Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze98.0ms (1.1%)

Memory

17.5MiB live, 101.7MiB allocated; 14ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.6%	99.4%	0%	0%	0%	0
0%	0%	0.6%	99.4%	0%	0%	0%	1
0%	0%	0.6%	99.4%	0%	0%	0%	2
0%	0%	0.6%	99.4%	0%	0%	0%	3
0%	0%	0.6%	99.4%	0%	0%	0%	4
50%	0.3%	0.3%	99.4%	0%	0%	0%	5
50%	0.3%	0.3%	99.4%	0%	0%	0%	6
75%	0.5%	0.2%	99.4%	0%	0%	0%	7
75%	0.5%	0.2%	99.4%	0%	0%	0%	8
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	9
87.5%	0.6%	0.1%	99.4%	0%	0%	0%	10
93.7%	0.6%	0%	99.4%	0%	0%	0%	11
93.7%	0.6%	0%	99.4%	0%	0%	0%	12

Compiler

Compiled 40 to 23 computations (42.5% saved)

sample1.4s (16.2%)

Memory

37.6MiB live, 1 245.8MiB allocated; 1.1s collecting garbage

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 910.0ms

ival-sub: 328.0ms (36% of total)

ival-mult: 255.0ms (28% of total)

ival-div: 152.0ms (16.7% of total)

ival-log: 90.0ms (9.9% of total)

ival-add: 38.0ms (4.2% of total)

ival-pi: 29.0ms (3.2% of total)

exact: 7.0ms (0.8% of total)

const: 4.0ms (0.4% of total)

adjust: 2.0ms (0.2% of total)

ival-assert: 2.0ms (0.2% of total)

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

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

Bogosity

explain165.0ms (1.9%)

Memory

23.6MiB live, 254.8MiB allocated; 36ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

61.0ms

512×

valid

Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 15.0ms (40.5% of total)

ival-div: 9.0ms (24.3% of total)

ival-log: 5.0ms (13.5% of total)

ival-pi: 2.0ms (5.4% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 2.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess218.0ms (2.5%)

Memory

-33.2MiB live, 216.0MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	146
1	170	146
2	616	146
3	3554	144
0	13	24
0	23	24
1	55	24
2	224	24
3	1279	24
4	7276	24
0	8561	21

Stop Event

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

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))))

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))))

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

Symmetry

(abs cosTheta)

(abs alpha)

Compiler

Compiled 24 to 13 computations (45.8% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Status

Accuracy

Program

▶

98.5%

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series120.0ms (1.3%)

Memory

38.2MiB live, 136.2MiB allocated; 23ms 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
62.0ms	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)
26.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
11.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
9.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
5.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)

rewrite233.0ms (2.6%)

