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))) (PI.f32))
	98.0%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) #s(approx (- ( alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha))) #s(literal 1 binary32)))))
	67.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
	98.0%	(.f32 (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -3 binary32)) (pow.f32 (/.f32 alpha (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 alpha (PI.f32)))))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (.f32 alpha #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	96.8%	(.f32 (/.f32 (+.f32 alpha #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 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))))
	94.5%	(.f32 (/.f32 (+.f32 alpha #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)))))
	96.6%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) #s(approx (/ (- alpha 1) ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) alpha) (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))))
	98.1%	(.f32 (/.f32 #s(approx (+ alpha 1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.3%	(.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	98.0%	(.f32 #s(approx (/ (+ alpha 1) (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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
▶	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (log.f32 alpha) (PI.f32)))))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
	67.4%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))

Compiler

Compiled 1 878 to 1 646 computations (12.4% saved)

series270.0ms (4.8%)

Memory

-7.3MiB live, 347.0MiB allocated; 197ms collecting garbage

Counts

49 → 270

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
72.0ms	alpha	@	inf	((/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (- (pow (/ 1 alpha) -2) 1) (pow (/ 1 alpha) -2) (/ 1 alpha) 1 alpha -2 (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta))) (log (pow (pow (/ 1 alpha) -2) (PI))) (pow (pow (/ 1 alpha) -2) (PI)) (PI) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)) (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta) (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (log alpha) (/ (- (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) 2) (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta)) 2 (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (- alpha 1) (* (* (log alpha) (PI)) 2) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (* (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) alpha) (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) (/ 1 (* (PI) alpha)) (* (PI) alpha) (/ 1 (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2))
45.0ms	alpha	@	0	((/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (- (pow (/ 1 alpha) -2) 1) (pow (/ 1 alpha) -2) (/ 1 alpha) 1 alpha -2 (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta))) (log (pow (pow (/ 1 alpha) -2) (PI))) (pow (pow (/ 1 alpha) -2) (PI)) (PI) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)) (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta) (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (log alpha) (/ (- (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) 2) (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta)) 2 (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (- alpha 1) (* (* (log alpha) (PI)) 2) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (* (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) alpha) (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) (/ 1 (* (PI) alpha)) (* (PI) alpha) (/ 1 (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2))
43.0ms	cosTheta	@	inf	((/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (- (pow (/ 1 alpha) -2) 1) (pow (/ 1 alpha) -2) (/ 1 alpha) 1 alpha -2 (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta))) (log (pow (pow (/ 1 alpha) -2) (PI))) (pow (pow (/ 1 alpha) -2) (PI)) (PI) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)) (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta) (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (log alpha) (/ (- (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) 2) (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta)) 2 (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (- alpha 1) (* (* (log alpha) (PI)) 2) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (* (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) alpha) (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) (/ 1 (* (PI) alpha)) (* (PI) alpha) (/ 1 (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2))
40.0ms	alpha	@	-inf	((/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (- (pow (/ 1 alpha) -2) 1) (pow (/ 1 alpha) -2) (/ 1 alpha) 1 alpha -2 (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta))) (log (pow (pow (/ 1 alpha) -2) (PI))) (pow (pow (/ 1 alpha) -2) (PI)) (PI) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)) (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta) (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (log alpha) (/ (- (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) 2) (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta)) 2 (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (- alpha 1) (* (* (log alpha) (PI)) 2) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (* (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) alpha) (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) (/ 1 (* (PI) alpha)) (* (PI) alpha) (/ 1 (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2))
25.0ms	cosTheta	@	-inf	((/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (- (pow (/ 1 alpha) -2) 1) (pow (/ 1 alpha) -2) (/ 1 alpha) 1 alpha -2 (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta))) (log (pow (pow (/ 1 alpha) -2) (PI))) (pow (pow (/ 1 alpha) -2) (PI)) (PI) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)) (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta) (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (log alpha) (/ (- (* 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))) (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (* (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) 2) (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta)) 2 (* (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- alpha 1) (* (* (log alpha) (PI)) 2))) (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (- alpha 1) (* (* (log alpha) (PI)) 2) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (* (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) alpha) (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) (/ 1 (* (PI) alpha)) (* (PI) alpha) (/ 1 (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2))

rewrite304.0ms (5.4%)

