Metrics for GTR1 distribution

start0.0ms (0%)

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

analyze60.0ms (0.4%)

Memory

29.5MiB live, 75.3MiB allocated; 7ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

sample3.0s (19%)

Memory

-5.5MiB live, 1 812.1MiB allocated; 420ms collecting garbage

Samples

2.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-mult: 698.0ms (33.8% of total)

ival-<=: 675.0ms (32.7% of total)

const: 235.0ms (11.4% of total)

ival-log: 203.0ms (9.8% of total)

ival-div: 75.0ms (3.6% of total)

ival-sub: 60.0ms (2.9% of total)

ival-add: 41.0ms (2% of total)

ival-pi: 37.0ms (1.8% of total)

ival-and: 26.0ms (1.3% of total)

exact: 12.0ms (0.6% of total)

adjust: 3.0ms (0.1% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain165.0ms (1%)

Memory

6.9MiB live, 300.9MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
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)))`
1	(2.514994841185737e-22 0.996573805809021)	-	`(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))`
0	-	-	`(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)`
1	(2.514994841185737e-22 0.996573805809021)	-	`(log.f32 (*.f32 alpha alpha))`
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	1

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	1	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

51.0ms

512×

valid

Compiler

Compiled 210 to 43 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 16.0ms (45.3% of total)

ival-log: 8.0ms (22.6% of total)

ival-div: 4.0ms (11.3% of total)

ival-add: 3.0ms (8.5% of total)

ival-sub: 3.0ms (8.5% of total)

ival-pi: 2.0ms (5.7% 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)

preprocess126.0ms (0.8%)

Memory

-13.6MiB live, 79.0MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	122
1	161	122
2	607	122
3	3541	120
0	17	30
0	26	30
1	28	30
2	31	30
3	39	30
4	65	30
5	202	30
6	1443	30
7	4421	30
0	8092	30

Stop Event

1×	saturated
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))))

Symmetry

(abs alpha)

(abs cosTheta)

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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.6%

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

simplify544.0ms (3.5%)

Memory

-0.9MiB live, 46.2MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	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)))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	113
0	26	113
1	28	113
2	31	113
3	39	113
4	65	113
5	202	113
6	1443	113
7	4421	113
0	8092	113

Stop Event

1×	saturated
1×	node limit
1×	iter 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))))
(-.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
(/.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

localize56.0ms (0.4%)

Memory

4.3MiB live, 47.6MiB allocated; 6ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.1875	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28353500976844204	(/.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))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

47.0ms

256×

valid

Compiler

Compiled 93 to 15 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (49.3% of total)

ival-log: 3.0ms (18.5% of total)

ival-div: 2.0ms (12.3% of total)

ival-pi: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% 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)

series96.0ms (0.6%)

Memory

14.6MiB live, 106.3MiB allocated; 8ms collecting garbage

Counts

7 → 48

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

Calls

6 calls:

Time	Variable		Point	Expression
29.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
28.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
14.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) 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) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
7.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))

simplify492.0ms (3.1%)

Memory

1.5MiB live, 193.2MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	320	2523
1	825	2466
2	3829	2344
0	8560	2323
1	11188	2304
2	16591	2302
3	20212	2302
4	21617	2302
5	21887	2302
6	21924	2302
7	21926	2302

Stop Event

1×	saturated
1×	node limit

Counts

48 → 22

Calls

Call 1

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

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

rewrite96.0ms (0.6%)

Memory

7.9MiB live, 105.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	88
1	26	88
2	28	88
3	32	88
4	36	88
5	38	84
6	40	84
7	42	82
8	44	82
0	44	82
1	122	82
0	877	79
1	1200	79
2	1723	79
3	2079	79
4	2155	79
5	2188	79
6	2191	79

Stop Event

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

Counts

7 → 130

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)
(.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)))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)

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

eval20.0ms (0.1%)

Memory: 3.5MiB live, 49.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 192 to 774 computations (87.5% saved)

prune17.0ms (0.1%)

Memory

-5.7MiB live, 41.3MiB allocated; 3ms collecting garbage

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	179	20	199
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	20	200