Memory

-29.7MiB live, 155.1MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	2886
0	324	2685
1	1721	2664
0	8098	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)) (log.f32 (pow.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))))
(.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)) (log.f32 (pow.f32 (pow.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 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))) (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 (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 (.f32 alpha alpha) (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 (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)))) #s(literal 1 binary32))) (.f32 (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)))) (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 (neg.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (neg.f32 (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 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (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)) (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 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
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(expm1.f32 (log.f32 (*.f32 alpha alpha)))
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(*.f32 (+.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))
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(/.f32 (-.f32 (pow.f32 (*.f32 alpha alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 alpha) (neg.f32 alpha) #s(literal 1 binary32)))
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(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal -1 binary32)))
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(-.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 (log.f32 (.f32 alpha alpha))) (sinh.f32 (log.f32 (.f32 alpha alpha))))
(exp.f32 (log.f32 (*.f32 alpha alpha)))
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 (log.f32 (pow.f32 (pow.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)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
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(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
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(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(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 (log.f32 (.f32 alpha alpha)) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(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) (.f32 #s(literal -1 binary32) (log.f32 alpha)))
(.f32 (.f32 #s(literal -1 binary32) (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))
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(+.f32 (log.f32 (fabs.f32 alpha)) (log.f32 (fabs.f32 alpha)))
(+.f32 (log.f32 alpha) (log.f32 alpha))
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(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))
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(.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 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
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#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (pow.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 (log.f32 (.f32 alpha alpha)) (-.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 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
#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 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (*.f32 alpha alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 cosTheta cosTheta))))
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#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (log.f32 (.f32 alpha alpha)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
#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 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (-.f32 (fma.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 alpha alpha) (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (-.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))) (.f32 alpha alpha) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 alpha alpha) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #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 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 alpha alpha)) (log.f32 (pow.f32 alpha (.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))
#s(approx (* (PI) (log (* alpha alpha))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #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) (.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32)))
#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) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 #s(literal -1 binary32) cosTheta (.f32 (.f32 alpha alpha) cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32))) (.f32 (.f32 #s(literal -1 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 #s(literal -1 binary32) (log.f32 alpha)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (log.f32 alpha))) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (.f32 #s(literal -1 binary32) (log.f32 alpha))) (.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 (-.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (log.f32 alpha)))) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (.f32 #s(literal -1 binary32) (log.f32 alpha)))) (.f32 cosTheta cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 (.f32 alpha alpha) #s(literal 2 binary32)))) #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 #s(literal -1 binary32) (log.f32 alpha)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (log.f32 alpha))) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (.f32 #s(literal -1 binary32) (log.f32 alpha))) (*.f32 alpha alpha)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1 binary32) (log.f32 alpha)) (PI.f32))) (.f32 (-.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (log.f32 alpha)))) (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) (/.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (.f32 #s(literal -1 binary32) (log.f32 alpha)))) (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 alpha alpha) (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -1 binary32) (log.f32 alpha)) (PI.f32))) (fma.f32 (-.f32 (/.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (log.f32 alpha)))) (.f32 cosTheta cosTheta)) (/.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (.f32 #s(literal -1 binary32) (log.f32 alpha)))) (.f32 cosTheta cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (pow.f32 (.f32 alpha alpha) #s(literal 2 binary32))) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (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 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (*.f32 #s(literal -1 binary32) (log.f32 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)) (.f32 #s(literal -1 binary32) (log.f32 alpha)) (.f32 (/.f32 (.f32 (.f32 #s(literal -1 binary32) (log.f32 alpha)) (PI.f32)) alpha) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) alpha)))) (.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (.f32 #s(literal -2 binary32) (.f32 (*.f32 #s(literal -1 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (*.f32 alpha cosTheta) #s(literal 1 binary32))))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (*.f32 alpha cosTheta) #s(literal 1 binary32))))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (.f32 cosTheta cosTheta)) (.f32 alpha alpha)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (fma.f32 (/.f32 cosTheta (.f32 alpha alpha)) #s(literal -1 binary32) cosTheta) (*.f32 alpha alpha)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32))) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 (pow.f32 (.f32 alpha alpha) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) #s(literal -1 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32)) (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (/.f32 (-.f32 (.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) #s(literal 1/2 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 (.f32 (pow.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (.f32 (pow.f32 (.f32 alpha alpha) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta))))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) 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)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (.f32 (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) (.f32 alpha alpha)))) (.f32 alpha alpha)))
#s(approx (* (PI) (log (* alpha alpha))) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32))))
#s(approx (log (* alpha alpha)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -2 binary32))))

eval25.0ms (0.3%)

Memory: 1.4MiB live, 44.6MiB allocated; 7ms collecting garbage
Compiler: Compiled 8 163 to 976 computations (88% saved)

prune77.0ms (0.9%)

Memory

16.4MiB live, 105.1MiB allocated; 9ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	215	11	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	11	227

