Metrics for GTR1 distribution

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze38.0ms (0.9%)

Memory

20.5MiB live, 67.8MiB allocated; 1ms 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)

sample845.0ms (19.3%)

Memory

0.9MiB live, 1 372.4MiB allocated; 162ms collecting garbage

Samples

598.0ms	8 252×	0	valid
1.0ms	4×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 373.0ms

ival-mult!: 196.0ms (52.6% of total)

ival-log: 91.0ms (24.4% of total)

ival-div!: 38.0ms (10.2% of total)

ival-sub!: 25.0ms (6.7% of total)

ival-add!: 19.0ms (5.1% of total)

adjust: 2.0ms (0.5% of total)

ival-and: 1.0ms (0.3% of total)

ival-<=: 1.0ms (0.3% of total)

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

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

Bogosity

preprocess31.0ms (0.7%)

Memory

-17.6MiB live, 28.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	146
1	178	144
2	721	144
3	4657	144

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Status

Accuracy

Program

▶

98.6%

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

Symmetry

(abs cosTheta)

(abs alpha)

Compiler

Compiled 36 to 26 computations (27.8% saved)

series82.0ms (1.9%)

Memory

9.8MiB live, 149.3MiB allocated; 20ms collecting garbage

Counts

13 → 61

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
25.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
18.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
16.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
10.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
4.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)

rewrite224.0ms (5.1%)

Memory

18.4MiB live, 246.6MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	2886
0	323	2685
1	1825	2664
0	8060	2491

Stop Event

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

Counts

74 → 161

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

eval19.0ms (0.4%)

Memory: 11.6MiB live, 57.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 039 to 995 computations (67.3% saved)

prune19.0ms (0.4%)

Memory

4.8MiB live, 52.0MiB allocated; 1ms collecting garbage

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	197	25	222
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	25	223

Accuracy

99.8%

Counts

223 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	98.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
▶	98.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.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) (fma.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) (fma.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) (fma.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 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
▶	49.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
▶	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))))
	48.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.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))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	68.6%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	95.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
▶	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
	68.6%	#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 1 138 to 942 computations (17.2% saved)

series233.0ms (5.3%)

Memory

0.1MiB live, 431.8MiB allocated; 69ms collecting garbage

Counts

41 → 175

Calls

Call 1

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

Outputs
#s(approx (/ (- (* alpha alpha) 1) (log (pow (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 (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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (* (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2)))) (- (pow alpha 2) 1))) (+ (* -1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (pow (- (pow alpha 2) 1) 2)) (pow (log (pow (pow alpha 2) (PI))) 2))) (* 1/720 (/ (* (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 2))))))) (+ (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))) (* 1/24 (/ (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1)) (pow (log (pow (pow alpha 2) (PI))) 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 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (log (pow (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 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))))
#s(approx (log (pow (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)) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))))) (* 1/24 (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))))))))))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (pow (pow alpha 2) (PI))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (log (pow (pow alpha 2) (PI))) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))) (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (log (pow (pow alpha 2) (PI))) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI)))))) (* 1/2 (* (pow (log (pow (pow alpha 2) (PI))) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))))) (pow (pow alpha 2) (PI)))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 1))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
#s(approx (/ -1/2 (* (* (* 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 (* (* (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 (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 1))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (/ (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) (pow cosTheta 2))))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) #s(hole binary32 (/ (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))
#s(approx (/ 1 (* cosTheta cosTheta)) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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) 2) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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) 3) (- (pow alpha 4) 1))) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 4) 1)) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (+ 1 (pow alpha 2))))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (log (pow (pow alpha 2) (PI))) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (* (log (pow (pow alpha 2) (PI))) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (exp (* (log (pow (pow alpha 2) (PI))) (- (+ 1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))))
#s(approx (* (* (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 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (pow alpha 2) 1))))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(hole binary32 (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) #s(hole binary32 (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) #s(hole binary32 (pow alpha 2)))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) #s(hole binary32 (+ (/ 1 (pow cosTheta 2)) (pow alpha 2))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 4) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (/ (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (/ (pow alpha 4) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (/ (pow alpha 4) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 4) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 4) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
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#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (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) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (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)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))))) (pow cosTheta 2))) (pow alpha 6))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))))
#s(approx (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) #s(hole binary32 (pow alpha 2)))
#s(approx (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #s(hole binary32 (pow alpha 4)))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #s(hole binary32 (* (pow alpha 4) (- 1 (/ 1 (pow alpha 4))))))
#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 (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -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 cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))))
#s(approx (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) #s(hole binary32 (* -1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (neg (log alpha)) #s(hole binary32 (* -1 (+ (log -1) (* -1 (log (/ -1 alpha)))))))
#s(approx (log alpha) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 alpha))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))))
#s(approx (* (PI) (log (* alpha alpha))) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (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) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))
#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (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)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))))) (pow cosTheta 2))) (pow alpha 6))) (* 1/2 (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))