Memory

46.8MiB live, 274.4MiB allocated; 154ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1131	14777
0	1214	13211
1	6625	13208
0	8084	12939

Stop Event

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

Counts

319 → 509

Calls

Call 1

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

Outputs
(/.f32 (/.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))) (fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(/.f32 (neg.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)))) (neg.f32 (.f32 (fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))))
(/.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 (fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(-.f32 (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (.f32 (fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))))
(expm1.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)))
(/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))) #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)))
(/.f32 (expm1.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)) #s(literal 3 binary32))) (fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)))))
(-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (exp.f32 (neg.f32 (neg.f32 (log.f32 alpha)))) (exp.f32 (neg.f32 (neg.f32 (log.f32 alpha)))))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32))
(+.f32 (cosh.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (sinh.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))))
(exp.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 alpha))
(/.f32 #s(literal 1 binary32) alpha)
(pow.f32 alpha #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal -1 binary32)))
#s(literal 1 binary32)
alpha
#s(literal -2 binary32)
(log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (.f32 #s(literal -2 binary32) (PI.f32))) (fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
(.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32) (.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta))))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta)) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))) (.f32 (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta)) (.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
(+.f32 (.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta))))
(log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))
(log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (PI.f32))))
(.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))
(.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) #s(literal -2 binary32))
(.f32 (PI.f32) (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)))
(.f32 #s(literal -2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))
(+.f32 (log.f32 (exp.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (log.f32 (exp.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(.f32 (exp.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (exp.f32 (.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) alpha) (*.f32 #s(literal -2 binary32) (PI.f32)))
(pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (PI.f32))
(+.f32 (cosh.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)) (PI.f32))) (sinh.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)) (PI.f32))))
(exp.f32 (.f32 (neg.f32 (log.f32 alpha)) (.f32 #s(literal -2 binary32) (PI.f32))))
(exp.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32)) (PI.f32)))
(PI.f32)
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta)) (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta)) (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta))) (.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta))))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (expm1.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) cosTheta)) cosTheta))
(fma.f32 (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) cosTheta) cosTheta #s(literal 1 binary32))
(fma.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (.f32 cosTheta cosTheta) #s(literal 1 binary32))
(fma.f32 cosTheta (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) cosTheta) #s(literal 1 binary32))
(+.f32 (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta)))
(.f32 (.f32 (expm1.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) cosTheta) cosTheta)
(.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) (*.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 (expm1.f32 (*.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) cosTheta))
(.f32 (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))) cosTheta)
(.f32 cosTheta (expm1.f32 (.f32 (neg.f32 (log.f32 alpha)) #s(literal -2 binary32))))
cosTheta
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha))
(/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))
(/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (log.f32 alpha) (PI.f32))))
(/.f32 #s(literal 1/2 binary32) (neg.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (log.f32 alpha) (PI.f32)))))
(/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta)))
#s(literal 1/2 binary32)
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (*.f32 cosTheta cosTheta)))
(log.f32 (pow.f32 alpha (.f32 (.f32 cosTheta cosTheta) (PI.f32))))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))
(.f32 (.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 (log.f32 alpha) (.f32 (*.f32 cosTheta cosTheta) (PI.f32)))
(.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 cosTheta cosTheta)))
(.f32 (.f32 cosTheta cosTheta) (PI.f32))
(.f32 (PI.f32) (.f32 cosTheta cosTheta))
(.f32 cosTheta (.f32 cosTheta (PI.f32)))
(*.f32 (pow.f32 cosTheta #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 1 binary32)))
(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
(*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))
(*.f32 cosTheta cosTheta)
(pow.f32 cosTheta #s(literal 2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 cosTheta) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 cosTheta) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32)))
(log.f32 alpha)
(/.f32 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))))))
(-.f32 (/.f32 (.f32 alpha alpha) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
(/.f32 (expm1.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 (pow.f32 alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 1 binary32)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(pow.f32 alpha #s(literal 2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) #s(literal 2 binary32))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
(fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
(fma.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
(fma.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)) (PI.f32))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32)))
(.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
(.f32 (log.f32 alpha) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
(.f32 (PI.f32) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 alpha)))
(log.f32 (pow.f32 alpha (PI.f32)))
(*.f32 (log.f32 alpha) (PI.f32))
(*.f32 (PI.f32) (log.f32 alpha))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) cosTheta))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 cosTheta) cosTheta)))
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#s(approx (- (pow (/ 1 alpha) -2) 1) #s(literal -1 binary32))
#s(approx (- (pow (/ 1 alpha) -2) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (pow (/ 1 alpha) -2) (*.f32 alpha alpha))
#s(approx (/ 1 alpha) (/.f32 #s(literal 1 binary32) alpha))
#s(approx alpha alpha)
#s(approx (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))))