Accuracy

99.9%

Counts

227 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 (.f32 alpha alpha)) (neg.f32 (.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))))
	98.2%	(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 alpha alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 alpha) (neg.f32 alpha) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.4%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (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 (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)))) #s(literal 1 binary32))) (.f32 (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)))) (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))))))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (/.f32 #s(literal 1 binary32) (.f32 alpha alpha)))) (.f32 alpha alpha)))))
	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))))
▶	98.5%	(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (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)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
▶	98.2%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.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))))
	98.0%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	98.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))

Compiler

Compiled 1 036 to 448 computations (56.8% saved)

series382.0ms (4.3%)

Memory

3.8MiB live, 535.8MiB allocated; 170ms collecting garbage

Counts

64 → 407

Calls

Call 1

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

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

6 calls:

Time	Variable		Point	Expression
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rewrite255.0ms (2.9%)

Memory

32.1MiB live, 353.2MiB allocated; 60ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1820	28312
0	1960	26921
0	8336	26637

Stop Event

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

Counts

471 → 567

Calls

Call 1

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

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

eval234.0ms (2.6%)

Memory: -11.2MiB live, 262.1MiB allocated; 84ms collecting garbage
Compiler: Compiled 116 258 to 4 899 computations (95.8% saved)

prune375.0ms (4.2%)

Memory

-3.4MiB live, 671.7MiB allocated; 79ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1 161	6	1 167
Fresh	4	2	6
Picked	4	1	5
Done	0	0	0
Total	1 169	9	1 178

Accuracy

100.0%

Counts

1 178 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
▶	98.4%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (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 (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)))) #s(literal 1 binary32))) (.f32 (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)))) (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))))))
	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (+.f32 (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))))
▶	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 alpha alpha)))))
✓	98.5%	(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.0%	(.f32 (/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (.f32 alpha #s(literal 1 binary32))))) (log.f32 (pow.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))))
▶	98.0%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	95.6%	(.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 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))))
▶	98.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))))

Compiler

Compiled 1 541 to 432 computations (72% saved)

series610.0ms (6.9%)

Memory

49.6MiB live, 793.6MiB allocated; 165ms collecting garbage

Counts

78 → 525

Calls

Call 1

Inputs
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (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 (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)))) #s(literal 1 binary32))) (.f32 (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)))) (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 alpha alpha) (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 (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)))) #s(literal 1 binary32)))
(.f32 (.f32 alpha alpha) (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 alpha alpha)
alpha
(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))))
(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)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(PI.f32)
(fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
#s(literal 1 binary32)
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Outputs
#s(approx (/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) #s(hole binary32 (/ (- (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (log (pow (pow alpha 2) (PI)))) (pow (log (pow (pow alpha 2) (PI))) 2))))
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#s(approx (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) #s(hole binary32 (- (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (log (pow (pow alpha 2) (PI))))))
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#s(approx (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) #s(hole binary32 (- (+ (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (* (pow cosTheta 2) (- (+ (* (pow alpha 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))) (* (pow cosTheta 2) (- (* 1/24 (* (pow alpha 2) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* 1/24 (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))))) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (log (pow (pow alpha 2) (PI))))))
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#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
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Calls

6 calls:

Time	Variable		Point	Expression
227.0ms	cosTheta	@	inf	((/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* alpha alpha) alpha (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (- (* alpha alpha) 1) 1 (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha))) (* (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))))) (- (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))))) (- (* (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha))) (* (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))))) (* (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha))) (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (pow (* alpha cosTheta) 2) (* alpha cosTheta) 2 (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2)))) (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (/ 1/2 (* (log alpha) (PI))) 1/2 (* (log alpha) (PI)) (log alpha) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)) (+ (* (* cosTheta cosTheta) -1) 1) -1 (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))) (/ -1/2 (* (log alpha) (PI))) -1/2 (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2)) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2) (* (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))))) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))) (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (/ 1 (* (log alpha) (PI))) (- (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))))) (* (/ (+ alpha 1) (PI)) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (+ alpha 1) (PI)) (+ alpha 1) (/ (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (- alpha 1) (* (log (* alpha alpha)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (* alpha alpha)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (+ (* (/ (* cosTheta cosTheta) alpha) (/ -1 alpha)) (+ (* cosTheta cosTheta) (pow alpha -2))) (* alpha alpha)) (+ (* (/ (* cosTheta cosTheta) alpha) (/ -1 alpha)) (+ (* cosTheta cosTheta) (pow alpha -2))) (/ (* cosTheta cosTheta) alpha) (/ -1 alpha) (+ (* cosTheta cosTheta) (pow alpha -2)) (pow alpha -2) -2 (/ (/ (- (pow (* alpha alpha) 3) 1) (+ (* (* alpha alpha) (* alpha alpha)) (+ 1 (* (* alpha alpha) 1)))) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ (- (pow (* alpha alpha) 3) 1) (+ (* (* alpha alpha) (* alpha alpha)) (+ 1 (* (* alpha alpha) 1)))) (- (pow (* alpha alpha) 3) 1) (pow (* alpha alpha) 3) 3 (+ (* (* alpha alpha) (* alpha alpha)) (+ 1 (* (* alpha alpha) 1))) (+ 1 (* (* alpha alpha) 1)) (* (* alpha alpha) 1) (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))
82.0ms	alpha	@	inf	((/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* alpha alpha) alpha (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow (* alpha alpha) (PI)) (PI) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (* cosTheta cosTheta) cosTheta (- (* alpha alpha) 1) 1 (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha))) (* (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))))) (- (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1)))))) (- (* (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log 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rewrite418.0ms (4.7%)

Memory

0.1MiB live, 656.9MiB allocated; 77ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2614	63203
0	2779	54778
0	8326	53912