Calls

6 calls:

Time	Variable		Point	Expression
50.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1))
47.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1))
42.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1))
34.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1))
32.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (/ 1 (* cosTheta cosTheta)) (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (- (* (* alpha alpha) (* alpha alpha)) 1) (* (* alpha alpha) (* alpha alpha)) (+ (* alpha alpha) 1))

rewrite200.0ms (4.6%)

Memory

29.6MiB live, 292.8MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	877	9905
0	942	8233
1	5537	8207
0	8092	8093

Stop Event

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

Counts

216 → 524

Calls

Call 1

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

Outputs
(/.f32 (neg.f32 (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(expm1.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
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(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha (-.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))
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(/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
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(fma.f32 (fabs.f32 alpha) (fabs.f32 alpha) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
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(*.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))
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(pow.f32 (pow.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32))
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(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(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 alpha (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))
(.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.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) (fma.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 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)))
(fma.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
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(.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))
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(.f32 (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha))))
(/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) #s(literal 1 binary32))) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32)))))
(/.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) #s(literal 1 binary32))) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (neg.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) cosTheta)))
(pow.f32 (pow.f32 (.f32 alpha alpha) (.f32 (PI.f32) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
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#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (.f32 (fma.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.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 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) cosTheta) cosTheta))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) cosTheta) cosTheta))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 (-.f32 (-.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (.f32 cosTheta cosTheta)))) (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (.f32 cosTheta cosTheta))))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 (-.f32 (-.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32))))) (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32))))) (+.f32 (+.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32))))) (/.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (*.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (.f32 (+.f32 (neg.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) #s(literal 0 binary32)) (.f32 (pow.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (log.f32 alpha)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -1/96 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 (/.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) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (.f32 (.f32 alpha alpha) (-.f32 (fma.f32 (.f32 alpha alpha) (-.f32 (neg.f32 (.f32 (+.f32 (neg.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) #s(literal 0 binary32)) (.f32 (pow.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (log.f32 alpha)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -1/96 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 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) #s(literal 0 binary32)) (-.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 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) #s(literal 1/48 binary32) (.f32 (/.f32 (fma.f32 (.f32 #s(literal -2880 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) #s(literal 2880 binary32))) (.f32 (pow.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (log.f32 alpha)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -1/2880 binary32)))) (.f32 alpha alpha))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) #s(literal 0 binary32)) (.f32 (pow.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (log.f32 alpha)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -1/96 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 #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 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))
#s(approx (+ (* alpha alpha) -1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (fma.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) #s(literal 0 binary32)) (.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 #s(literal -2880 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) #s(literal 2880 binary32))) (.f32 (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) #s(literal 0 binary32)) #s(literal 1/24 binary32))) (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))) (log.f32 alpha))) (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (fma.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (.f32 (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))) (.f32 (log.f32 alpha) (log.f32 alpha))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))) (log.f32 alpha))))) (.f32 alpha alpha) (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (fma.f32 (fma.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))) (log.f32 alpha)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (.f32 (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))) (.f32 (log.f32 alpha) (log.f32 alpha))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (.f32 (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 4/3 binary32))) (.f32 alpha alpha))) (.f32 alpha alpha) (exp.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #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) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))
#s(approx (+ (* alpha alpha) -1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* 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 (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 (/.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) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))) (.f32 alpha alpha)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (.f32 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))))))
#s(approx (neg (log alpha)) (neg.f32 (log.f32 alpha)))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (.f32 (log.f32 alpha) (PI.f32))))))
#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 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha))))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 #s(literal 1/2 binary32) (-.f32 (.f32 (.f32 alpha alpha) (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (.f32 (fma.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)))) (fma.f32 (/.f32 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) #s(literal 3 binary32)))) #s(literal 1/2 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 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.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) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (.f32 (fma.f32 (-.f32 (+.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) #s(literal 3 binary32))))) #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.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)))) (fma.f32 (/.f32 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) #s(literal 3 binary32)))) #s(literal 1/2 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))))) (fma.f32 (/.f32 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) #s(literal 3 binary32)))) #s(literal 1/2 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 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.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) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)))
#s(approx (* (* alpha alpha) (* alpha alpha)) (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha))
#s(approx (+ (* alpha alpha) 1) #s(literal 1 binary32))
#s(approx (+ (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal 1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow.f32 alpha (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
#s(approx (pow (* alpha alpha) (PI)) (exp.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (+.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.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 (neg.f32 (log.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 alpha)))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (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 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 alpha)))) #s(literal -1/2 binary32))) (.f32 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 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 alpha)))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta)))
#s(approx (neg (log alpha)) (neg.f32 (log.f32 alpha)))
#s(approx (log alpha) (neg.f32 (neg.f32 (log.f32 alpha))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (.f32 (.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta) (.f32 (PI.f32) (/.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (neg.f32 (log.f32 alpha))) (.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 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (+.f32 (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (fma.f32 cosTheta cosTheta (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (+.f32 (/.f32 (neg.f32 cosTheta) (.f32 alpha alpha)) cosTheta) (*.f32 alpha alpha)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
#s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha)))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (*.f32 alpha alpha))
#s(approx (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.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 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 alpha alpha) 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 (.f32 (.f32 alpha alpha) alpha) alpha))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.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 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta))) (fma.f32 (/.f32 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) #s(literal 1/2 binary32) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)))) #s(literal -1/2 binary32)))) (.f32 cosTheta cosTheta)) (.f32 (.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) #s(literal 1/2 binary32))) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 alpha alpha) 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 (.f32 (.f32 alpha alpha) alpha) alpha))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) (.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 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta))))))))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha))
#s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha)))
#s(approx (+ (* alpha alpha) 1) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) 1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 alpha alpha)))
#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 (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 (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 (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 (.f32 alpha alpha) 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 (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 (pow.f32 alpha #s(literal 6 binary32)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)))) #s(literal -1/2 binary32) (fma.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ -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))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (neg (log 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 (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 (log (pow (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 (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 (* (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)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow (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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 0 binary32) (.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)))) (/.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 (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 (.f32 (.f32 alpha alpha) alpha) alpha))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) 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 (fma.f32 #s(literal 0 binary32) (.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 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (pow.f32 cosTheta #s(literal 6 binary32))) (.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 (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) (.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))) (fma.f32 (/.f32 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal 1/2 binary32) (.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal -1/2 binary32)))) (.f32 cosTheta cosTheta)) (.f32 (/.f32 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal 1/2 binary32))) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 alpha alpha) alpha) alpha)))) (fma.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) 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 (fma.f32 #s(literal 0 binary32) (.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 (.f32 (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (fma.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (pow.f32 cosTheta #s(literal 6 binary32))) (.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))))))))

