Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze51.0ms (0.2%)

Memory

-7.8MiB live, 25.0MiB allocated; 5ms 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)

sample994.0ms (4.2%)

Memory

-5.4MiB live, 515.9MiB allocated; 59ms collecting garbage

Samples

714.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 525.0ms

ival-mult: 249.0ms (47.4% of total)

ival-log: 86.0ms (16.4% of total)

ival-div: 56.0ms (10.7% of total)

ival-add: 41.0ms (7.8% of total)

ival-sub: 39.0ms (7.4% of total)

ival-pi: 36.0ms (6.9% of total)

exact: 8.0ms (1.5% of total)

const: 4.0ms (0.8% of total)

adjust: 3.0ms (0.6% of total)

ival-assert: 2.0ms (0.4% of total)

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

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

Bogosity

explain151.0ms (0.6%)

Memory

11.3MiB live, 107.1MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))`
1	-	-	`(log.f32 (*.f32 alpha alpha))`
0	-	-	`(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))`
0	-	-	`(PI.f32)`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`cosTheta`
0	-	-	`alpha`
0	-	-	`(/.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))))`
0	-	-	`(.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)))`
0	-	-	`(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)`
0	-	-	`(*.f32 alpha alpha)`
0	-	-	`(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)`
0	-	-	`(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (*.f32 alpha alpha))`	sensitivity	1	0
`-.f32`	`(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	0	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
2	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

49.0ms

512×

valid

Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 15.0ms (45.3% of total)

ival-log: 6.0ms (18.1% of total)

ival-div: 4.0ms (12.1% of total)

ival-sub: 3.0ms (9.1% of total)

ival-pi: 2.0ms (6% of total)

ival-add: 2.0ms (6% 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)

preprocess161.0ms (0.7%)

Memory

18.1MiB live, 63.5MiB allocated; 4ms 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 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (fma.f32 (*.f32 cosTheta (fma.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

0.4MiB live, 0.4MiB 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)

series86.0ms (0.4%)

Memory

-0.5MiB live, 51.1MiB allocated; 4ms 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
40.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
16.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) alpha 1 (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (* (- (* alpha alpha) 1) cosTheta) cosTheta)
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)
8.0ms	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)

rewrite156.0ms (0.7%)

Memory

-14.0MiB live, 77.3MiB allocated; 6ms 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)))
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(pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))
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(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
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(*.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)
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(/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32)))
(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))))
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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)))
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(PI.f32)
(log.f32 (*.f32 alpha alpha))
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(*.f32 #s(literal 2 binary32) (log.f32 alpha))
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(.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
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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))))
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#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)
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#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)))
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#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (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 (log.f32 alpha) (PI.f32)) (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 (fma.f32 (/.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (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 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (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 (log.f32 alpha) (PI.f32)) (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 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (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)))))) (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (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 alpha alpha) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (log.f32 alpha) (PI.f32)) (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 (log.f32 alpha) (PI.f32)) (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))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))))
#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) (neg.f32 (*.f32 cosTheta cosTheta)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha))))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (/.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 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (/.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 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)))))))
#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
#s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 #s(literal -2 binary32) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (/.f32 (.f32 (.f32 (neg.f32 (log.f32 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))) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))))
#s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))
#s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))
#s(approx (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (neg.f32 (.f32 cosTheta cosTheta)) (.f32 alpha alpha))) (.f32 alpha alpha)))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
#s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (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 cosTheta cosTheta)) (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 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32))))) (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 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (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 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))) #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (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 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (*.f32 (/.f32 (pow.f32 cosTheta #s(literal -2 binary32)) (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 (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (pow.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 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)))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)))) (pow.f32 cosTheta #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)))) #s(literal -2 binary32)))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (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))))

eval17.0ms (0.1%)

Memory: 19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 7 744 to 958 computations (87.6% saved)

prune316.0ms (1.3%)

Memory

-23.8MiB live, 121.6MiB allocated; 9ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	218	8	226
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	9	227

Accuracy

100.0%

Counts

227 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.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))))
▶	98.4%	(/.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))))))
✓	98.5%	(/.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))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (+.f32 (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 alpha alpha)) (.f32 cosTheta cosTheta)) (*.f32 alpha alpha)))))
	98.0%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.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))))
	98.2%	(-.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))))
	98.2%	(-.f32 (.f32 (/.f32 alpha (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #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))))))
	98.2%	(.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)))))
	98.1%	(.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))))