Stop Event

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

Counts

603 → 708

Calls

Call 1

Inputs
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(*.f32 alpha alpha)
alpha
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#s(literal 1 binary32)
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Outputs
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#s(approx (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (-.f32 (fma.f32 (.f32 alpha alpha) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 #s(literal 1/24 binary32) (.f32 (.f32 alpha alpha) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/24 binary32) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)))))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))))
#s(approx (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (-.f32 (fma.f32 (.f32 alpha alpha) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (fma.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (+.f32 (.f32 #s(literal 1/24 binary32) (.f32 (.f32 alpha alpha) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)))))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 #s(literal 1/720 binary32) (.f32 (.f32 alpha alpha) (fma.f32 #s(literal -360 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 120 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (.f32 #s(literal 240 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32))))))) (.f32 #s(literal 1/720 binary32) (fma.f32 #s(literal -360 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 120 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (.f32 #s(literal 240 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32))))))))) (.f32 #s(literal 1/24 binary32) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)))))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (.f32 (.f32 alpha alpha) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (.f32 alpha alpha) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (.f32 alpha alpha) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/24 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)))))) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (.f32 alpha alpha) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/720 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal -360 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 120 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (.f32 #s(literal 240 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32))))))) (.f32 #s(literal 1/24 binary32) (.f32 (.f32 alpha alpha) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32))))))))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/24 binary32) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/720 binary32) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal -360 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 120 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (.f32 #s(literal 240 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)))))) (.f32 #s(literal 1/24 binary32) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)))))))))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32))))) (.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))))) (*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))) (.f32 (pow.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32))))))))) (*.f32 (pow.f32 alpha (PI.f32)) (pow.f32 alpha (PI.f32)))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
#s(approx (* cosTheta cosTheta) (*.f32 cosTheta cosTheta))
#s(approx cosTheta cosTheta)
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/24 binary32) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32))))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/720 binary32) (.f32 (.f32 cosTheta cosTheta) (fma.f32 #s(literal -360 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 120 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)) (.f32 #s(literal 240 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 3 binary32)))))) (.f32 #s(literal 1/24 binary32) (fma.f32 #s(literal -12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 12 binary32) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) #s(literal 2 binary32)))))))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))))
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#s(approx (* alpha alpha) (*.f32 alpha alpha))
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#s(approx (/ -1/2 (* (log alpha) (PI))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
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#s(approx (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)))))))
#s(approx (/ 1 (* (log alpha) (PI))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))))
#s(approx (- (* (+ (* (/ (* (pow (* alpha cosTheta) 2) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (+ (* (* cosTheta cosTheta) -1) 1)) -1) (- (* (/ 1/2 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))) (* (/ -1/2 (* (log alpha) (PI))) (/ (* cosTheta cosTheta) (pow (+ (* (* cosTheta cosTheta) -1) 1) 2))))) (* alpha alpha)) (* -1/2 (* (/ 1 (* (log alpha) (PI))) (/ 1 (+ (* (* cosTheta cosTheta) -1) 1))))) (/.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 (log.f32 alpha) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)))))))
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#s(approx (/ (+ alpha 1) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (/ (+ alpha 1) (PI)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)))
#s(approx (+ alpha 1) #s(literal 1 binary32))
#s(approx (+ alpha 1) (+.f32 #s(literal 1 binary32) alpha))
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#s(approx (- alpha 1) #s(literal -1 binary32))
#s(approx (- alpha 1) (-.f32 alpha #s(literal 1 binary32)))
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#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
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#s(approx (log (pow (pow alpha (PI)) 2)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))))
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#s(approx (* (+ (* (/ (* cosTheta cosTheta) alpha) (/ -1 alpha)) (+ (* cosTheta cosTheta) (pow alpha -2))) (* alpha alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta))))
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#s(approx (/ -1 alpha) (/.f32 #s(literal -1 binary32) alpha))
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#s(approx (pow alpha -2) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
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#s(approx (/ (- (pow (* alpha alpha) 3) 1) (+ (* (* alpha alpha) (* alpha alpha)) (+ 1 (* (* alpha alpha) 1)))) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (- (pow (* alpha alpha) 3) 1) #s(literal -1 binary32))
#s(approx (- (pow (* alpha alpha) 3) 1) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))
#s(approx (pow (* alpha alpha) 3) (pow.f32 alpha #s(literal 6 binary32)))
#s(approx (+ (* (* alpha alpha) (* alpha alpha)) (+ 1 (* (* alpha alpha) 1))) #s(literal 1 binary32))
#s(approx (+ (* (* alpha alpha) (* alpha alpha)) (+ 1 (* (* alpha alpha) 1))) (+.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))
#s(approx (+ (* (* alpha alpha) (* alpha alpha)) (+ 1 (* (* alpha alpha) 1))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))))
#s(approx (+ 1 (* (* alpha alpha) 1)) #s(literal 1 binary32))
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#s(approx (* (* alpha alpha) 1) (*.f32 alpha alpha))
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#s(approx (pow alpha (PI)) (pow.f32 alpha (PI.f32)))
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#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
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#s(literal -1 binary32) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (.f32 cosTheta cosTheta))))) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (log.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))))) (log.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 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#s(literal -1 binary32))))))))))) (/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))) (.f32 (.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))) #s(literal 1 binary32))) (.f32 (.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))) (.f32 (pow.f32 alpha #s(literal 4 binary32)) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))))))))
#s(approx (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (.f32 cosTheta cosTheta)))))
#s(approx (+ (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (.f32 (.f32 alpha alpha) (fma.f32 #s(literal -1 binary32) (/.f32 (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (log.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))))) (/.f32 (log.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))))) (*.f32 alpha alpha))))))
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#s(approx (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (.f32 cosTheta cosTheta)))))
#s(approx (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (.f32 (.f32 alpha alpha) (fma.f32 #s(literal -1 binary32) (/.f32 (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (.f32 cosTheta cosTheta))) (.f32 alpha alpha)) (log.f32 (pow.f32 (.f32 (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32))))) (pow.f32 (exp.f32 (PI.f32)) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) #s(literal -1 binary32)))))) (*.f32 cosTheta cosTheta))))))

eval716.0ms (8.1%)