#s(approx (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))
#s(approx (log (pow (pow (/ 1 alpha) -2) (PI))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (pow (pow (/ 1 alpha) -2) (PI)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
#s(approx (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
#s(approx (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (* (- (pow (/ 1 alpha) -2) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (pow (/ 1 alpha) -2) 1) cosTheta) (.f32 cosTheta (+.f32 #s(literal -1 binary32) (.f32 alpha alpha))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- 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)) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (-.f32 (.f32 (+.f32 (neg.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* 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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.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 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.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 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))) (/.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))))
#s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))
#s(approx (* (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) 2) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32))))
#s(approx (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (* (log alpha) (PI)) (*.f32 (log.f32 alpha) (PI.f32)))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- 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)) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* 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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- 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 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.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)) (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 #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)) (fma.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 (.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 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (-.f32 (.f32 (/.f32 alpha (.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (- alpha 1) #s(literal -1 binary32))
#s(approx (- alpha 1) (-.f32 alpha #s(literal 1 binary32)))
#s(approx (* (* (log alpha) (PI)) 2) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- 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)) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* 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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- 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 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (/.f32 (.f32 (neg.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (/ (+ alpha 1) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (/ (+ alpha 1) (PI)) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)))
#s(approx (* (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) alpha) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (* (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) alpha) (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)))
#s(approx (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) alpha)))
#s(approx (+ (/ 1 (* (PI) alpha)) (/ 1 (PI))) (/.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) alpha))
#s(approx (/ 1 (* (PI) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) alpha)))
#s(approx (* (PI) alpha) (*.f32 (PI.f32) 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 (/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
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#s(approx (log alpha) (neg.f32 (neg.f32 (log.f32 alpha))))
#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
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#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (log.f32 alpha) (PI.f32))) (.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (fma.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (log.f32 alpha) (PI.f32)) (/.f32 (.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))) (PI.f32)) (.f32 alpha alpha))) #s(literal -2 binary32)) (*.f32 alpha alpha)))
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#s(approx (* (* (* (log alpha) (PI)) (- 1 (* cosTheta cosTheta))) 2) (.f32 (.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))) (PI.f32)) #s(literal -2 binary32)))
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#s(approx (* (log alpha) (PI)) (neg.f32 (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))
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#s(approx (+ alpha 1) alpha)
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#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (.f32 (/.f32 alpha (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) #s(literal -1/2 binary32)))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) alpha))
#s(approx (- alpha 1) alpha)
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#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta)))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (/.f32 (.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 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) alpha)))) alpha)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) alpha)))
#s(approx (/ (+ alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) alpha)) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) alpha)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) alpha)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) alpha)))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (.f32 (/.f32 alpha (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32))) #s(literal 1/2 binary32)))
#s(approx (/ (- alpha 1) (* (* (log alpha) (PI)) 2)) (neg.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)))) alpha)))
#s(approx (- alpha 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)))
#s(approx (* (* (log alpha) (PI)) 2) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) #s(literal 2 binary32)))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta)))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (/.f32 (.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 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))))))) (.f32 alpha alpha)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32)))))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (*.f32 cosTheta cosTheta)) 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 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta)) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (*.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 (.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) alpha) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (*.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 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) alpha) #s(literal 1/2 binary32) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) #s(literal -1/2 binary32))) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))) alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (*.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 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (*.f32 cosTheta cosTheta))))
#s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (.f32 cosTheta cosTheta) (/.f32 (.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))) (log.f32 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (log alpha) 2) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 (log.f32 (neg.f32 alpha)))))))

eval91.0ms (1.6%)