Compiler

Compiled 692 to 319 computations (53.9% saved)

series108.0ms (0.5%)

Memory

25.2MiB live, 71.1MiB allocated; 3ms collecting garbage

Counts

16 → 91

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)
(.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)))))

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)))))))
#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) (- (+ (* (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))))) (pow (log (pow (pow alpha 2) (PI))) 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)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (+ (* 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) 1))) (/ (* (+ (* 1/12 (* (log (pow (pow alpha 2) (PI))) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (- (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (log (pow (pow alpha 2) (PI))))) (pow (log (pow (pow alpha 2) (PI))) 4)))))) (+ (/ 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)))))))
#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) (- (+ (* (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))))) (pow (log (pow (pow alpha 2) (PI))) 2))) (* (pow cosTheta 2) (- (* 1/720 (/ (* (pow alpha 2) (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3)))))) (pow (log (pow (pow alpha 2) (PI))) 2))) (+ (* 1/720 (/ (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))) (pow (log (pow (pow alpha 2) (PI))) 2))) (+ (* 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))))) (pow (log (pow (pow alpha 2) (PI))) 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)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (+ (* 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) 1))) (/ (* (+ (* 1/12 (* (log (pow (pow alpha 2) (PI))) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (- (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (log (pow (pow alpha 2) (PI))))) (pow (log (pow (pow alpha 2) (PI))) 4))))) (- (pow alpha 2) 1))) (+ (/ (* (+ (* 1/360 (* (log (pow (pow alpha 2) (PI))) (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))))) (* 1/12 (* (log (pow (pow alpha 2) (PI))) (* (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (pow alpha 2) 1))))) (- (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (log (pow (pow alpha 2) (PI))))) (pow (log (pow (pow alpha 2) (PI))) 4)) (/ (* (+ (* 1/12 (* (log (pow (pow alpha 2) (PI))) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 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 (log (pow (pow alpha 2) (PI))) 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)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (+ (* 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) 1))) (/ (* (+ (* 1/12 (* (log (pow (pow alpha 2) (PI))) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (- (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (log (pow (pow alpha 2) (PI))))) (pow (log (pow (pow alpha 2) (PI))) 4)))))) (+ (/ 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)))))))
#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))))))
#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))) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (log (pow (pow alpha 2) (PI))))))
#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))))))
#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)))))) (* (pow cosTheta 2) (- (* 1/720 (* (pow alpha 2) (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))))) (* 1/720 (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))))))) (* 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))))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (* (pow alpha 2) (log (pow (pow alpha 2) (PI))))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (+ (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (* (pow alpha 2) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (+ (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow alpha 2) (* (pow cosTheta 2) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))))))) (* (pow alpha 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 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) (+ (* 1/720 (* (pow alpha 2) (* (pow cosTheta 2) (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3)))))))) (* 1/24 (* (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)))))))))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (* (pow cosTheta 2) (+ (* 1/720 (* (pow cosTheta 2) (+ (* -360 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (+ (* 120 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))) (* 240 (* (pow (log (pow (pow alpha 2) (PI))) 3) (pow (- (pow alpha 2) 1) 3))))))) (* 1/24 (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))))))))))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (pow (pow alpha 2) (PI))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* 1/2 (* (pow cosTheta 2) (* (pow (log (pow (pow alpha 2) (PI))) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))) (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (+ (* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (* (- (pow alpha 2) 1) (pow (pow alpha 2) (PI)))) (* (pow cosTheta 2) (+ (* 1/6 (* (pow cosTheta 2) (* (pow (log (pow (pow alpha 2) (PI))) 3) (* (pow (- (pow alpha 2) 1) 3) (pow (pow alpha 2) (PI)))))) (* 1/2 (* (pow (log (pow (pow alpha 2) (PI))) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))))))) (pow (pow alpha 2) (PI)))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(hole binary32 1))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(hole binary32 (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))