eval771.0ms (17.6%)

Memory: -86.0MiB live, 256.6MiB allocated; 1.1s collecting garbage
Compiler: Compiled 9 830 to 2 865 computations (70.9% saved)

prune63.0ms (1.4%)

Memory

-5.1MiB live, 94.2MiB allocated; 26ms collecting garbage

Pruning

42 alts after pruning (42 fresh and 0 done)

	Pruned	Kept	Total
New	682	28	710
Fresh	6	14	20
Picked	5	0	5
Done	0	0	0
Total	693	42	735

Accuracy

100.0%

Counts

735 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	51.8%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) cosTheta) cosTheta))))
	98.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
	51.8%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) cosTheta) cosTheta)))
	98.1%	(/.f32 (/.f32 (-.f32 (.f32 (+.f32 (cosh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (.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 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.5%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (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))))
	82.5%	(/.f32 (/.f32 #s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	68.6%	(/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	49.3%	(/.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 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))))
	49.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
	46.0%	(/.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 #s(approx (+ ( alpha alpha) (/ 1 (* cosTheta cosTheta))) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha))) #s(literal 1 binary32)) (.f32 alpha alpha))) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(literal 1 binary32)))))
	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
▶	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow ( alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
▶	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
▶	98.2%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	98.2%	(/.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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	68.6%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))))
	66.9%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (+ ( alpha alpha) -1) (*.f32 alpha alpha)) cosTheta) cosTheta))))
	68.7%	(/.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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.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) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	95.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))
▶	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
	68.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
	1.8%	#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)))))
	94.7%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
	98.0%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (.f32 alpha alpha)))