Accuracy

100.0%

Counts

200 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha (fma.f32 alpha alpha #s(literal 1 binary32)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.4%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.9%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
	98.5%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
	98.1%	(/.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 alpha alpha)) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 alpha alpha) alpha) alpha (fma.f32 alpha alpha #s(literal 1 binary32))))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))))
	98.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (cbrt.f32 (.f32 (PI.f32) (PI.f32)))) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (cbrt.f32 (.f32 (PI.f32) (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	43.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (fma.f32 (.f32 (log.f32 (.f32 alpha alpha)) (/.f32 (PI.f32) (.f32 cosTheta cosTheta))) (.f32 cosTheta cosTheta) (.f32 (.f32 (fma.f32 (.f32 cosTheta alpha) alpha (neg.f32 cosTheta)) cosTheta) (.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))))
▶	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	98.2%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(-.f32 (/.f32 (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	98.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
▶	98.3%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))

Compiler

Compiled 1 258 to 666 computations (47.1% saved)

simplify55.0ms (0.3%)

Memory

6.2MiB live, 56.4MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
cost-diff	0	(+.f32 #s(literal 1 binary32) alpha)
cost-diff	0	(/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
cost-diff	0	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
cost-diff	0	(.f32 (.f32 (*.f32 alpha alpha) alpha) alpha)
cost-diff	0	(-.f32 (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32))
cost-diff	0	(/.f32 (-.f32 (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
cost-diff	0	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
cost-diff	0	(+.f32 #s(literal 1 binary32) alpha)
cost-diff	0	(-.f32 alpha #s(literal 1 binary32))
cost-diff	0	(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
cost-diff	0	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
cost-diff	0	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
cost-diff	0	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	606
0	55	606
1	82	606
2	187	606
3	741	606
4	4415	606
0	8341	606

Stop Event

1×	saturated
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize456.0ms (2.9%)

Memory

5.5MiB live, 194.7MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
accuracy	0.28125	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
accuracy	0.42025375976844204	(/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))
accuracy	3.0796548545041826	(pow.f32 (*.f32 alpha alpha) (PI.f32))
accuracy	0.26953125	(.f32 (.f32 alpha alpha) alpha)
accuracy	0.28353500976844204	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.502285009768442	(/.f32 (-.f32 (.f32 (.f32 (*.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))
accuracy	0.1875	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28353500976844204	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.38509750976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.4375	(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
accuracy	0.08726503907376806	(log.f32 (*.f32 alpha alpha))
accuracy	0.28353500976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
accuracy	0.38509750976844204	(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
accuracy	1.3848524390896242	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
accuracy	0.03175501178494128	(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
accuracy	0.037441259768442016	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
accuracy	0.27181625976844204	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
accuracy	3.0796548545041826	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Samples

390.0ms	251×	0	valid
32.0ms	5×	1	valid

Compiler

Compiled 485 to 36 computations (92.6% saved)

Precisions

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

ival-mult: 338.0ms (90.5% of total)

ival-div: 13.0ms (3.5% of total)

ival-log: 7.0ms (1.9% of total)

ival-add: 5.0ms (1.3% of total)

ival-pow: 5.0ms (1.3% of total)

ival-sub: 4.0ms (1.1% of total)

ival-pi: 1.0ms (0.3% 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)

series759.0ms (4.8%)

Memory

3.8MiB live, 309.6MiB allocated; 118ms collecting garbage

Counts

24 → 198

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
534.0ms	cosTheta	@	0	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (/ (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (- (* (* (* alpha alpha) alpha) alpha) 1) (* (* (* alpha alpha) alpha) alpha) (* (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* alpha alpha) alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))
141.0ms	alpha	@	inf	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (/ (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (- (* (* (* alpha alpha) alpha) alpha) 1) (* (* (* alpha alpha) alpha) alpha) (* (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* alpha alpha) alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))
31.0ms	alpha	@	0	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (/ (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (- (* (* (* alpha alpha) alpha) alpha) 1) (* (* (* alpha alpha) alpha) alpha) (* (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* alpha alpha) alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))
20.0ms	alpha	@	-inf	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (/ (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (- (* (* (* alpha alpha) alpha) alpha) 1) (* (* (* alpha alpha) alpha) alpha) (* (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* alpha alpha) alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))
11.0ms	cosTheta	@	inf	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (/ (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (* (* (* alpha alpha) alpha) alpha) 1) (+ (* alpha alpha) 1)) (- (* (* (* alpha alpha) alpha) alpha) 1) (* (* (* alpha alpha) alpha) alpha) (* (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1))) (/ (+ 1 alpha) (log (pow (* alpha alpha) (PI)))) (log (pow (* alpha alpha) (PI))) (pow (* alpha alpha) (PI)) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* alpha alpha) alpha) (/ (- alpha 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)))

simplify551.0ms (3.5%)

