Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze40.0ms (1.2%)

Memory

12.7MiB live, 61.7MiB allocated; 7ms 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)

sample815.0ms (23.8%)

Memory

54.8MiB live, 929.8MiB allocated; 146ms collecting garbage

Samples

562.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 358.0ms

ival-mult!: 173.0ms (48.3% of total)

ival-log: 90.0ms (25.1% of total)

ival-div!: 41.0ms (11.4% of total)

ival-sub!: 31.0ms (8.7% of total)

ival-add!: 19.0ms (5.3% of total)

adjust: 2.0ms (0.6% 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

preprocess32.0ms (0.9%)

Memory

-34.0MiB live, 11.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	146
1	170	146
2	616	146
3	3554	144

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.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

▶

98.7%

(/.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)

series79.0ms (2.3%)

Memory

19.2MiB live, 101.0MiB allocated; 19ms 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
29.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
16.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
14.0ms	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)

rewrite178.0ms (5.2%)

Memory

35.4MiB live, 136.5MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	2886
0	323	2685
1	1720	2664
0	8097	2594

Stop Event

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

Counts

74 → 156

Calls

Call 1

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

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

eval27.0ms (0.8%)

Memory: -11.1MiB live, 30.6MiB allocated; 12ms collecting garbage
Compiler: Compiled 3 066 to 945 computations (69.2% saved)

prune27.0ms (0.8%)

Memory

-8.0MiB live, 36.0MiB allocated; 10ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	182	23	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	183	23	206

Accuracy

99.9%

Counts

206 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.7%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.2%	(/.f32 (/.f32 (expm1.f32 (.f32 (log.f32 alpha) #s(literal 6 binary32))) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.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 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	51.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (-.f32 (fma.f32 alpha alpha (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #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)))))
	95.1%	(/.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)) #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))))
▶	98.9%	(/.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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) #s(literal 2 binary32))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (.f32 (PI.f32) (/.f32 (.f32 (neg.f32 (log.f32 alpha)) (+.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32))) (.f32 alpha alpha))))) (*.f32 alpha alpha))))
	98.4%	(/.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 #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))))
▶	68.1%	(/.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))))
	98.4%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.3%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
▶	98.3%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	1.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))
	68.1%	#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 1 060 to 868 computations (18.1% saved)

series286.0ms (8.4%)

Memory

7.4MiB live, 322.4MiB allocated; 159ms collecting garbage

Counts

44 → 205

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
64.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (+ alpha 1) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* 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)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))
56.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (+ alpha 1) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* 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)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))
55.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (+ alpha 1) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* 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)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))
39.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (+ alpha 1) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* 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)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))
31.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (PI) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha)))) -1/2 (* (* (* cosTheta cosTheta) (PI)) (neg (log alpha))) (* (* cosTheta cosTheta) (PI)) (* cosTheta cosTheta) (neg (log alpha)) (log alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (+ alpha 1) (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) 2 (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* 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)) (+ (neg (* cosTheta cosTheta)) 1) (neg (* cosTheta cosTheta)))

rewrite196.0ms (5.7%)

Memory

52.9MiB live, 229.7MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	846	10071
0	923	9169
1	4973	9136
0	8110	8853

Stop Event

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

Counts

249 → 496

Calls

Call 1

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

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

eval150.0ms (4.4%)

Memory: -54.3MiB live, 103.9MiB allocated; 88ms collecting garbage
Compiler: Compiled 8 428 to 2 828 computations (66.4% saved)

prune33.0ms (1%)

Memory

24.4MiB live, 69.0MiB allocated; 7ms collecting garbage

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	623	20	643
Fresh	6	12	18
Picked	5	0	5
Done	0	0	0
Total	634	32	666

Accuracy

100.0%

Counts

666 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.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))))
▶	98.7%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.5%	(/.f32 (/.f32 (-.f32 (.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 (fma.f32 cosTheta cosTheta (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) (.f32 alpha alpha))) (*.f32 alpha alpha))))
	98.1%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.2%	(/.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)) (.f32 (+.f32 (/.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)) alpha) alpha) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	95.0%	(/.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 #s(approx (+ (/ (+ (neg ( cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha)))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	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)) #s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) #s(literal 1 binary32)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	95.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
	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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	98.5%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.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))))
	98.4%	(/.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 #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))))
▶	68.1%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
▶	66.3%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
	98.4%	(-.f32 (/.f32 (.f32 alpha alpha) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.2%	(.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.3%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.4%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	97.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	97.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	94.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
▶	98.1%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.2%	(.f32 #s(approx (/ (+ alpha 1) ( (* (log alpha) (PI)) 2)) (fma.f32 (/.f32 alpha (.f32 (log.f32 alpha) (PI.f32))) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	68.1%	#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)))))
	68.1%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))

Compiler

Compiled 1 466 to 1 262 computations (13.9% saved)

series128.0ms (3.7%)