Compiler

Compiled 1 926 to 1 710 computations (11.2% saved)

series262.0ms (6%)

Memory

-29.7MiB live, 299.0MiB allocated; 65ms collecting garbage

Counts

45 → 199

Calls

Call 1

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

Outputs
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))) (* 1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2))))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (+ (* -1 (* (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))) (* 1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2))))) (- (pow alpha 2) 1))) (+ (* -1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (pow (- (pow alpha 2) 1) 2)) (* (pow (PI) 2) (pow (log alpha) 2)))) (* 1/2880 (/ (* (+ (* -2880 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 960 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))) (* 1920 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2)))))))) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))) (* 1/96 (/ (* (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))) (- (pow alpha 2) 1)) (* (pow (PI) 2) (pow (log alpha) 2))))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (* 2 (* (PI) (log alpha)))))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))))) (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))))))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) #s(hole binary32 (+ (* 2 (* (PI) (log alpha))) (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -2880 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))) (+ (* 960 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))) (* 1920 (* (pow (PI) 3) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (+ (* -48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))) (* 48 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))))))))))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (exp (* 2 (* (PI) (log alpha))))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (+ (exp (* 2 (* (PI) (log alpha)))) (* 2 (* (pow cosTheta 2) (* (PI) (* (exp (* 2 (* (PI) (log alpha)))) (* (log alpha) (- (pow alpha 2) 1)))))))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (+ (exp (* 2 (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (exp (* 2 (* (PI) (log alpha)))) (* (log alpha) (- (pow alpha 2) 1))))) (* 2 (* (pow cosTheta 2) (* (pow (PI) 2) (* (exp (* 2 (* (PI) (log alpha)))) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2)))))))))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) #s(hole binary32 (+ (exp (* 2 (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (exp (* 2 (* (PI) (log alpha)))) (* (log alpha) (- (pow alpha 2) 1))))) (* (pow cosTheta 2) (+ (* 4/3 (* (pow cosTheta 2) (* (pow (PI) 3) (* (exp (* 2 (* (PI) (log alpha)))) (* (pow (log alpha) 3) (pow (- (pow alpha 2) 1) 3)))))) (* 2 (* (pow (PI) 2) (* (exp (* 2 (* (PI) (log alpha)))) (* (pow (log alpha) 2) (pow (- (pow alpha 2) 1) 2))))))))))))
#s(approx (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (* 2 (PI))))
#s(approx (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) #s(hole binary32 (+ (* 2 (PI)) (* 2 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 1))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))))
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Calls

6 calls:

Time	Variable		Point	Expression
90.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* 2 (PI)) 2 (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta 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))) (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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)) (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)))
51.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* 2 (PI)) 2 (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta 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))) (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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)) (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)))
40.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* 2 (PI)) 2 (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta 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))) (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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)) (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)))
27.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* 2 (PI)) 2 (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta 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))) (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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)) (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)))
21.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (* 2 (PI)) 2 (PI) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta (+ (* alpha alpha) -1) -1 (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (* (* cosTheta 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))) (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)) (/ (* (+ alpha 1) (- alpha 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (+ alpha 1) (- alpha 1)) (+ alpha 1) (- alpha 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) (/ (- (* 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)) (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)))

rewrite202.0ms (4.6%)

Memory

38.6MiB live, 167.9MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	852	9968
0	929	8464
1	5046	8376
0	8435	8261