#s(approx (* cosTheta cosTheta) #s(hole binary32 (pow cosTheta 2)))
#s(approx cosTheta #s(hole binary32 cosTheta))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) #s(hole binary32 (log (pow (pow alpha 2) (PI)))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) #s(hole binary32 (+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (+ (* 1/24 (* (pow cosTheta 2) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))))))
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#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) #s(hole binary32 (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* (pow alpha 2) (+ (* 1/24 (* (pow alpha 2) (+ (* -48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))) (* 48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2))))))) (* 2 (* (pow cosTheta 2) (* (PI) (log alpha)))))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) #s(hole binary32 (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* (pow alpha 2) (+ (* 1/720 (* (pow alpha 2) (+ (* -2880 (* (pow cosTheta 6) (* (pow (PI) 3) (pow (log alpha) 3)))) (+ (* 960 (* (pow cosTheta 6) (* (pow (PI) 3) (pow (log alpha) 3)))) (* 1920 (* (pow cosTheta 6) (* (pow (PI) 3) (pow (log alpha) 3)))))))) (* 1/24 (+ (* -48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))) (* 48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))))))))))))
#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)))) #s(hole binary32 (* 4 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))
#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)))) #s(hole binary32 (+ (* 4 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (* 8 (* (pow alpha 2) (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log alpha) 2) (+ 1 (* -1 (pow cosTheta 2)))))))))))
#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)))) #s(hole binary32 (+ (* 4 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (* (pow alpha 2) (+ (* 8 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log alpha) 2) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (+ (* 1/6 (* (PI) (* (log alpha) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (* -48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))) (* 48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2))))))))) (* 4 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))))))))))
#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)))) #s(hole binary32 (+ (* 4 (* (pow (PI) 2) (* (pow (log alpha) 2) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (* (pow alpha 2) (+ (* 8 (* (pow cosTheta 2) (* (pow (PI) 2) (* (pow (log alpha) 2) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (+ (* 1/6 (* (PI) (* (log alpha) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (* -48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))) (* 48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2))))))))) (+ (* 4 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))) (* (pow alpha 2) (+ (* 1/180 (* (PI) (* (log alpha) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (* -2880 (* (pow cosTheta 6) (* (pow (PI) 3) (pow (log alpha) 3)))) (+ (* 960 (* (pow cosTheta 6) (* (pow (PI) 3) (pow (log alpha) 3)))) (* 1920 (* (pow cosTheta 6) (* (pow (PI) 3) (pow (log alpha) 3)))))))))) (* 1/6 (* (pow cosTheta 2) (* (PI) (* (log alpha) (+ (* -48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 2)))) (* 48 (* (pow cosTheta 4) (* (pow (PI) 2) (pow (log alpha) 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 alpha 2) (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))))
#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) (- (/ 1 (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))))) (/ 1 (* (pow alpha 2) (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))))))))))
#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))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))))
#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) (+ (* -1 (/ (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))) (pow alpha 2))) (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))))))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) #s(hole binary32 (* (pow alpha 2) (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))))
#s(approx (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) #s(hole binary32 (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (exp (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ 1 alpha)))))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(hole binary32 (* (pow alpha 2) (pow cosTheta 2))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(hole binary32 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (pow alpha 2)))
#s(approx (- (* alpha alpha) 1) #s(hole binary32 (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) #s(hole binary32 (* (log (pow (pow alpha 2) (PI))) (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))))))
#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)))) #s(hole binary32 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) 2))))
#s(approx (pow (* alpha alpha) (PI)) #s(hole binary32 (exp (* -2 (* (PI) (log (/ -1 alpha)))))))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	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)))))
22.0ms	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)))))
17.0ms	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) (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)))))
14.0ms	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)))))
10.0ms	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) (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)))))