Memory

11.6MiB live, 241.7MiB allocated; 51ms collecting garbage

Counts

39 → 244

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
30.0ms	alpha	@	0	((/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) (/ (/ (- (* (* 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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
29.0ms	alpha	@	-inf	((/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) (/ (/ (- (* (* 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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
28.0ms	alpha	@	inf	((/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) (/ (/ (- (* (* 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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
16.0ms	cosTheta	@	inf	((/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) (/ (/ (- (* (* 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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))
9.0ms	cosTheta	@	0	((/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (PI) (log (* alpha alpha))) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (* (log alpha) 2) (/ (/ (- (* (* 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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta))

rewrite237.0ms (6.9%)

Memory

4.8MiB live, 278.7MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1109	14840
0	1179	13228
1	6591	13227
0	8020	13067

Stop Event

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

Counts

283 → 458

Calls

Call 1

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

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

eval48.0ms (1.4%)

Memory: 6.1MiB live, 93.3MiB allocated; 17ms collecting garbage
Compiler: Compiled 10 704 to 2 265 computations (78.8% saved)

prune131.0ms (3.8%)

Memory

-5.9MiB live, 65.4MiB allocated; 153ms collecting garbage

Pruning

34 alts after pruning (32 fresh and 2 done)

	Pruned	Kept	Total
New	550	17	567
Fresh	12	15	27
Picked	3	2	5
Done	0	0	0
Total	565	34	599

Accuracy

100.0%

Counts

599 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	98.1%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))
	83.1%	(/.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))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	95.0%	(/.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 #s(approx (+ (/ (+ (neg ( cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha)))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	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)) #s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) #s(literal 1 binary32)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	95.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
	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) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	98.1%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
▶	98.4%	(/.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 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))) (PI.f32))
▶	68.1%	(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	97.9%	(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
✓	66.3%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
▶	66.3%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.1%	(.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (PI.f32) (.f32 (PI.f32) alpha)) (.f32 (PI.f32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.1%	(.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.4%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
▶	97.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	97.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	94.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	50.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 alpha) (/.f32 (log.f32 alpha) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))))
	94.6%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	97.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.0%	(.f32 (/.f32 #s(approx (+ alpha 1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.1%	(.f32 (+.f32 (/.f32 alpha (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.0%	(.f32 #s(approx (/ (+ alpha 1) (PI)) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal 1 binary32) (PI.f32))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.8%	#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
	68.1%	#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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)))))
	68.1%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))

Compiler

Compiled 1 544 to 1 424 computations (7.8% saved)

series103.0ms (3%)

Memory

-1.4MiB live, 233.9MiB allocated; 37ms collecting garbage

Counts

39 → 236

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/ -1/2 (* (log alpha) (PI))) -1/2 (/ (* (+ 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 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (* (- 1 (/ 1 alpha)) alpha) (- 1 (/ 1 alpha)) (/ 1 alpha))
21.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/ -1/2 (* (log alpha) (PI))) -1/2 (/ (* (+ 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 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (* (- 1 (/ 1 alpha)) alpha) (- 1 (/ 1 alpha)) (/ 1 alpha))
20.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/ -1/2 (* (log alpha) (PI))) -1/2 (/ (* (+ 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 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (* (- 1 (/ 1 alpha)) alpha) (- 1 (/ 1 alpha)) (/ 1 alpha))
8.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/ -1/2 (* (log alpha) (PI))) -1/2 (/ (* (+ 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 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (* (- 1 (/ 1 alpha)) alpha) (- 1 (/ 1 alpha)) (/ 1 alpha))
7.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (* (* (log alpha) (PI)) 2) (* (log alpha) (PI)) (log alpha) (PI) 2 (/ (- (* alpha alpha) 1) (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- (* alpha alpha) 1) -1 (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/ -1/2 (* (log alpha) (PI))) -1/2 (/ (* (+ 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 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (* (* (log alpha) (PI)) 2)) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (* (- 1 (/ 1 alpha)) alpha) (- 1 (/ 1 alpha)) (/ 1 alpha))

rewrite212.0ms (6.2%)

Memory

15.4MiB live, 204.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	889	13339
0	947	12169
1	4999	12151
0	8217	11562

Stop Event

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

Counts

275 → 462

Calls

Call 1

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

eval47.0ms (1.4%)

Memory: -21.6MiB live, 64.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 7 719 to 2 067 computations (73.2% saved)

prune42.0ms (1.2%)

Memory

7.5MiB live, 61.5MiB allocated; 12ms collecting garbage

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	565	12	577
Fresh	4	23	27
Picked	4	1	5
Done	1	1	2
Total	574	37	611