Memory

2.7MiB live, 199.3MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1118	13013
1	2901	12292
0	8643	12270
1	10646	12247
2	15347	12242
3	18868	12242
4	20403	12242
5	20924	12242
6	21122	12242
7	21166	12242
8	21167	12242

Stop Event

1×	saturated
1×	node limit

Counts

198 → 28

Calls

Call 1

Inputs
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) #s(hole binary32 (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha 2) (PI)))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha 2) (PI))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI)))))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* -1 (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))) (pow alpha 2)) 1)))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (pow (- (pow alpha 2) 1) 2))) (pow alpha 2)) 1)))
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#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 (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (pow (- (pow alpha 2) 1) 2)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (* (+ 1 alpha) (- alpha 1)) (* (PI) (log (pow alpha 2)))))))
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Outputs
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow (* alpha alpha) (PI)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))))
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rewrite496.0ms (3.2%)

Memory

33.2MiB live, 313.5MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	357
1	55	357
2	64	353
3	72	349
4	83	341
5	92	333
6	99	333
7	100	329
8	104	329
0	104	301
1	306	297
2	2073	297
0	8497	282
1	10746	282
2	15200	282
3	18179	282
4	18949	282
5	19078	282
6	19082	282

Stop Event

1×	saturated
1×	node limit
1×	saturated

Counts

24 → 1 557

Calls

Call 1

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

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

eval326.0ms (2.1%)

Memory: -9.0MiB live, 535.0MiB allocated; 182ms collecting garbage
Compiler: Compiled 123 498 to 6 947 computations (94.4% saved)

prune72.0ms (0.5%)

Memory

39.0MiB live, 181.4MiB allocated; 15ms collecting garbage

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	2 368	29	2 397
Fresh	10	5	15
Picked	4	1	5
Done	0	0	0
Total	2 382	35	2 417

Accuracy

100.0%

Counts

2 417 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.9%	(/.f32 (fma.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.3%	(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.2%	(/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	63.2%	(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))))
	93.9%	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) alpha) (.f32 (fma.f32 alpha alpha alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (fma.f32 alpha alpha alpha) (+.f32 #s(literal 1 binary32) alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.1%	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	97.3%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))) (PI.f32))
	94.0%	(/.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) alpha) (-.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))) (-.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.6%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
▶	98.9%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))))
▶	98.5%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
	93.4%	(/.f32 (/.f32 (.f32 (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32)) (-.f32 (.f32 (.f32 alpha alpha) alpha) #s(literal 1 binary32))) (.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.0%	(/.f32 (/.f32 (.f32 (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.0%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 alpha alpha) alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	93.9%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	94.0%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.3%	(/.f32 (/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))
	61.1%	(/.f32 (/.f32 (neg.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (sqrt.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) (PI.f32))))
	94.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	96.8%	(/.f32 (.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)))
	97.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	94.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	61.2%	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	3.6%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.2%	(.f32 (/.f32 (+.f32 (/.f32 alpha (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	63.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))))))
	98.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))))

Compiler

Compiled 2 393 to 1 394 computations (41.7% saved)

simplify51.0ms (0.3%)

Memory

-3.3MiB live, 41.3MiB allocated; 5ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (*.f32 alpha alpha) alpha #s(literal 1 binary32)))
cost-diff	0	(/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
cost-diff	0	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
cost-diff	0	(/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha))
cost-diff	0	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
cost-diff	0	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
cost-diff	0	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)))
cost-diff	0	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	603
0	53	603
1	80	603
2	185	603
3	738	603
4	4421	603
0	8351	603

Stop Event

1×	saturated
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize218.0ms (1.4%)

Memory

-6.0MiB live, 150.6MiB allocated; 165ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3287887695368841	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (*.f32 alpha alpha) alpha #s(literal 1 binary32)))
accuracy	0.38509750976844204	(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
accuracy	0.51171875	(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)
accuracy	1.3848524390896242	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
accuracy	0.037441259768442016	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
accuracy	0.08726503907376806	(log.f32 (*.f32 alpha alpha))
accuracy	0.29296875	(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))
accuracy	0.37890625	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
accuracy	0.28353500976844204	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
accuracy	0.38509750976844204	(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
accuracy	0.5563851074528624	(/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha))
accuracy	1.3848524390896242	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
accuracy	0.28353500976844204	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
accuracy	0.38509750976844204	(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
accuracy	1.3848524390896242	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
accuracy	30.91124057082568	#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
accuracy	0.03175501178494128	(log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32))))
accuracy	0.037441259768442016	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
accuracy	0.27181625976844204	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))))
accuracy	3.0572373460759543	(pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))