Memory: -13.1MiB live, 1 024.1MiB allocated; 232ms collecting garbage
Compiler: Compiled 646 109 to 10 073 computations (98.4% saved)

prune1.3s (14.6%)

Memory

15.3MiB live, 2 034.4MiB allocated; 247ms collecting garbage

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	2 435	1	2 436
Fresh	1	2	3
Picked	0	5	5
Done	0	1	1
Total	2 436	9	2 445

Accuracy

100.0%

Counts

2 445 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.2%	(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
✓	98.4%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (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 (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)))) #s(literal 1 binary32))) (.f32 (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)))) (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))))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (+.f32 (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))))
✓	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 alpha alpha)))))
✓	98.5%	(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
✓	98.0%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	95.6%	(.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 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))))
▶	98.0%	#s(approx (/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))))
✓	98.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))))

Compiler

Compiled 885 to 238 computations (73.1% saved)

series456.0ms (5.2%)

Memory

16.5MiB live, 472.2MiB allocated; 117ms collecting garbage

Counts

55 → 384

Calls

Call 1

Inputs
#s(approx (/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))))
(.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))))
(*.f32 alpha alpha)
alpha
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
#s(literal 1 binary32)
(.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha)))
#s(literal 2 binary32)
(*.f32 (PI.f32) (log.f32 alpha))
(PI.f32)
(log.f32 alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))
(.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
(*.f32 cosTheta cosTheta)
cosTheta
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))
(.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 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))))
#s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) alpha))))))
(.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) alpha)))))
(+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) alpha))))
(/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32)))))
(log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))
(exp.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))
(.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha))))
#s(literal -1 binary32)
(*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))
(-.f32 #s(literal 0 binary32) (log.f32 alpha))
#s(literal 0 binary32)
(/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) alpha)))
(log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))) alpha))
(pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 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 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 (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))))
(+.f32 (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 3 binary32)))
(pow.f32 (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))
(*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))
(log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))
(pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))
(pow.f32 alpha (PI.f32))
#s(literal 3 binary32)
(pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 3 binary32))
(.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))
(+.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))
(.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(-.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
(.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))
(.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))

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

6 calls:

Time	Variable		Point	Expression
128.0ms	cosTheta	@	0	((/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (* (* alpha alpha) (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))))) (* alpha alpha) alpha (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))))) (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* 2 (* (PI) (log alpha))) 2 (* (PI) (log alpha)) (PI) (log alpha) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta cosTheta) cosTheta (- (* alpha alpha) 1) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))) (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (* alpha (+ (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha))))) (+ (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha)))) (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2))) (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) (* (* -1 (* (PI) (- 0 (log alpha)))) 2) (* -1 (* (PI) (- 0 (log alpha)))) -1 (* (PI) (- 0 (log alpha))) (- 0 (log alpha)) 0 (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha))) (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha)) (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (/ (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (+ (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))))) (/ (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (+ (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))))) (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (* (log (pow (pow alpha (PI)) 2)) 1) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 3 (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (+ (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))
115.0ms	alpha	@	-inf	((/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (* (* alpha alpha) (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))))) (* alpha alpha) alpha (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))))) (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* 2 (* (PI) (log alpha))) 2 (* (PI) (log alpha)) (PI) (log alpha) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta cosTheta) cosTheta (- (* alpha alpha) 1) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))) (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (* alpha (+ (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha))))) (+ (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha)))) (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2))) (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) (* (* -1 (* (PI) (- 0 (log alpha)))) 2) (* -1 (* (PI) (- 0 (log alpha)))) -1 (* (PI) (- 0 (log alpha))) (- 0 (log alpha)) 0 (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha))) (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha)) (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (/ (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (+ (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))))) (/ (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (+ (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))))) (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (* (log (pow (pow alpha (PI)) 2)) 1) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 3 (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (+ (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))
58.0ms	alpha	@	inf	((/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (* (* alpha alpha) (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))))) (* alpha alpha) alpha (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))))) (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* 2 (* (PI) (log alpha))) 2 (* (PI) (log alpha)) (PI) (log alpha) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta cosTheta) cosTheta (- (* alpha alpha) 1) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))) (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (* alpha (+ (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha))))) (+ (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha)))) (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2))) (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) (* (* -1 (* (PI) (- 0 (log alpha)))) 2) (* -1 (* (PI) (- 0 (log alpha)))) -1 (* (PI) (- 0 (log alpha))) (- 0 (log alpha)) 0 (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha))) (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha)) (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (/ (- (* alpha alpha) 1) (/ (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (+ (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))))) (/ (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (+ (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) 1)) (- (* (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* (* (log (pow (pow alpha (PI)) 2)) 1) (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))))) (+ (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) 3)) (pow (* (log (pow (pow alpha (PI)) 2)) 1) 3) (* (log (pow (pow alpha (PI)) 2)) 1) (log (pow (pow alpha (PI)) 2)) (pow (pow alpha (PI)) 2) (pow alpha (PI)) 3 (pow (* (log (pow (pow alpha (PI)) 2)) (* (* cosTheta cosTheta) (- (* 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51.0ms	cosTheta	@	inf	((/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (* (* alpha alpha) (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))))) (* alpha alpha) alpha (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))))) (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))) (* 2 (* (PI) (log alpha))) 2 (* (PI) (log alpha)) (PI) (log alpha) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))) (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) (* cosTheta cosTheta) cosTheta (- (* alpha alpha) 1) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))) (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (* (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (* alpha (+ (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha))))) (+ (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)))) (/ 1 (log (pow (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 2)) alpha)))) (/ 1 (log (exp (* (* -1 (* (PI) (- 0 (log alpha)))) 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43.0ms	alpha	@	0	((/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (* (* alpha alpha) (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1)))))))) (* alpha alpha) alpha (- (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) (/ 1 (* (* alpha alpha) (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))))) (/ 1 (* (* 2 (* (PI) (log alpha))) (+ 1 (* (* cosTheta cosTheta) (- (* alpha alpha) 1))))) 1 (* (* 2 (* (PI) (log 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rewrite411.0ms (4.6%)

Memory

-16.8MiB live, 543.8MiB allocated; 118ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2174	44029
0	2287	40281
0	8669	39582

Stop Event

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

Counts

439 → 522

Calls

Call 1

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

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

eval500.0ms (5.6%)

Memory: -2.6MiB live, 355.6MiB allocated; 745ms collecting garbage
Compiler: Compiled 149 516 to 5 467 computations (96.3% saved)

prune548.0ms (6.2%)

Memory

5.4MiB live, 891.9MiB allocated; 123ms collecting garbage

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	1 039	0	1 039
Fresh	0	0	0
Picked	0	3	3
Done	0	6	6
Total	1 039	9	1 048

Accuracy

100.0%

Counts

1 048 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.2%	(/.f32 (/.f32 (-.f32 (pow.f32 (.f32 alpha alpha) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) (.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (fma.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))
✓	98.4%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (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 (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)))) #s(literal 1 binary32))) (.f32 (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)))) (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))))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (+.f32 (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))))))
✓	98.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 alpha alpha)))))
✓	98.5%	(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
✓	98.0%	(.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))))
✓	95.6%	(.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 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))))
✓	98.0%	#s(approx (/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))))
✓	98.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))))

Compiler

Compiled 2 206 to 438 computations (80.1% saved)

regimes25.0ms (0.3%)

Memory

18.1MiB live, 64.3MiB allocated; 2ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

7.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms	cosTheta
5.0ms	alpha
5.0ms	(*.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 29 to 20 computations (31% saved)

regimes39.0ms (0.4%)