rewrite207.0ms (0.9%)

Memory

14.1MiB live, 109.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	562	9772
0	591	7807
1	3566	7631
0	8176	7490

Stop Event

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

Counts

107 → 281

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

Outputs
(/.f32 (/.f32 (log.f32 (/.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(/.f32 (neg.f32 (log.f32 (/.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))))) (neg.f32 (pow.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 2 binary32))))
(/.f32 (log.f32 (/.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))) (pow.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 2 binary32)))
(-.f32 (/.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (pow.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (pow.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 2 binary32))))
(log.f32 (/.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 2 binary32))) (fma.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))))
(-.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(fma.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 alpha alpha) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 alpha (.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (.f32 (neg.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)))
(.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (*.f32 alpha alpha))
(.f32 alpha (.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 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)
(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 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(fabs.f32 (*.f32 alpha alpha))
(+.f32 (cosh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
(log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
(.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) (PI.f32) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(fma.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))))
(fma.f32 #s(literal 2 binary32) (.f32 (log.f32 alpha) (PI.f32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (PI.f32) (pow.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 (PI.f32) (.f32 (log.f32 alpha) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(+.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))
(+.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(.f32 (neg.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(.f32 (fabs.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (pow.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (pow.f32 (pow.f32 alpha (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (pow.f32 (neg.f32 alpha) (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (pow.f32 (neg.f32 alpha) (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(.f32 (pow.f32 (fabs.f32 alpha) (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (pow.f32 (fabs.f32 alpha) (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(.f32 (pow.f32 alpha (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (pow.f32 alpha (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32))))
(.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
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#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
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#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (.f32 (fma.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 #s(literal 1/24 binary32) (.f32 alpha alpha)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32)))) (*.f32 alpha alpha))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 #s(literal -2880 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) #s(literal 2880 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32)) #s(literal 1/24 binary32))) (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 alpha)) (PI.f32))) #s(literal 2 binary32) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (PI.f32) (PI.f32)))) (.f32 alpha alpha) (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 alpha))))) (.f32 alpha alpha) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (fma.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 alpha)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 4/3 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (.f32 #s(literal 2 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (pow.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 (PI.f32) (PI.f32))))) (.f32 alpha alpha))) (.f32 alpha alpha) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (.f32 cosTheta cosTheta) (+.f32 #s(literal -1 binary32) (.f32 alpha alpha)) #s(literal 1 binary32)))
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
#s(approx (- (* alpha alpha) 1) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (log.f32 alpha) (PI.f32))))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (.f32 (fma.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)) (.f32 (.f32 #s(literal 1/24 binary32) (.f32 alpha alpha)) (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32)))) (*.f32 alpha alpha))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 alpha alpha)) (fma.f32 (.f32 #s(literal -2880 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) #s(literal 2880 binary32))) (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32)) #s(literal 1/24 binary32))) (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (log.f32 alpha) (PI.f32)))) (.f32 alpha alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 (pow.f32 alpha (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 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 (pow.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 4 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)))) (fma.f32 (.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) #s(literal 8 binary32) (.f32 (pow.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 4 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)))) (fma.f32 (fma.f32 (.f32 #s(literal 8 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 alpha)) (.f32 (.f32 #s(literal 4 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)))) (.f32 alpha alpha))) (.f32 alpha alpha) (.f32 (pow.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 4 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)))) (fma.f32 (fma.f32 (.f32 #s(literal 8 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (PI.f32)) (.f32 (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 alpha)) (fma.f32 (.f32 #s(literal 4 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/180 binary32) (PI.f32)) (.f32 (.f32 (fma.f32 (.f32 #s(literal -2880 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 6 binary32))) #s(literal 2880 binary32))) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 alpha)) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) #s(literal 0 binary32)) (log.f32 alpha)) (PI.f32)))) (.f32 alpha alpha)))) (.f32 alpha alpha))) (.f32 alpha alpha) (.f32 (pow.f32 (.f32 (.f32 (log.f32 alpha) (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 4 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 (.f32 alpha alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #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 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (*.f32 alpha 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 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 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)) (.f32 (fma.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (neg.f32 (/.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (.f32 alpha alpha)))) (*.f32 alpha alpha)))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (.f32 (.f32 alpha alpha) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (pow.f32 (*.f32 cosTheta alpha) #s(literal 2 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) #s(literal -1 binary32) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (.f32 alpha alpha)))
#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
#s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.f32 alpha alpha)))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #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)))) (pow.f32 (.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) #s(literal 2 binary32)))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))

eval100.0ms (0.4%)

Memory: -6.7MiB live, 84.3MiB allocated; 7ms collecting garbage
Compiler: Compiled 79 159 to 3 035 computations (96.2% saved)

prune8.3s (34.8%)

Memory

23.4MiB live, 2 927.2MiB allocated; 139ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	887	2	889
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	891	7	898

Accuracy

100.0%

Counts

898 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(/.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 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (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 (.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 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))
✓	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))))
	98.0%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal -2 binary32))) (.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))))
	98.2%	(-.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))))
	98.2%	(-.f32 (.f32 (/.f32 alpha (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #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))))))
	98.2%	(.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)))))

Compiler

Compiled 638 to 249 computations (61% saved)

series232.0ms (1%)

Memory

-20.1MiB live, 314.7MiB allocated; 42ms collecting garbage

Counts

21 → 131

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

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))) (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)) (neg (* cosTheta cosTheta)))
48.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))) (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)) (neg (* cosTheta cosTheta)))
44.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))) (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)) (neg (* cosTheta cosTheta)))
23.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))) (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)) (neg (* cosTheta cosTheta)))
23.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))) (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)) (neg (* cosTheta cosTheta)))

rewrite235.0ms (1%)