Samples

187.0ms

256×

valid

Compiler

Compiled 472 to 39 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 129.0ms (77.3% of total)

ival-div: 17.0ms (10.2% of total)

ival-add: 7.0ms (4.2% of total)

ival-log: 5.0ms (3% of total)

ival-pow: 5.0ms (3% of total)

ival-sub: 2.0ms (1.2% of total)

ival-pi: 1.0ms (0.6% 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)

series754.0ms (4.8%)

Memory

6.9MiB live, 195.9MiB allocated; 34ms collecting garbage

Counts

20 → 182

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
616.0ms	cosTheta	@	0	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (pow alpha (+ (PI) (PI))) (log (pow alpha (+ (PI) (PI)))) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha))
63.0ms	alpha	@	-inf	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (pow alpha (+ (PI) (PI))) (log (pow alpha (+ (PI) (PI)))) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha))
29.0ms	alpha	@	0	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (pow alpha (+ (PI) (PI))) (log (pow alpha (+ (PI) (PI)))) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha))
27.0ms	alpha	@	inf	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (pow alpha (+ (PI) (PI))) (log (pow alpha (+ (PI) (PI)))) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha))
6.0ms	cosTheta	@	inf	((/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (- (* alpha alpha) 1) (* alpha alpha) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) (/ (- (* alpha alpha) 1) (PI)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (pow alpha (+ (PI) (PI))) (log (pow alpha (+ (PI) (PI)))) (* (log (* alpha alpha)) (PI)) (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha))

simplify849.0ms (5.4%)

Memory

2.9MiB live, 184.2MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	906	12424
1	2310	11873
0	8695	11855
1	10996	11827
2	15668	11825
3	19086	11825
4	21147	11825
5	21956	11825
6	22222	11825
7	22274	11825

Stop Event

1×	saturated
1×	node limit

Counts

182 → 20

Calls

Call 1

Inputs
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* -1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))))))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (pow alpha 2) 1)))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* -1 (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))) (pow alpha 2)) 1)))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (pow (- (pow alpha 2) 1) 2))) (pow alpha 2)) 1)))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4))) (* -1 (pow (- (pow alpha 2) 1) 3)))) (pow (- (pow alpha 2) 1) 2))) (pow alpha 2)) 1)))
#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 (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (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) (+ 1 alpha)) (+ 1 alpha)) (* (* (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) (+ 1 alpha)) (+ 1 alpha)) (* (* (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) (+ 1 alpha)) (+ 1 alpha)) (* (* (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 (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) #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)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) #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)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) #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 (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))))
#s(approx (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 2))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))))
#s(approx (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 3))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 2)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))))
#s(approx (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 4))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))) (* -1 (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 3)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha)))))))) (/ (* (+ 1 (pow alpha 3)) (pow (- (pow alpha 2) 1) 2)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 2) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- (+ 1 (pow alpha 2)) alpha))))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ 1 (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- 1 (/ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ 1 (/ 1 (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) #s(hole binary32 (/ (- (+ 1 (/ 1 (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 2)))) (+ (/ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 6) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))))
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(hole binary32 (* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2))))))
#s(approx (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (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) (+ 1 alpha)) (+ 1 alpha)) (* (* (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) (+ 1 alpha)) (+ 1 alpha)) (* (* (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))))
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Outputs
#s(approx (/ (/ (- (* alpha alpha) 1) (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1)) (log (pow alpha (+ (PI) (PI))))) #s(hole binary32 (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))
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#s(approx (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (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) (+ 1 alpha)) (+ 1 alpha)) (* (* (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) (+ 1 alpha)) #s(hole binary32 (* -1 (* (pow alpha 3) (- (* -1 (/ (- 1 (/ 1 alpha)) alpha)) 1)))))
#s(approx (* (- (* alpha alpha) 1) (+ 1 alpha)) #s(hole binary32 (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 alpha)) alpha))) alpha)) 1)))))
#s(approx (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) #s(hole binary32 (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))
#s(approx (/ (/ (- (* alpha alpha) 1) (PI)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) #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)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) #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)) (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha)))) #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) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (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) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (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) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (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) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (- (* 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 5))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 5) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ 1/2 (* (pow alpha 5) (* (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)))))) (/ (* (+ 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) (+ (* (* alpha alpha) alpha) 1)) #s(hole binary32 (* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) 1)))))
#s(approx (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) #s(hole binary32 (* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) (+ 1 (/ 1 (pow alpha 3))))))))
#s(approx (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) #s(hole binary32 (* -1 (* (pow alpha 5) (- (+ (* -1 (/ (- 1 (/ 1 (pow alpha 2))) (pow alpha 3))) (/ 1 (pow alpha 2))) 1)))))
#s(approx (pow alpha (+ (PI) (PI))) #s(hole binary32 (exp (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
#s(approx (log (pow alpha (+ (PI) (PI)))) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log (* alpha alpha)) (PI)) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (- (+ (* alpha alpha) 1) alpha) #s(hole binary32 (* (pow alpha 2) (+ 1 (* -1 (/ (- 1 (/ 1 alpha)) alpha))))))