Accuracy

100.0%

Counts

611 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.7%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	98.6%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)))
	98.7%	(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32))) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))
	98.1%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))
	83.1%	(/.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))))
	95.0%	(/.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 #s(approx (+ (/ (+ (neg ( cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (.f32 alpha alpha)))))
	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))
	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)) #s(approx (* (+ (/ (+ (neg (* cosTheta cosTheta)) 1) (* alpha alpha)) (* cosTheta cosTheta)) (* alpha alpha)) #s(literal 1 binary32)))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32)))))
	95.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
	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 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32)))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.0%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))))))
	98.3%	(/.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))))
	98.1%	(/.f32 (.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (-.f32 alpha #s(literal 1 binary32))) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))))
	97.8%	(/.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))))
	68.1%	(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
	68.1%	(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
	68.1%	(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32)))) #s(approx (+ 1 ( (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (+.f32 (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal 1 binary32))))
	97.9%	(/.f32 #s(approx (/ (- (* alpha alpha) 1) (* (* (log alpha) (PI)) 2)) (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
✓	66.3%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))))
✓	66.3%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (* (log alpha) (PI)) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	98.1%	(.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (PI.f32) (.f32 (PI.f32) alpha)) (.f32 (PI.f32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.4%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	94.5%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	94.8%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(approx (/ (- alpha 1) (+ ( (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (-.f32 alpha #s(literal 1 binary32))))
	50.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 alpha) (/.f32 (log.f32 alpha) (.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))))
	94.6%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) #s(approx ( (* (log alpha) 2) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
	97.9%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.0%	(.f32 (/.f32 #s(approx (+ alpha 1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) alpha)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.1%	(.f32 (+.f32 (/.f32 alpha (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	98.0%	(.f32 #s(approx (/ (+ alpha 1) (PI)) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal 1 binary32) (PI.f32))) alpha)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	94.8%	#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))
	68.1%	#s(approx (/ (/ (- (* (* alpha alpha) (* alpha alpha)) 1) (+ (* 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)))))
	68.1%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (log.f32 alpha) (fma.f32 (neg.f32 cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))))
	95.1%	#s(approx (/ (* (+ alpha 1) (- 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) #s(literal 2 binary32)) (PI.f32))))

Compiler

Compiled 1 785 to 1 138 computations (36.2% saved)

regimes77.0ms (2.3%)

Memory

-2.5MiB live, 89.8MiB allocated; 6ms collecting garbage

Counts

73 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

19.0ms	cosTheta
19.0ms	(*.f32 alpha alpha)
18.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
17.0ms	alpha

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f32 alpha alpha)`
98.9%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.9%	1	`cosTheta`
98.9%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes71.0ms (2.1%)

Memory

32.0MiB live, 71.2MiB allocated; 12ms collecting garbage

Counts

60 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

25.0ms	(/.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))))
15.0ms	(*.f32 alpha alpha)
15.0ms	alpha
14.0ms	cosTheta

Results

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

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes54.0ms (1.6%)

Memory

-18.0MiB live, 47.5MiB allocated; 22ms collecting garbage

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

25.0ms	cosTheta
9.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
9.0ms	alpha
9.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes35.0ms (1%)

Memory

-5.8MiB live, 40.0MiB allocated; 4ms collecting garbage

Counts

29 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

10.0ms	cosTheta
8.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
8.0ms	alpha
8.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes33.0ms (1%)

Memory

-5.4MiB live, 40.2MiB allocated; 4ms collecting garbage

Counts

26 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(*.f32 alpha alpha)`
98.1%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.1%	1	`cosTheta`
98.1%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes19.0ms (0.6%)

Memory

-10.8MiB live, 36.5MiB allocated; 2ms collecting garbage

Counts

14 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
95.1%	1	`(*.f32 alpha alpha)`
95.1%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.1%	1	`cosTheta`
95.1%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes14.0ms (0.4%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
95.1%	1	`(*.f32 alpha alpha)`
95.1%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
95.1%	1	`cosTheta`
95.1%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

regimes7.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Accuracy

Total -20.6b remaining (-191.5%)

Threshold costs -20.6b (-191.5%)

Counts

3 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

2.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
2.0ms	cosTheta
1.0ms	alpha
1.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
66.3%	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))))`
66.3%	1	`cosTheta`
66.3%	1	`(*.f32 alpha alpha)`
66.3%	1	`alpha`

Compiler

Compiled 22 to 20 computations (9.1% saved)

derivations235.0ms (6.9%)

Memory

-45.8MiB live, 200.8MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 117 to 73 computations (37.6% saved)

preprocess64.0ms (1.9%)

Memory

40.4MiB live, 181.4MiB allocated; 9ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 799 to 674 computations (15.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze40.0ms (1.2%)

sample815.0ms (23.8%)

preprocess32.0ms (0.9%)

series79.0ms (2.3%)

rewrite178.0ms (5.2%)

eval27.0ms (0.8%)

prune27.0ms (0.8%)

series286.0ms (8.4%)

rewrite196.0ms (5.7%)

eval150.0ms (4.4%)

prune33.0ms (1%)

series128.0ms (3.7%)

rewrite237.0ms (6.9%)

eval48.0ms (1.4%)

prune131.0ms (3.8%)

series103.0ms (3%)

rewrite212.0ms (6.2%)

eval47.0ms (1.4%)

prune42.0ms (1.2%)

regimes77.0ms (2.3%)

regimes71.0ms (2.1%)

regimes54.0ms (1.6%)

regimes35.0ms (1%)

regimes33.0ms (1%)

regimes19.0ms (0.6%)

regimes14.0ms (0.4%)

regimes7.0ms (0.2%)

derivations235.0ms (6.9%)

preprocess64.0ms (1.9%)

end0.0ms (0%)

Profiling