Memory

13.9MiB live, 246.3MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	816	17720
0	861	14765
1	5177	14726
0	8106	14372

Stop Event

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

Counts

152 → 301

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

Outputs
(/.f32 (/.f32 (log.f32 (/.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (log.f32 (/.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))))) (neg.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))))))
(/.f32 (log.f32 (/.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))))))))
(-.f32 (/.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))) (/.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))))))))))
(log.f32 (/.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha))) #s(literal 2 binary32)) (pow.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) #s(literal 2 binary32))) (fma.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
(/.f32 (-.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha))) #s(literal 3 binary32)) (pow.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha))) #s(literal 2 binary32)) (+.f32 (pow.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) #s(literal 2 binary32)) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 alpha alpha))))))))
(-.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(fma.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (.f32 alpha alpha) (.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(fma.f32 alpha (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) alpha)) (.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(+.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha))) (.f32 (neg.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))))) #s(literal 1 binary32)))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (.f32 alpha alpha)))
(.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (.f32 alpha alpha) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (*.f32 alpha alpha))
(.f32 alpha (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) alpha)))
(*.f32 (pow.f32 alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 1 binary32)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(pow.f32 (pow.f32 alpha #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
(log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) #s(literal 1 binary32)))
(log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))
(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))
(.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) #s(literal 1 binary32))
(.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (.f32 (*.f32 (log.f32 alpha) (PI.f32)) (log.f32 (exp.f32 #s(literal 2 binary32)))))
(.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))))
(fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(fma.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))))
(fma.f32 #s(literal 1 binary32) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(+.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))))
(+.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) cosTheta) (.f32 cosTheta (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))
(.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (pow.f32 (pow.f32 (.f32 alpha alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (pow.f32 (pow.f32 alpha (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32))) (pow.f32 (pow.f32 alpha (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
(.f32 (pow.f32 (pow.f32 alpha #s(literal 1 binary32)) (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (pow.f32 (pow.f32 alpha #s(literal 1 binary32)) (.f32 (PI.f32) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
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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 (fma.f32 (.f32 #s(literal 1/24 binary32) (-.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (.f32 alpha alpha)) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)))) (.f32 cosTheta cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 alpha alpha))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
#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 (fma.f32 (-.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (-.f32 (.f32 (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal 360 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal -360 binary32))) (.f32 alpha alpha)) (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal 360 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal -360 binary32))))) (.f32 cosTheta cosTheta) (.f32 (.f32 #s(literal 1/24 binary32) (.f32 alpha alpha)) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 1/24 binary32))) (.f32 cosTheta cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 alpha alpha))) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (*.f32 alpha alpha)))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (.f32 (.f32 alpha alpha) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 cosTheta cosTheta)))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (fma.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32))) #s(literal 1/24 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 alpha alpha))) (.f32 cosTheta cosTheta) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (*.f32 alpha alpha))))
#s(approx (* (* alpha alpha) (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) (.f32 alpha alpha)) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal 360 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal -360 binary32)))) #s(literal 1/720 binary32))) (.f32 cosTheta cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 alpha alpha))) (.f32 cosTheta cosTheta) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 cosTheta cosTheta))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 cosTheta cosTheta)) (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal 360 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal -360 binary32))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 1/24 binary32))) (.f32 cosTheta cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (pow.f32 (*.f32 alpha alpha) (PI.f32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 cosTheta cosTheta) (pow.f32 (.f32 alpha alpha) (PI.f32))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 cosTheta cosTheta) (pow.f32 (*.f32 alpha alpha) (PI.f32))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) #s(literal 1 binary32))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta) #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) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (.f32 cosTheta cosTheta))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) (.f32 cosTheta cosTheta)) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/720 binary32) (.f32 cosTheta cosTheta)) (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal 360 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal -360 binary32))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 1/24 binary32))) (.f32 cosTheta cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (pow.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32)))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (fma.f32 (.f32 #s(literal 2 binary32) (.f32 cosTheta cosTheta)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (fma.f32 (fma.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/24 binary32))) (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -24 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal -12 binary32))) (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/24 binary32))) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)))) (.f32 cosTheta cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32))) (.f32 cosTheta cosTheta) (pow.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))
#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (fma.f32 (fma.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/24 binary32))) (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -24 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal -12 binary32))) (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/24 binary32))) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/720 binary32))) (fma.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1/2 binary32)))) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -720 binary32) (fma.f32 (/.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 720 binary32) (.f32 #s(literal 240 binary32) (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32))))) (fma.f32 #s(literal 1/24 binary32) (fma.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -24 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal -12 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/720 binary32))) (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal 360 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal -360 binary32)))))) (.f32 cosTheta cosTheta) (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32))) (.f32 cosTheta cosTheta) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))))
#s(approx (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
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#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
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#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32))
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#s(approx (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))) (fma.f32 (.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (.f32 (.f32 cosTheta cosTheta) (PI.f32))))) (log.f32 alpha)) (PI.f32))) #s(literal -2 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (.f32 (.f32 cosTheta cosTheta) (PI.f32)))))))
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#s(approx (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))) (fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (.f32 (.f32 cosTheta cosTheta) (PI.f32))))) (log.f32 alpha)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 alpha alpha)) (.f32 (.f32 (.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 cosTheta #s(literal 6 binary32))) (.f32 (.f32 #s(literal 2 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (.f32 (.f32 cosTheta cosTheta) (PI.f32)))))) (.f32 (PI.f32) (PI.f32))))) (.f32 alpha alpha))) (.f32 alpha alpha) (pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))))
#s(approx (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)) (*.f32 cosTheta cosTheta))
#s(approx (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)) (fma.f32 cosTheta cosTheta (neg.f32 (pow.f32 (*.f32 alpha cosTheta) #s(literal 2 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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 (.f32 alpha alpha) (log.f32 (exp.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))))
#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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (log.f32 (exp.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))) (/.f32 (pow.f32 alpha #s(literal -2 binary32)) (log.f32 (exp.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))))))) (.f32 alpha alpha)))
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#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) 1) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))
#s(approx (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))
#s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (pow.f32 (*.f32 alpha cosTheta) #s(literal 2 binary32)))
#s(approx (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (.f32 (fma.f32 (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) #s(literal -1 binary32) (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32)))) (.f32 alpha alpha)))
#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
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#s(approx (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (.f32 (log.f32 (exp.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))))
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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)) (* (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 (.f32 alpha alpha) (log.f32 (exp.f32 (-.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))))
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#s(approx (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))) (exp.f32 (-.f32 (log.f32 (pow.f32 (pow.f32 (/.f32 #s(literal -1 binary32) alpha) (PI.f32)) #s(literal -2 binary32))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))))