rewrite545.0ms (3.5%)

Memory

10.0MiB live, 291.3MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	378
1	53	378
2	62	378
3	71	364
4	86	352
5	94	350
6	98	350
0	98	308
1	300	292
2	2383	256
0	9719	239
1	12147	239
2	16703	239
3	20018	239
4	21101	239
5	21305	239
6	21324	239
7	21325	239

Stop Event

1×	saturated
1×	node limit
1×	saturated

Counts

20 → 1 056

Calls

Call 1

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

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

eval288.0ms (1.8%)

Memory: -14.7MiB live, 274.9MiB allocated; 62ms collecting garbage
Compiler: Compiled 85 754 to 5 208 computations (93.9% saved)

prune56.0ms (0.4%)

Memory

-7.4MiB live, 129.9MiB allocated; 13ms collecting garbage

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1 502	9	1 511
Fresh	5	24	29
Picked	4	1	5
Done	0	1	1
Total	1 511	35	1 546

Accuracy

100.0%

Counts

1 546 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.9%	(/.f32 (fma.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.3%	(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.2%	(/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	63.2%	(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))))
	93.9%	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) alpha) (.f32 (fma.f32 alpha alpha alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) (.f32 (fma.f32 alpha alpha alpha) (+.f32 #s(literal 1 binary32) alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	94.1%	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	97.8%	(/.f32 (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 alpha alpha) alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha) (.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha))) (.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha))) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
	97.3%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))) (PI.f32))
	94.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
	98.6%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
	94.3%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(approx (/ ( (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (.f32 alpha alpha)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
	94.0%	(/.f32 (/.f32 (.f32 (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.0%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 alpha alpha) alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	93.8%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 alpha alpha alpha) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 alpha alpha)))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 alpha alpha alpha))))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	93.9%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
✓	94.0%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	93.9%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	93.6%	(/.f32 (/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	61.1%	(/.f32 (/.f32 (neg.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (sqrt.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) (PI.f32))))
	94.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	96.8%	(/.f32 (.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)))
	97.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	94.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.1%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
	61.2%	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
▶	18.5%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+.f32 (PI.f32) (PI.f32))))
	98.2%	(.f32 (/.f32 (+.f32 (/.f32 alpha (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))) (log.f32 (.f32 alpha alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))
	98.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))

Compiler

Compiled 2 506 to 1 429 computations (43% saved)

simplify72.0ms (0.5%)

Memory

1.6MiB live, 96.2MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (*.f32 alpha alpha) alpha #s(literal 1 binary32)))
cost-diff	0	(/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))
cost-diff	0	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))
cost-diff	0	(/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha))
cost-diff	0	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
cost-diff	0	(/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha))
cost-diff	0	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
cost-diff	0	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+.f32 (PI.f32) (PI.f32)))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
cost-diff	0	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+.f32 (PI.f32) (PI.f32))))
cost-diff	0	(.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32))
cost-diff	0	(*.f32 alpha alpha)
cost-diff	0	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cost-diff	0	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (PI.f32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	701
0	58	701
1	85	701
2	190	701
3	742	701
4	4428	701
0	8359	701

Stop Event

1×	saturated
1×	node limit
1×	iter limit

Calls

Call 1

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

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

localize309.0ms (2%)