Memory: -19.2MiB live, 120.0MiB allocated; 71ms collecting garbage
Compiler: Compiled 10 563 to 2 580 computations (75.6% saved)

prune64.0ms (1.1%)

Memory

-2.0MiB live, 91.7MiB allocated; 39ms collecting garbage

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	526	21	547
Fresh	18	14	32
Picked	2	3	5
Done	0	1	1
Total	546	39	585

Accuracy

100.0%

Counts

585 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
▶	94.8%	(/.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))))
▶	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
✓	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	94.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 #s(approx ( (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))) (.f32 alpha alpha))))
	94.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(approx ( -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 alpha alpha))) (.f32 alpha alpha))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (PI.f32)) #s(literal 2 binary32)))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))))
✓	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
	50.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(approx (- 1 ( cosTheta cosTheta)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32)))))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
	96.9%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
	98.3%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) (PI.f32))
	96.7%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
▶	67.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
	98.1%	(.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
✓	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	94.5%	(.f32 (/.f32 (+.f32 alpha #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)))))
	96.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.1%	(.f32 (/.f32 #s(approx (+ alpha 1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.1%	(.f32 (+.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.3%	(.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.5%	(.f32 #s(approx (/ (+ alpha 1) (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	97.9%	(.f32 #s(approx (/ (+ alpha 1) (PI)) (.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) alpha) (.f32 (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) alpha))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.4%	(.f32 #s(approx (/ (+ alpha 1) (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)))))
	97.1%	(.f32 #s(approx (/ (+ alpha 1) (PI)) (.f32 (+.f32 (exp.f32 (.f32 (log.f32 (.f32 (PI.f32) alpha)) #s(literal -1 binary32))) (/.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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	1.9%	#s(approx (/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
	67.4%	#s(approx (/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32)))))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
✓	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
▶	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
	67.4%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))

Compiler

Compiled 2 067 to 1 820 computations (11.9% saved)

series226.0ms (4%)

Memory

41.2MiB live, 299.2MiB allocated; 129ms collecting garbage

Counts

34 → 184

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
79.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha))) 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha)) (* cosTheta (* cosTheta (PI))) (* cosTheta (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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
48.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha))) 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha)) (* cosTheta (* cosTheta (PI))) (* cosTheta (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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
33.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha))) 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha)) (* cosTheta (* cosTheta (PI))) (* cosTheta (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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
23.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha))) 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha)) (* cosTheta (* cosTheta (PI))) (* cosTheta (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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
23.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1)) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) 1) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha))) 1/2 (* (* cosTheta (* cosTheta (PI))) (log alpha)) (* cosTheta (* cosTheta (PI))) (* cosTheta (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))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (log (pow (* alpha alpha) (PI))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))

rewrite332.0ms (5.9%)

Memory

20.2MiB live, 247.4MiB allocated; 257ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	521	10656
0	570	9787
1	2617	9730
0	8300	9621

Stop Event

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

Counts

218 → 392

Calls

Call 1

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

eval65.0ms (1.2%)

Memory: -18.0MiB live, 78.1MiB allocated; 54ms collecting garbage
Compiler: Compiled 5 172 to 1 437 computations (72.2% saved)

prune61.0ms (1.1%)

Memory

18.1MiB live, 107.6MiB allocated; 27ms collecting garbage

Pruning

46 alts after pruning (38 fresh and 8 done)

	Pruned	Kept	Total
New	357	12	369
Fresh	4	26	30
Picked	1	4	5
Done	0	4	4
Total	362	46	408