eval75.0ms (0.3%)

Memory: 21.3MiB live, 121.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 74 568 to 3 086 computations (95.9% saved)

prune4.9s (20.8%)

Memory

-21.7MiB live, 5 018.5MiB allocated; 123ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	718	4	722
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	721	8	729

Accuracy

100.0%

Counts

729 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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 (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32)))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))
	97.7%	(/.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 (/.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))
	98.2%	(/.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))) #s(approx ( (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (fma.f32 (fma.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/24 binary32))) (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -24 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal -12 binary32))) (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/24 binary32))) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/720 binary32))) (fma.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1/2 binary32)))) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -720 binary32) (fma.f32 (/.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 720 binary32) (.f32 #s(literal 240 binary32) (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32))))) (fma.f32 #s(literal 1/24 binary32) (fma.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -24 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal -12 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/720 binary32))) (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal 360 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal -360 binary32)))))) (.f32 cosTheta cosTheta) (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32))) (.f32 cosTheta cosTheta) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32)))))
✓	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))))
	98.2%	(-.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))))
	98.2%	(-.f32 (.f32 (/.f32 alpha (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #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))))))
	98.2%	(.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)))))
▶	98.5%	#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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 (/.f32 (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))

Compiler

Compiled 1 944 to 497 computations (74.4% saved)

series317.0ms (1.3%)