Stop Event

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

Counts

244 → 582

Calls

Call 1

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

Outputs
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))))))
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#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (-.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32))) (.f32 (.f32 (.f32 cosTheta cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) cosTheta))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (neg.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
#s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))
#s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
#s(approx (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 cosTheta cosTheta)))
#s(approx (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha cosTheta) (.f32 alpha cosTheta))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)))
#s(approx (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (neg.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha))))
#s(approx (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha cosTheta) (.f32 alpha cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 cosTheta cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (.f32 (+.f32 (neg.f32 (.f32 (fma.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 (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32)))) #s(literal 0 binary32)) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal -1/96 binary32))) (.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 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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (.f32 (.f32 alpha alpha) (-.f32 (fma.f32 (.f32 alpha alpha) (-.f32 (neg.f32 (.f32 (+.f32 (neg.f32 (.f32 (.f32 cosTheta cosTheta) (/.f32 (fma.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 (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32)))) #s(literal 0 binary32)) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal -1/96 binary32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32)))) #s(literal 0 binary32)) (-.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 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) #s(literal 1/48 binary32) (.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) cosTheta))) #s(literal 2880 binary32) (.f32 (.f32 #s(literal -2880 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) cosTheta))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)))) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal -1/2880 binary32)))) (.f32 alpha alpha))) (fma.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 (/.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32)))) #s(literal 0 binary32)) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal -1/96 binary32)))) (/.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 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))
#s(approx (+ (* alpha alpha) -1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 (.f32 alpha cosTheta) (.f32 alpha cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (fma.f32 (fma.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 #s(literal 1/24 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32)))) #s(literal 0 binary32)))) (.f32 alpha alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (.f32 (.f32 (.f32 cosTheta cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) cosTheta))) #s(literal 2880 binary32) (.f32 (.f32 #s(literal -2880 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) cosTheta))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)))) (.f32 (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (log.f32 alpha)) (.f32 (PI.f32) (PI.f32)))) #s(literal 0 binary32)) #s(literal 1/24 binary32))) (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (log.f32 alpha))) (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (fma.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (.f32 (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (log.f32 alpha) (log.f32 alpha))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (log.f32 alpha))))) (.f32 alpha alpha) (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 (.f32 (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (log.f32 alpha) (log.f32 alpha))) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) cosTheta))) (.f32 (exp.f32 (fma.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)) (.f32 (log.f32 (log.f32 alpha)) #s(literal 3 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))) #s(literal 4/3 binary32))) (.f32 alpha alpha) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (log.f32 alpha))) #s(literal 2 binary32))) (.f32 alpha alpha) (pow.f32 (.f32 alpha alpha) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)))))
#s(approx (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (+.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32) (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (PI.f32))))))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))
#s(approx (+ (* alpha alpha) -1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (.f32 (+.f32 (neg.f32 (/.f32 (.f32 (.f32 (.f32 alpha cosTheta) (.f32 alpha cosTheta)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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 (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 #s(literal 2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 (.f32 alpha cosTheta) (.f32 alpha cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) (.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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (.f32 (+.f32 (neg.f32 (/.f32 (.f32 (.f32 (.f32 alpha cosTheta) (.f32 alpha cosTheta)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #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 alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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 (+ (* alpha alpha) -1) #s(literal -1 binary32))
#s(approx (+ (* alpha alpha) -1) (fma.f32 alpha alpha #s(literal -1 binary32)))
#s(approx (+ alpha 1) #s(literal 1 binary32))
#s(approx (+ alpha 1) (+.f32 #s(literal 1 binary32) alpha))
#s(approx (- alpha 1) #s(literal -1 binary32))
#s(approx (- alpha 1) (-.f32 alpha #s(literal 1 binary32)))
#s(approx (* (PI) (log (* alpha alpha))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))
#s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))
#s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (-.f32 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))
#s(approx (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))
#s(approx (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 (-.f32 (fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))
#s(approx (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (log.f32 alpha) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))) (.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 alpha) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
#s(approx (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))) (pow.f32 alpha (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32)))))
#s(approx (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 (.f32 alpha alpha) (.f32 (*.f32 cosTheta cosTheta) (PI.f32))) #s(literal 2 binary32)))
#s(approx (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 cosTheta cosTheta) (PI.f32) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 alpha cosTheta) (*.f32 alpha cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha)))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal -1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))))))
#s(approx (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) (/.f32 #s(literal -1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (log alpha) (log.f32 alpha))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)) #s(literal -2 binary32)))
#s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.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 (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal -2 binary32)))
#s(approx (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) (neg.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
#s(approx (* (log alpha) (PI)) (neg.f32 (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 #s(literal -1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta)))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))) #s(literal -1/2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (.f32 (log.f32 alpha) (PI.f32))) (.f32 cosTheta cosTheta)))))))
#s(approx (+ (* alpha alpha) -1) (*.f32 alpha alpha))
#s(approx (+ (* alpha alpha) -1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (*.f32 alpha alpha)))
#s(approx (+ alpha 1) alpha)
#s(approx (+ alpha 1) (fma.f32 #s(literal 1 binary32) alpha #s(literal 1 binary32)))
#s(approx (- alpha 1) alpha)
#s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))
#s(approx (* (PI) (log (* alpha alpha))) (.f32 (neg.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 (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 alpha cosTheta) (*.f32 alpha cosTheta)))
#s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 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 (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (.f32 (.f32 alpha cosTheta) (*.f32 alpha cosTheta)))
#s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha)))
#s(approx (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (*.f32 cosTheta cosTheta))
#s(approx (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (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 (* (* 2 (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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.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 (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))) (-.f32 (/.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.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 (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.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 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))))))
#s(approx (/ 1/2 (* (* (* cosTheta cosTheta) (PI)) (log alpha))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))))))
#s(approx (* (* (* cosTheta cosTheta) (PI)) (log alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32)))))
#s(approx (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 (* (* 2 (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 (* (* 2 (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 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))))) (*.f32 alpha alpha)))
#s(approx (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))
#s(approx (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) (.f32 (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32)))
#s(approx (* (log alpha) (PI)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (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 (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.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 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 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 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta))))))
#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) (.f32 cosTheta cosTheta))))) (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 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 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 (neg.f32 alpha))))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) (.f32 (.f32 alpha alpha) alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 (neg.f32 alpha))) (PI.f32)) (*.f32 cosTheta cosTheta))))))
#s(approx (- alpha 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) 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)))