Memory

-5.5MiB live, 178.9MiB allocated; 24ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3287887695368841	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (*.f32 alpha alpha) alpha #s(literal 1 binary32)))
accuracy	0.38509750976844204	(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
accuracy	0.51171875	(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)
accuracy	1.3848524390896242	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
accuracy	0.28353500976844204	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
accuracy	0.38509750976844204	(.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))
accuracy	0.5563851074528624	(/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha))
accuracy	1.3848524390896242	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
accuracy	0.28353500976844204	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
accuracy	0.38509750976844204	(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
accuracy	0.5563851074528624	(/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha))
accuracy	1.3848524390896242	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))))
accuracy	0.0	(PI.f32)
accuracy	0.28353500976844204	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+.f32 (PI.f32) (PI.f32))))
accuracy	30.91124057082568	#s(approx (- (* alpha alpha) 1) (*.f32 alpha alpha))
accuracy	31.026605633792705	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+.f32 (PI.f32) (PI.f32)))
accuracy	0.037441259768442016	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
accuracy	0.08726503907376806	(log.f32 (*.f32 alpha alpha))
accuracy	0.28353500976844204	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
accuracy	0.4030075195368841	(.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (PI.f32))

Samples

273.0ms

256×

valid

Compiler

Compiled 517 to 41 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 249.0ms

ival-add: 179.0ms (71.9% of total)

ival-div: 36.0ms (14.5% of total)

ival-mult: 24.0ms (9.6% of total)

ival-log: 5.0ms (2% of total)

ival-sub: 2.0ms (0.8% of total)

ival-pi: 1.0ms (0.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series168.0ms (1.1%)

Memory

1.1MiB live, 149.6MiB allocated; 50ms collecting garbage

Counts

23 → 184

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
80.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (log (* alpha alpha)) (PI) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (+ (PI) (PI)) (log alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (- (+ (* alpha alpha) 1) alpha))
30.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (log (* alpha alpha)) (PI) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (+ (PI) (PI)) (log alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (- (+ (* alpha alpha) 1) alpha))
18.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (log (* alpha alpha)) (PI) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (+ (PI) (PI)) (log alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (- (+ (* alpha alpha) 1) alpha))
6.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (log (* alpha alpha)) (PI) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (+ (PI) (PI)) (log alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (- (+ (* alpha alpha) 1) alpha))
5.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (* (- (* alpha alpha) 1) (+ 1 alpha)) (/ (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (log (* alpha alpha)) (PI) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (+ (PI) (PI)) (log alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (- (+ (* alpha alpha) 1) alpha))

simplify475.0ms (3%)

Memory

28.8MiB live, 158.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	862	13048
1	2298	12078
0	8874	12060
1	10977	12031
2	15422	12027
3	19097	12027
4	21468	12027
5	22495	12027
6	22777	12027
7	22820	12027

Stop Event

1×	saturated
1×	node limit

Counts

184 → 24

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) #s(hole binary32 (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) #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) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) #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) (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI))) #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 (* (* (+ (* (* cosTheta cosTheta) (- (* alpha alpha) 1)) 1) (log (* alpha alpha))) (PI)) #s(hole binary32 (* (PI) (log (pow alpha 2)))))
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Outputs
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#s(approx (/ (/ (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (* (* (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) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (- (* 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 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 3) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (pow alpha 3) (* (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) alpha) (- (* alpha alpha) 1)) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) alpha)) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* alpha (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* alpha (* (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)))))))) (* alpha (pow cosTheta 2)))))) (+ (* -1 (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))))) (pow alpha 3))) (/ 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) alpha) (- (* alpha alpha) 1)) #s(hole binary32 (* -1 (* (pow alpha 3) (- (* -1 (/ (- 1 (/ 1 alpha)) alpha)) 1)))))
#s(approx (+ (* (- (* alpha alpha) 1) alpha) (- (* alpha alpha) 1)) #s(hole binary32 (* -1 (* (pow alpha 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 alpha)) alpha))) alpha)) 1)))))
#s(approx (/ (/ (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (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) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (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) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (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) (+ (* (* alpha alpha) alpha) 1)) (* (+ 1 alpha) (- (+ (* alpha alpha) 1) alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(hole binary32 (- (+ (* -1 (/ (- (* 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 5))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 5) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ 1/2 (* (pow alpha 5) (* (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)))))) (/ (* (+ 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) (+ (* (* alpha alpha) alpha) 1)) #s(hole binary32 (* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) 1)))))
#s(approx (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) #s(hole binary32 (* -1 (* (pow alpha 5) (- (/ 1 (pow alpha 2)) (+ 1 (/ 1 (pow alpha 3))))))))
#s(approx (* (- (* alpha alpha) 1) (+ (* (* alpha alpha) alpha) 1)) #s(hole binary32 (* -1 (* (pow alpha 5) (- (+ (* -1 (/ (- 1 (/ 1 (pow alpha 2))) (pow alpha 3))) (/ 1 (pow alpha 2))) 1)))))
#s(approx (log (* alpha alpha)) #s(hole binary32 (* -2 (log (/ -1 alpha)))))
#s(approx (* (+ (PI) (PI)) (log alpha)) #s(hole binary32 (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
#s(approx (* (log (* alpha alpha)) (PI)) #s(hole binary32 (* -2 (* (PI) (log (/ -1 alpha))))))
#s(approx (- (+ (* alpha alpha) 1) alpha) #s(hole binary32 (* (pow alpha 2) (+ 1 (* -1 (/ (- 1 (/ 1 alpha)) alpha))))))