Memory

-11.9MiB live, 462.9MiB allocated; 23ms collecting garbage

Counts

28 → 157

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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 (/.f32 (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))))))
(-.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))))
(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (*.f32 alpha alpha))
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(pow.f32 (*.f32 alpha alpha) (PI.f32))
(*.f32 alpha alpha)
alpha
(PI.f32)
(+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))
#s(literal 1 binary32)
(-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))
(pow.f32 (*.f32 alpha cosTheta) #s(literal 2 binary32))
(*.f32 alpha cosTheta)
cosTheta
#s(literal 2 binary32)
(*.f32 cosTheta cosTheta)
(.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
(log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))
(/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))))
(exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
(.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
(-.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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 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)))))))
#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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (+ (* (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))))) (pow (log (pow (pow alpha 2) (PI))) 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)))) (pow (log (pow (pow alpha 2) (PI))) 2))) (+ (* 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) 1))) (/ (* (+ (* 1/24 (* (log (pow (pow alpha 2) (PI))) (+ (* -24 (/ (+ (* -1 (* (pow (log (pow (pow alpha 2) (PI))) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI))))) (* 1/2 (* (pow (log (pow (pow alpha 2) (PI))) 2) (* (pow (- (pow alpha 2) 1) 2) (pow (pow alpha 2) (PI)))))) (pow (pow alpha 2) (PI)))) (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (+ (* 1/24 (* (log (pow (pow alpha 2) (PI))) (+ (* -12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2))) (* 12 (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))))) (* (pow (log (pow (pow alpha 2) (PI))) 2) (pow (- (pow alpha 2) 1) 2)))) (- (* (pow alpha 2) (log (pow (pow alpha 2) (PI)))) (log (pow (pow alpha 2) (PI))))) (pow (log (pow (pow alpha 2) (PI))) 4)))))) (+ (/ 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
98.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/ (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* alpha alpha) alpha (PI) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)) (pow (* alpha cosTheta) 2) (* alpha cosTheta) cosTheta 2 (* cosTheta cosTheta) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI)))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))))) (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))) (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))) (* (neg cosTheta) cosTheta) (neg cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))) (- (* alpha alpha) 1))
46.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/ (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* alpha alpha) alpha (PI) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)) (pow (* alpha cosTheta) 2) (* alpha cosTheta) cosTheta 2 (* cosTheta cosTheta) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI)))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))))) (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))) (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))) (* (neg cosTheta) cosTheta) (neg cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))) (- (* alpha alpha) 1))
44.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/ (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* alpha alpha) alpha (PI) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)) (pow (* alpha cosTheta) 2) (* alpha cosTheta) cosTheta 2 (* cosTheta cosTheta) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI)))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))))) (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))) (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))) (* (neg cosTheta) cosTheta) (neg cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))) (- (* alpha alpha) 1))
40.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/ (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* alpha alpha) alpha (PI) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)) (pow (* alpha cosTheta) 2) (* alpha cosTheta) cosTheta 2 (* cosTheta cosTheta) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI)))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))))) (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))) (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))) (* (neg cosTheta) cosTheta) (neg cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))) (- (* alpha alpha) 1))
36.0ms	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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/ (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* alpha alpha) alpha (PI) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)) (pow (* alpha cosTheta) 2) (* alpha cosTheta) cosTheta 2 (* cosTheta cosTheta) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI)))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))))) (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))))) (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))) (* (neg cosTheta) cosTheta) (neg cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI)))) (- (* alpha alpha) 1))

rewrite279.0ms (1.2%)

Memory

30.5MiB live, 313.6MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1102	27165
0	1153	24023
1	6855	23972
0	8730	23526

Stop Event

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

Counts

185 → 300

Calls

Call 1

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

eval77.0ms (0.3%)

Memory: -0.7MiB live, 143.1MiB allocated; 9ms collecting garbage
Compiler: Compiled 121 100 to 3 482 computations (97.1% saved)

prune6.8s (28.7%)

Memory

26.7MiB live, 9 635.7MiB allocated; 353ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	590	4	594
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	593	9	602

Accuracy

100.0%

Counts

602 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	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 (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1 binary32)))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))
	97.7%	(/.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 (/.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))))))
✓	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))))
	98.2%	(-.f32 (.f32 (/.f32 alpha (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (/.f32 alpha (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #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))))))
	98.2%	(.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)))))
	98.4%	#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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 (/.f32 (/.f32 (-.f32 (log.f32 (pow.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (-.f32 (+.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))) (.f32 alpha alpha))) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (-.f32 (+.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta cosTheta))))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (pow.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))))) (-.f32 (+.f32 (pow.f32 (.f32 cosTheta alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))
	98.3%	#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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 (/.f32 (-.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))) (log.f32 (/.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))))) (.f32 #s(approx (+ 1 (- (pow ( alpha cosTheta) 2) (* cosTheta cosTheta))) (.f32 (-.f32 (fma.f32 cosTheta cosTheta (pow.f32 alpha #s(literal -2 binary32))) (/.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha))) (.f32 alpha alpha))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
	98.7%	#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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 #s(approx (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (fma.f32 (-.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (log.f32 (/.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (.f32 alpha alpha)) (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (.f32 alpha alpha))) (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))
	98.2%	#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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 #s(approx (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (fma.f32 (/.f32 (PI.f32) (.f32 alpha alpha)) (/.f32 (.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (log.f32 (exp.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))))) (/.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (log.f32 (exp.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))))))))) (.f32 (/.f32 (/.f32 (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (pow.f32 alpha #s(literal 4 binary32))) (log.f32 (exp.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))))) #s(literal 2 binary32))) (.f32 (/.f32 (/.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 alpha alpha)) (log.f32 (exp.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32))))))))) #s(literal -2 binary32))) (pow.f32 alpha #s(literal 4 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 alpha cosTheta) #s(literal 2 binary32)) (.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))