eval102.0ms (2.3%)

Memory: -12.6MiB live, 95.1MiB allocated; 75ms collecting garbage
Compiler: Compiled 9 934 to 3 350 computations (66.3% saved)

prune41.0ms (0.9%)

Memory

18.2MiB live, 64.9MiB allocated; 3ms collecting garbage

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	718	27	745
Fresh	23	14	37
Picked	4	1	5
Done	0	0	0
Total	745	42	787

Accuracy

100.0%

Counts

787 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	51.8%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) cosTheta) cosTheta))))
▶	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) (.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32)))))
	98.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	98.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
▶	98.4%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha))))
	51.8%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) cosTheta) cosTheta)))
	82.5%	(/.f32 (/.f32 #s(approx (- (* (* alpha alpha) (* alpha alpha)) 1) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	68.6%	(/.f32 (/.f32 #s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	49.3%	(/.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 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))))
	49.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 (/.f32 #s(literal 1 binary32) 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 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 #s(approx (+ (/ (+ (neg ( cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha)))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(literal 1 binary32)))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow ( alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
▶	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))) #s(literal 2 binary32))))
	98.4%	(/.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 (pow.f32 alpha (PI.f32))) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (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))) #s(approx (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* (* (log alpha) (PI)) (+ (neg (* cosTheta cosTheta)) 1)) 2) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	98.1%	(/.f32 (.f32 (/.f32 (fma.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 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) (.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))))
	97.9%	(/.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))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	98.0%	(-.f32 (/.f32 (.f32 alpha alpha) #s(approx (log (pow alpha ( (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))) (/.f32 #s(literal 1 binary32) #s(approx (log (pow alpha ( (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))))
	98.3%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
▶	98.2%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
✓	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
▶	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
	94.7%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
	95.2%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
	68.6%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* 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)))))
	98.1%	#s(approx (/ (- (* alpha alpha) 1) (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1))))) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (log.f32 alpha) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))) (.f32 alpha alpha)))

Compiler

Compiled 2 090 to 1 865 computations (10.8% saved)

series119.0ms (2.7%)