rewrite2.3s (14.9%)

Memory

-224.5MiB live, 328.4MiB allocated; 1.1s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	486
1	58	486
2	69	486
3	78	470
4	91	458
5	99	458
6	101	456
7	103	456
0	103	395
1	308	367
2	2420	313
0	10708	297
1	13227	297
2	18591	297
3	22764	297
4	24325	297
5	24696	297
6	24754	297

Stop Event

1×	saturated
1×	node limit
1×	saturated

Counts

23 → 1 541

Calls

Call 1

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

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

eval615.0ms (3.9%)

Memory: 42.9MiB live, 414.0MiB allocated; 75ms collecting garbage
Compiler: Compiled 127 302 to 6 676 computations (94.8% saved)

prune226.0ms (1.4%)

Memory

-21.4MiB live, 216.5MiB allocated; 18ms collecting garbage

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1 767	9	1 776
Fresh	4	24	28
Picked	1	4	5
Done	0	2	2
Total	1 772	39	1 811

Accuracy

100.0%

Counts

1 811 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.9%	(/.f32 (fma.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.3%	(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.2%	(/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	63.2%	(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (neg.f32 (PI.f32)) (log.f32 (.f32 alpha alpha))) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))))
	94.0%	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 alpha alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	94.1%	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (fma.f32 alpha (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.0%	(/.f32 (/.f32 (fma.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	97.8%	(/.f32 (/.f32 (/.f32 (fma.f32 (-.f32 (.f32 (.f32 alpha alpha) alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha) (.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha))) (.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha))) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
	97.3%	(/.f32 (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))) (PI.f32))
	94.3%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.4%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32)) (.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
	93.9%	(/.f32 (/.f32 (-.f32 (.f32 alpha (+.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	94.1%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	98.6%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))
	94.3%	(/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(approx (/ ( (- (* alpha alpha) 1) (+ 1 alpha)) (+ 1 alpha)) (.f32 alpha alpha)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))))
	94.0%	(/.f32 (/.f32 (.f32 (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.0%	(/.f32 (/.f32 (.f32 (fma.f32 alpha (-.f32 alpha #s(literal 1 binary32)) (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	94.0%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 (.f32 alpha alpha) alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	93.8%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 alpha alpha alpha) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) (.f32 alpha alpha)))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 alpha alpha alpha))))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
✓	93.9%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 (.f32 alpha alpha) alpha #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
✓	94.0%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
✓	93.9%	(/.f32 (/.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	93.6%	(/.f32 (/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	61.1%	(/.f32 (/.f32 (neg.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha) #s(literal 1 binary32))) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
✓	98.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha))) (PI.f32)))
	97.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	94.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (sqrt.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) (PI.f32))))
	94.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	94.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (log (* alpha alpha)) (PI)) (*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)))))
	96.8%	(/.f32 (.f32 (/.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) alpha)) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta) #s(literal 1 binary32)))
	97.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	94.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.1%	(/.f32 (.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32))) (.f32 (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))))
	61.2%	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
✓	18.5%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 alpha alpha)) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+.f32 (PI.f32) (PI.f32))))
	18.5%	(/.f32 #s(approx (- (* alpha alpha) 1) (sqrt.f32 (.f32 (.f32 (.f32 alpha alpha) alpha) alpha))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+.f32 (PI.f32) (PI.f32))))
	98.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))))