Compiler

Compiled 3 526 to 654 computations (81.5% saved)

regimes22.0ms (0.1%)

Memory

32.7MiB live, 32.7MiB allocated; 0ms collecting garbage

Accuracy

Total -1.0b remaining (-228.3%)

Threshold costs -1b (-228.3%)

Counts

19 → 1

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))))
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(/.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))) #s(approx ( (log (pow (pow (* alpha alpha) (PI)) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (log (/ (pow (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1)))))) (fma.f32 (fma.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/24 binary32))) (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -24 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal -12 binary32))) (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/24 binary32))) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/720 binary32))) (fma.f32 (/.f32 (fma.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 1/2 binary32)))) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -720 binary32) (fma.f32 (/.f32 (.f32 (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 720 binary32) (.f32 #s(literal 240 binary32) (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32))))) (fma.f32 #s(literal 1/24 binary32) (fma.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -1/2 binary32)) (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal -24 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal -12 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32)) #s(literal 0 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) #s(literal 1/720 binary32))) (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal 360 binary32) (.f32 (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 3 binary32)) #s(literal -360 binary32)))))) (.f32 cosTheta cosTheta) (pow.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) #s(literal 2 binary32))))) (.f32 cosTheta cosTheta) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32))) (.f32 cosTheta cosTheta) (pow.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) #s(literal 2 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 (* alpha alpha) (PI)) (pow (pow (* alpha alpha) (PI)) (* (neg (* cosTheta cosTheta)) (- (* alpha alpha) 1))))))) (/.f32 #s(approx (/ (- (* (* (log (pow (* alpha alpha) (PI))) (* alpha alpha)) (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta)))) (* (+ 1 (- (pow (* alpha cosTheta) 2) (* cosTheta cosTheta))) (log (pow (* alpha alpha) (PI))))) (log (/ (pow (* alpha alpha) (PI)) (exp (* (* (neg cosTheta) cosTheta) (* (- (* alpha alpha) 1) (log (pow (* alpha alpha) (PI))))))))) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (log.f32 (/.f32 (pow.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)) (*.f32 alpha alpha)) (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 2 binary32)))) (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 alpha cosTheta) #s(literal 2 binary32)) (*.f32 cosTheta cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))))

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

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

simplify47.0ms (0.2%)

Memory

2.1MiB live, 48.9MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	224
1	148	195
2	535	155
3	3521	150

Stop Event

1×	node limit

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

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

derivations103.0ms (0.4%)

Memory

-45.4MiB live, 51.3MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 226 to 67 computations (70.4% saved)

preprocess19.0ms (0.1%)

Memory

36.8MiB live, 36.8MiB allocated; 0ms collecting garbage

Remove

(abs alpha)

(abs cosTheta)

Compiler

Compiled 1 404 to 428 computations (69.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze51.0ms (0.2%)

sample994.0ms (4.2%)

explain151.0ms (0.6%)

preprocess161.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series86.0ms (0.4%)

rewrite156.0ms (0.7%)

eval17.0ms (0.1%)

prune316.0ms (1.3%)

series108.0ms (0.5%)

rewrite207.0ms (0.9%)

eval100.0ms (0.4%)

prune8.3s (34.8%)

series232.0ms (1%)

rewrite235.0ms (1%)

eval75.0ms (0.3%)

prune4.9s (20.8%)

series317.0ms (1.3%)

rewrite279.0ms (1.2%)

eval77.0ms (0.3%)

prune6.8s (28.7%)

regimes22.0ms (0.1%)

simplify47.0ms (0.2%)

derivations103.0ms (0.4%)

preprocess19.0ms (0.1%)

end0.0ms (0%)

Profiling