Memory

-30.4MiB live, 110.8MiB allocated; 15ms collecting garbage

Counts

39 → 219

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	alpha	@	0	((/ (+ (* alpha alpha) -1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (+ (* alpha alpha) -1) alpha -1 (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))) (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (+ (PI) (PI)) (PI) (/ (- (* 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)) (/ (- (* 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))) (* (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) 2) (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI)) 2 (* (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))))) (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (- alpha 1) (/ (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))
21.0ms	alpha	@	-inf	((/ (+ (* alpha alpha) -1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (+ (* alpha alpha) -1) alpha -1 (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))) (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (+ (PI) (PI)) (PI) (/ (- (* 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)) (/ (- (* 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))) (* (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) 2) (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI)) 2 (* (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))))) (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (- alpha 1) (/ (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))
16.0ms	cosTheta	@	0	((/ (+ (* alpha alpha) -1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (+ (* alpha alpha) -1) alpha -1 (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))) (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (+ (PI) (PI)) (PI) (/ (- (* 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)) (/ (- (* 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))) (* (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) 2) (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI)) 2 (* (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))))) (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (- alpha 1) (/ (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))
16.0ms	cosTheta	@	inf	((/ (+ (* alpha alpha) -1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (+ (* alpha alpha) -1) alpha -1 (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))) (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (+ (PI) (PI)) (PI) (/ (- (* 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)) (/ (- (* 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))) (* (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) 2) (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI)) 2 (* (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))))) (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (- alpha 1) (/ (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))
16.0ms	alpha	@	inf	((/ (+ (* alpha alpha) -1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (+ (* alpha alpha) -1) alpha -1 (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))) (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* cosTheta cosTheta) cosTheta 1 (+ (PI) (PI)) (PI) (/ (- (* 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)) (/ (- (* 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))) (* (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) 2) (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI)) 2 (* (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))))) (+ 1 alpha) (/ (- alpha 1) (* (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))))) (- alpha 1) (/ (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (* (+ (PI) (PI)) (log alpha)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (* (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (* alpha alpha)) (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha)))

rewrite200.0ms (4.6%)

Memory

12.4MiB live, 198.1MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	912	12081
0	980	10691
1	5505	10668
0	8136	10552

Stop Event

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

Counts

258 → 442

Calls

Call 1

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

eval50.0ms (1.1%)

Memory: -10.5MiB live, 78.9MiB allocated; 11ms collecting garbage
Compiler: Compiled 10 220 to 2 447 computations (76.1% saved)

prune49.0ms (1.1%)

Memory

26.3MiB live, 80.4MiB allocated; 7ms collecting garbage

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	598	18	616
Fresh	20	16	36
Picked	3	2	5
Done	0	1	1
Total	621	37	658

Accuracy

100.0%

Counts

658 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
✓	98.6%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) (.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32)))))
	98.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) (.f32 #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (+.f32 (PI.f32) (PI.f32)))))
	95.2%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (log.f32 alpha) #s(approx ( (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))) (+.f32 (PI.f32) (PI.f32)))))
	98.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	98.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (log (pow alpha (* (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	98.2%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (*.f32 alpha alpha))))
	95.1%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 #s(approx (+ ( cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha))))
	98.3%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) #s(approx (+ ( (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) #s(approx (* (+ (* cosTheta cosTheta) (/ (- 1 (* cosTheta cosTheta)) (* alpha alpha))) (* alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	51.8%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (.f32 (fma.f32 alpha alpha (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))) cosTheta) cosTheta)))
	98.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 alpha)) (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	98.2%	(/.f32 (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (PI.f32) (PI.f32))) (log.f32 alpha)) #s(approx (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
	49.3%	(/.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 (fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 cosTheta cosTheta)))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(approx (* (- (+ (* alpha alpha) (/ 1 (* cosTheta cosTheta))) 1) (* cosTheta cosTheta)) #s(literal 1 binary32)))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 alpha #s(approx ( (* 2 (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (+.f32 (PI.f32) (PI.f32))))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 #s(approx (pow (pow ( alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.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))) #s(approx (* (* (- 1 (* cosTheta cosTheta)) (* (log alpha) (PI))) 2) (.f32 (+.f32 (PI.f32) (PI.f32)) (.f32 (log.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) alpha)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))))))
	97.9%	(/.f32 (.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	97.9%	(/.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))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	98.3%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))
	98.1%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 alpha)) (.f32 (+.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
	94.8%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(approx (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI))) (+.f32 (PI.f32) (PI.f32))))))
	97.9%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (log alpha) (* (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1) (+ (PI) (PI)))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))))
	98.0%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (.f32 (log.f32 alpha) (.f32 (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 (PI.f32) (PI.f32))))))
	68.6%	#s(approx (/ (/ (+ (* alpha alpha) -1) (* (+ (PI) (PI)) (log alpha))) (+ (* (* 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)))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
✓	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
✓	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta (*.f32 cosTheta (PI.f32))) (log.f32 alpha))))
	1.8%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta (.f32 (*.f32 (PI.f32) cosTheta) (log.f32 alpha)))))
	94.7%	#s(approx (/ (- (* alpha alpha) 1) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (+ (* alpha alpha) -1)) 1)))) (/.f32 (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha #s(literal -1 binary32)) (.f32 (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))