Accuracy

100.0%

Counts

408 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.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)) #s(literal 1 binary32))))
	97.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	67.4%	(/.f32 (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 #s(approx (- ( alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
	94.4%	(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #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))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	97.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
✓	94.8%	(/.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))))
✓	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
	95.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
✓	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	94.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 #s(approx ( (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))) (.f32 alpha alpha))))
	94.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(approx ( -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 alpha alpha))) (.f32 alpha alpha))))
	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (PI.f32)) #s(literal 2 binary32)))))
✓	97.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
	50.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(approx (- 1 ( cosTheta cosTheta)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32)))))
	98.0%	(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
	98.3%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) (PI.f32))
	94.5%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	94.7%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
	94.5%	(/.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)) #s(literal 1 binary32))))
	67.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	67.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta))))))
	98.1%	(.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
✓	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	94.5%	(.f32 (/.f32 (+.f32 alpha #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)))))
	96.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.1%	(.f32 (+.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.3%	(.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.5%	(.f32 #s(approx (/ (+ alpha 1) (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	97.9%	(.f32 #s(approx (/ (+ alpha 1) (PI)) (.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) alpha) (.f32 (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) alpha))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.4%	(.f32 #s(approx (/ (+ alpha 1) (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)))))
	97.1%	(.f32 #s(approx (/ (+ alpha 1) (PI)) (.f32 (+.f32 (exp.f32 (.f32 (log.f32 (.f32 (PI.f32) alpha)) #s(literal -1 binary32))) (/.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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	1.9%	#s(approx (/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
	67.4%	#s(approx (/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32)))))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
✓	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
✓	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta (.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
	67.4%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))

Compiler

Compiled 2 296 to 1 468 computations (36.1% saved)

regimes140.0ms (2.5%)

Memory

25.7MiB live, 201.0MiB allocated; 72ms collecting garbage

Counts

86 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta (.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 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 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (/ (- (pow (/ 1 alpha) -2) 1) (* (log (pow (pow (/ 1 alpha) -2) (PI))) (+ 1 (* (* (- (pow (/ 1 alpha) -2) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(.f32 #s(approx (/ (+ alpha 1) (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (+.f32 alpha #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 alpha 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 #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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 #s(approx (- ( alpha alpha) 1) #s(literal -1 binary32)) 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))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (PI.f32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) #s(approx (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) #s(literal 2 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) 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 #s(approx ( -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 alpha alpha))) (.f32 alpha alpha))))
(.f32 #s(approx (/ (+ alpha 1) (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)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) #s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.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)) #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))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(approx (- 1 ( cosTheta cosTheta)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 (+.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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (+.f32 #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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))) (PI.f32))
(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))) (PI.f32))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* -2 (+ (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (PI) (/ (* (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (* alpha alpha))))) (* alpha alpha)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #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 (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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(approx (+ alpha 1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(approx (+ alpha 1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
(.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(.f32 #s(approx (/ (+ alpha 1) (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) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) #s(approx (/ (- alpha 1) ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) alpha) (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 (neg.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 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 #s(approx ( (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))) (.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (PI.f32) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) #s(approx (- ( alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha))) #s(literal 1 binary32)))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha))) cosTheta) cosTheta))))
(.f32 (+.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
(.f32 #s(approx (/ (+ alpha 1) (PI)) (.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (PI.f32) alpha) (.f32 (PI.f32) #s(literal 1 binary32))) (.f32 (PI.f32) (.f32 (PI.f32) alpha))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 #s(approx ( (neg (log alpha)) (+ (neg (* cosTheta cosTheta)) 1)) (.f32 (log.f32 alpha) (+.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)))) (.f32 alpha alpha))))) (.f32 alpha alpha))))
(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (.f32 alpha #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 (.f32 (neg.f32 (log.f32 alpha)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 alpha alpha))))) (*.f32 alpha alpha))))
(.f32 #s(approx (/ (+ alpha 1) (PI)) (.f32 (+.f32 (exp.f32 (.f32 (log.f32 (.f32 (PI.f32) alpha)) #s(literal -1 binary32))) (/.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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32))) cosTheta) cosTheta))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))) cosTheta) cosTheta))))
(.f32 (/.f32 (+.f32 (pow.f32 (PI.f32) #s(literal -3 binary32)) (pow.f32 (/.f32 alpha (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 alpha (PI.f32)))))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))

Outputs

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

Calls

4 calls:

47.0ms	alpha
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))))
31.0ms	cosTheta
27.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes110.0ms (2%)

Memory

5.2MiB live, 141.0MiB allocated; 59ms collecting garbage

Counts

65 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

45.0ms	alpha
23.0ms	cosTheta
22.0ms	(*.f32 alpha alpha)
16.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
98.4%	1	`(*.f32 alpha alpha)`
98.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.4%	1	`cosTheta`
98.4%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes126.0ms (2.3%)