Compiler

Compiled 4 080 to 1 124 computations (72.5% saved)

regimes134.0ms (0.9%)

Memory

-16.1MiB live, 127.1MiB allocated; 9ms collecting garbage

Counts

68 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

78.0ms	alpha
17.0ms	(/.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))))
16.0ms	cosTheta
16.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes84.0ms (0.5%)

Memory

30.3MiB live, 76.7MiB allocated; 3ms collecting garbage

Counts

58 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

39.0ms	cosTheta
14.0ms	alpha
14.0ms	(/.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))))
14.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes252.0ms (1.6%)

Memory

-21.4MiB live, 74.0MiB allocated; 9ms collecting garbage

Counts

57 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

207.0ms	cosTheta
15.0ms	(*.f32 alpha alpha)
14.0ms	(/.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))))
13.0ms	alpha

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes58.0ms (0.4%)

Memory

12.6MiB live, 59.1MiB allocated; 1ms collecting garbage

Counts

56 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

15.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
13.0ms	(*.f32 alpha alpha)
13.0ms	cosTheta
13.0ms	alpha

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes19.0ms (0.1%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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	(*.f32 alpha alpha)
5.0ms	alpha
4.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes38.0ms (0.2%)

Memory

-20.0MiB live, 26.5MiB allocated; 2ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.5%	1	`(*.f32 alpha alpha)`
97.5%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
97.5%	1	`cosTheta`
97.5%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes11.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
94.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
94.4%	1	`(*.f32 alpha alpha)`
94.4%	1	`cosTheta`
94.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes34.0ms (0.2%)

Memory

-47.4MiB live, 12.0MiB allocated; 44ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

27.0ms	cosTheta
2.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
2.0ms	(*.f32 alpha alpha)
2.0ms	alpha

Results

Accuracy	Segments	Branch
94.4%	1	`cosTheta`
94.4%	1	`(*.f32 alpha alpha)`
94.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
94.4%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes7.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Accuracy

Total -4.8b remaining (-18.3%)

Threshold costs -4.8b (-18.3%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.5%	1	`cosTheta`
18.5%	1	`(*.f32 alpha alpha)`
18.5%	1	`alpha`
18.5%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify50.0ms (0.3%)

Memory

15.3MiB live, 61.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	289
1	102	289
2	212	289
3	779	289
4	5153	289

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations318.0ms (2%)

Memory

4.1MiB live, 318.9MiB allocated; 90ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 251 to 55 computations (78.1% saved)

preprocess360.0ms (2.3%)

Memory

26.4MiB live, 74.2MiB allocated; 9ms collecting garbage

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 734 to 232 computations (68.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze60.0ms (0.4%)

sample3.0s (19%)

explain165.0ms (1%)

preprocess126.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify544.0ms (3.5%)

localize56.0ms (0.4%)

series96.0ms (0.6%)

simplify492.0ms (3.1%)

rewrite96.0ms (0.6%)

eval20.0ms (0.1%)

prune17.0ms (0.1%)

simplify55.0ms (0.3%)

localize456.0ms (2.9%)

series759.0ms (4.8%)

simplify551.0ms (3.5%)

rewrite496.0ms (3.2%)

eval326.0ms (2.1%)

prune72.0ms (0.5%)

simplify51.0ms (0.3%)

localize218.0ms (1.4%)

series754.0ms (4.8%)

simplify849.0ms (5.4%)

rewrite545.0ms (3.5%)

eval288.0ms (1.8%)

prune56.0ms (0.4%)

simplify72.0ms (0.5%)

localize309.0ms (2%)

series168.0ms (1.1%)

simplify475.0ms (3%)

rewrite2.3s (14.9%)

eval615.0ms (3.9%)

prune226.0ms (1.4%)

regimes134.0ms (0.9%)

regimes84.0ms (0.5%)

regimes252.0ms (1.6%)

regimes58.0ms (0.4%)

regimes19.0ms (0.1%)

regimes38.0ms (0.2%)

regimes11.0ms (0.1%)

regimes34.0ms (0.2%)

regimes7.0ms (0%)

simplify50.0ms (0.3%)

derivations318.0ms (2%)

preprocess360.0ms (2.3%)

end0.0ms (0%)

Profiling