Compiler

Compiled 2 190 to 1 283 computations (41.4% saved)

regimes114.0ms (2.6%)

Memory

11.1MiB live, 96.6MiB allocated; 13ms collecting garbage

Counts

99 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

34.0ms	alpha
27.0ms	(*.f32 alpha alpha)
23.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
23.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 alpha alpha)`
98.8%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.8%	1	`cosTheta`
98.8%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes109.0ms (2.5%)

Memory

-20.8MiB live, 125.1MiB allocated; 40ms collecting garbage

Counts

88 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

34.0ms	(/.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))))
26.0ms	(*.f32 alpha alpha)
24.0ms	alpha
21.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 alpha alpha)`
98.8%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.8%	1	`cosTheta`
98.8%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes83.0ms (1.9%)

Memory

17.7MiB live, 110.5MiB allocated; 6ms collecting garbage

Counts

80 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`(*.f32 alpha alpha)`
98.6%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.6%	1	`cosTheta`
98.6%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes45.0ms (1%)

Memory

-4.0MiB live, 48.0MiB allocated; 7ms collecting garbage

Counts

39 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

14.0ms	cosTheta
10.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
10.0ms	(*.f32 alpha alpha)
10.0ms	alpha

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f32 alpha alpha)`
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	`cosTheta`
98.3%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes30.0ms (0.7%)

Memory

-8.9MiB live, 37.7MiB allocated; 2ms collecting garbage

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.3%	1	`(*.f32 alpha alpha)`
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	`cosTheta`
98.3%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes27.0ms (0.6%)

Memory

-12.0MiB live, 34.0MiB allocated; 3ms collecting garbage

Counts

23 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	(*.f32 alpha 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	alpha
6.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.2%	1	`(*.f32 alpha alpha)`
95.2%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.2%	1	`cosTheta`
95.2%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes24.0ms (0.5%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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	(*.f32 alpha alpha)
6.0ms	alpha
6.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.2%	1	`(*.f32 alpha alpha)`
95.2%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.2%	1	`cosTheta`
95.2%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes14.0ms (0.3%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms 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 (log.f32 alpha) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (PI.f32) cosTheta) cosTheta)) (log.f32 alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta (*.f32 cosTheta (PI.f32))) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (*.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))))

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
1.8%	1	`cosTheta`
1.8%	1	`(*.f32 alpha alpha)`
1.8%	1	`alpha`
1.8%	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))))`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

2 → 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))))

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:

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
1.8%	1	`(*.f32 alpha alpha)`
1.8%	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))))`
1.8%	1	`cosTheta`
1.8%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes33.0ms (0.7%)

Memory

-38.7MiB live, 8.4MiB allocated; 2ms 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:

29.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
1.0ms	(*.f32 alpha alpha)
1.0ms	cosTheta
1.0ms	alpha

Results

Accuracy	Segments	Branch
1.8%	1	`cosTheta`
1.8%	1	`(*.f32 alpha alpha)`
1.8%	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))))`
1.8%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations264.0ms (6%)

Memory

20.8MiB live, 204.3MiB allocated; 21ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 139 to 79 computations (43.2% saved)

preprocess78.0ms (1.8%)

Memory

7.8MiB live, 154.2MiB allocated; 12ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 009 to 876 computations (13.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze38.0ms (0.9%)

sample845.0ms (19.3%)

preprocess31.0ms (0.7%)

series82.0ms (1.9%)

rewrite224.0ms (5.1%)

eval19.0ms (0.4%)

prune19.0ms (0.4%)

series233.0ms (5.3%)

rewrite200.0ms (4.6%)

eval771.0ms (17.6%)

prune63.0ms (1.4%)

series262.0ms (6%)

rewrite202.0ms (4.6%)

eval102.0ms (2.3%)

prune41.0ms (0.9%)

series119.0ms (2.7%)

rewrite200.0ms (4.6%)

eval50.0ms (1.1%)

prune49.0ms (1.1%)

regimes114.0ms (2.6%)

regimes109.0ms (2.5%)

regimes83.0ms (1.9%)

regimes45.0ms (1%)

regimes30.0ms (0.7%)

regimes27.0ms (0.6%)

regimes24.0ms (0.5%)

regimes14.0ms (0.3%)

regimes5.0ms (0.1%)

regimes33.0ms (0.7%)

derivations264.0ms (6%)

preprocess78.0ms (1.8%)

end0.0ms (0%)

Profiling