Memory

-4.8MiB live, 84.1MiB allocated; 106ms collecting garbage

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

89.0ms	(/.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
9.0ms	alpha
9.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
98.3%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.3%	1	`(*.f32 alpha alpha)`
98.3%	1	`cosTheta`
98.3%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes53.0ms (1%)

Memory

-10.6MiB live, 82.9MiB allocated; 21ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

Calls

4 calls:

16.0ms	cosTheta
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	alpha
9.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
97.1%	1	`(*.f32 alpha alpha)`
97.1%	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))))`
97.1%	1	`cosTheta`
97.1%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes38.0ms (0.7%)

Memory

22.0MiB live, 65.9MiB allocated; 12ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

15.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
7.0ms	(*.f32 alpha alpha)
7.0ms	alpha
7.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.0%	1	`(*.f32 alpha alpha)`
97.0%	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))))`
97.0%	1	`alpha`
97.0%	1	`cosTheta`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes47.0ms (0.8%)

Memory

13.1MiB live, 57.0MiB allocated; 24ms collecting garbage

Counts

24 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

26.0ms	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	(*.f32 alpha alpha)
7.0ms	alpha

Results

Accuracy	Segments	Branch
97.0%	1	`(*.f32 alpha alpha)`
97.0%	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))))`
97.0%	1	`cosTheta`
97.0%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes30.0ms (0.5%)

Memory

6.3MiB live, 49.4MiB allocated; 9ms collecting garbage

Counts

22 → 1

Calls

Call 1

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

Calls

4 calls:

11.0ms	alpha
6.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
6.0ms	cosTheta
6.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
94.8%	1	`(*.f32 alpha alpha)`
94.8%	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))))`
94.8%	1	`alpha`
94.8%	1	`cosTheta`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes29.0ms (0.5%)

Memory

11.8MiB live, 55.6MiB allocated; 11ms collecting garbage

Counts

17 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

13.0ms	(*.f32 alpha alpha)
5.0ms	cosTheta
5.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms	alpha

Results

Accuracy	Segments	Branch
94.8%	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))))`
94.8%	1	`cosTheta`
94.8%	1	`(*.f32 alpha alpha)`
94.8%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes18.0ms (0.3%)

Memory

-1.8MiB live, 40.9MiB allocated; 5ms collecting garbage

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

6.0ms	cosTheta
4.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
3.0ms	alpha
3.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
1.9%	1	`(*.f32 alpha alpha)`
1.9%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
1.9%	1	`cosTheta`
1.9%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes4.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

1.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.0ms	(*.f32 alpha alpha)
1.0ms	alpha
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
1.9%	1	`(*.f32 alpha alpha)`
1.9%	1	`cosTheta`
1.9%	1	`alpha`
1.9%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`

Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations335.0ms (6%)

Memory

0.5MiB live, 298.4MiB allocated; 127ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 148 to 86 computations (41.9% saved)

preprocess109.0ms (1.9%)

Memory

9.1MiB live, 177.9MiB allocated; 79ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 174 to 967 computations (17.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze37.0ms (0.7%)

sample889.0ms (15.9%)

preprocess59.0ms (1.1%)

series77.0ms (1.4%)

rewrite167.0ms (3%)

eval16.0ms (0.3%)

prune18.0ms (0.3%)

series265.0ms (4.7%)

rewrite1.5s (26.6%)

eval95.0ms (1.7%)

prune40.0ms (0.7%)

series270.0ms (4.8%)

rewrite304.0ms (5.4%)

eval91.0ms (1.6%)

prune64.0ms (1.1%)

series226.0ms (4%)

rewrite332.0ms (5.9%)

eval65.0ms (1.2%)

prune61.0ms (1.1%)

regimes140.0ms (2.5%)

regimes110.0ms (2%)

regimes126.0ms (2.3%)

regimes53.0ms (1%)

regimes38.0ms (0.7%)

regimes47.0ms (0.8%)

regimes30.0ms (0.5%)

regimes29.0ms (0.5%)

regimes18.0ms (0.3%)

regimes4.0ms (0.1%)

derivations335.0ms (6%)

preprocess109.0ms (1.9%)

end0.0ms (0%)

Profiling