Memory

-6.7MiB live, 47.4MiB allocated; 29ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
#s(approx (/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))))
(.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 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 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (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)) (log.f32 (pow.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))))
(.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)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(.f32 (/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (.f32 alpha #s(literal 1 binary32))))) (log.f32 (pow.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))))
(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 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 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (/.f32 #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 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 alpha alpha)))))
(/.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 alpha alpha) #s(literal 1 binary32)) (/.f32 (+.f32 (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (.f32 (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.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))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Calls

4 calls:

25.0ms	cosTheta
4.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
4.0ms	alpha
4.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 alpha alpha)`
98.5%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.5%	1	`cosTheta`
98.5%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes17.0ms (0.2%)

Memory

-1.7MiB live, 45.0MiB allocated; 2ms collecting garbage

Counts

12 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
#s(approx (/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))))
(.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 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 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (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)) (log.f32 (pow.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))))
(.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)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(.f32 (/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (.f32 alpha #s(literal 1 binary32))))) (log.f32 (pow.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))))
(-.f32 (/.f32 (/.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (.f32 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 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (/.f32 #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 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) alpha) (/.f32 #s(literal -1 binary32) alpha) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (*.f32 alpha alpha)))))

Outputs

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

Calls

4 calls:

5.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
4.0ms	cosTheta
4.0ms	(*.f32 alpha alpha)
4.0ms	alpha

Results

Accuracy	Segments	Branch
98.5%	1	`(*.f32 alpha alpha)`
98.5%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.5%	1	`cosTheta`
98.5%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes14.0ms (0.2%)

Memory

-9.8MiB live, 36.3MiB allocated; 3ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))) (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 (.f32 cosTheta cosTheta) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha)) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32)) (pow.f32 (.f32 alpha cosTheta) #s(literal 1 binary32))) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32))) #s(literal -1 binary32) (-.f32 (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 alpha alpha) (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (log.f32 alpha) (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)))))))
#s(approx (/ (- (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))))) (.f32 (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 (PI.f32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))))
(.f32 #s(approx (/ (+ alpha 1) (log (pow (pow alpha (PI)) 2))) (.f32 alpha (+.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (exp.f32 (.f32 (.f32 #s(literal -1 binary32) (.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (log.f32 alpha)))) #s(literal 2 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 (+.f32 alpha #s(literal 1 binary32)) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 (.f32 alpha alpha)) (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)) (log.f32 (pow.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))))
(.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)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
(.f32 (/.f32 (/.f32 (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) (.f32 alpha #s(literal 1 binary32))))) (log.f32 (pow.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))))

Outputs

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

Calls

4 calls:

5.0ms	(*.f32 alpha 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	alpha
3.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes5.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

simplify40.0ms (0.4%)

Memory

11.1MiB live, 57.3MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	580
1	133	580
2	343	580
3	1463	580

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations106.0ms (1.2%)

Memory

-27.5MiB live, 115.3MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 580 to 81 computations (86% saved)

preprocess45.0ms (0.5%)

Memory

29.4MiB live, 124.9MiB allocated; 9ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 448 to 308 computations (78.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze98.0ms (1.1%)

sample1.4s (16.2%)

explain165.0ms (1.9%)

preprocess218.0ms (2.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series120.0ms (1.3%)

rewrite233.0ms (2.6%)

eval25.0ms (0.3%)

prune77.0ms (0.9%)

series382.0ms (4.3%)

rewrite255.0ms (2.9%)

eval234.0ms (2.6%)

prune375.0ms (4.2%)

series610.0ms (6.9%)

rewrite418.0ms (4.7%)

eval716.0ms (8.1%)

prune1.3s (14.6%)

series456.0ms (5.2%)

rewrite411.0ms (4.6%)

eval500.0ms (5.6%)

prune548.0ms (6.2%)

regimes25.0ms (0.3%)

regimes39.0ms (0.4%)

regimes17.0ms (0.2%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

simplify40.0ms (0.4%)

derivations106.0ms (1.2%)

preprocess45.0ms (0.5%)

end0.0ms (0%)

Profiling