Metrics for GTR1 distribution

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze71.0ms (0.8%)

Memory

6.1MiB live, 147.3MiB allocated

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)

sample2.0s (23.8%)

Memory

-295.9MiB live, 3 027.8MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 941.0ms

ival-mult: 332.0ms (35.3% of total)

const: 154.0ms (16.4% of total)

ival-log: 147.0ms (15.6% of total)

ival-<=: 85.0ms (9% of total)

ival-div: 67.0ms (7.1% of total)

ival-add: 45.0ms (4.8% of total)

ival-sub: 38.0ms (4% of total)

ival-pi: 34.0ms (3.6% of total)

ival-and: 25.0ms (2.7% of total)

exact: 10.0ms (1.1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain178.0ms (2.1%)

Memory

-46.0MiB live, 490.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(6.521490311435087e-39 0.9895574450492859)	`(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))`
1	-	1	(6.521490311435087e-39 0.9895574450492859)	`(log.f32 (*.f32 alpha alpha))`
0	-	0	-	`(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))`
0	-	0	-	`(PI.f32)`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`cosTheta`
0	-	0	-	`alpha`
0	-	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	-	0	-	`(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))`
0	-	0	-	`(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)`
0	-	0	-	`(*.f32 alpha alpha)`
0	-	0	-	`(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)`
0	-	0	-	`(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

54.0ms

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: 18.0ms (51.2% of total)

ival-log: 6.0ms (17.1% of total)

ival-div: 4.0ms (11.4% of total)

ival-pi: 2.0ms (5.7% of total)

ival-add: 2.0ms (5.7% of total)

ival-sub: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess125.0ms (1.5%)

Memory

20.0MiB live, 208.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	122
1	152	122
2	595	122
3	3333	120
0	13	24
0	23	24
1	55	24
2	221	24
3	1191	24
4	4601	24
0	8344	21

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs alpha)

(abs cosTheta)

Compiler

Compiled 24 to 13 computations (45.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.5%

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

simplify91.0ms (1.1%)

Memory

30.6MiB live, 165.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	91
0	23	91
1	55	91
2	221	91
3	1191	91
4	4601	91
0	8344	81

Stop Event

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

localize46.0ms (0.6%)

Memory

2.6MiB live, 100.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.21484375	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.3203125	(/.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	0.36556625976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

38.0ms

256×

valid

Compiler

Compiled 93 to 15 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 17.0ms (62.6% of total)

ival-div: 4.0ms (14.7% of total)

ival-log: 3.0ms (11.1% of total)

ival-pi: 1.0ms (3.7% of total)

ival-add: 1.0ms (3.7% of total)

ival-sub: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.7%)

Memory

-30.2MiB live, 113.4MiB allocated

Counts

7 → 43

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	alpha	@	0	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
12.0ms	alpha	@	-inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
9.0ms	alpha	@	inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
4.0ms	cosTheta	@	0	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
3.0ms	cosTheta	@	inf	((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))

simplify164.0ms (2%)

Memory

42.4MiB live, 267.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1450
1	572	1398
2	2417	1236
0	8614	1182

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 43

Calls

Call 1

Inputs
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -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)))))
(- (+ (* (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)))))
(- (+ (* (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)))))
(* cosTheta (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 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))
(/ (- (+ (/ 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))
-1
(- (pow alpha 2) 1)
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (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))))))))
(- (* (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))))))))
(- (* (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))))))))
(pow alpha 2)
(* 2 (* (PI) (log alpha)))
(* -1 cosTheta)
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(* -1 (pow cosTheta 2))
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 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))))))))
(- (+ (* -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))))))))
(- (+ (/ 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))))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 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))))))))
(- (+ (* -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))))))))
(- (+ (/ 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))))))
(* -2 (* (PI) (log (/ -1 alpha))))

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

rewrite175.0ms (2.1%)

Memory

-32.7MiB live, 397.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	23	65
1	101	65
2	818	63
0	8860	55

Stop Event

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

Counts

7 → 372

Calls

Call 1

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

eval55.0ms (0.7%)

Memory: 14.6MiB live, 156.7MiB allocated
Compiler: Compiled 19 163 to 2 092 computations (89.1% saved)

prune45.0ms (0.5%)

Memory

16.4MiB live, 107.5MiB allocated

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	468	39	507
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	469	39	508

Accuracy

99.8%

Counts

508 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 (neg.f32 alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (neg.f32 alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (PI.f32)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 alpha (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 alpha (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (.f32 (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 alpha (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 alpha (/.f32 alpha (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
	98.3%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	83.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))
	77.9%	(/.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 (expm1.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	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))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) 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))))
	67.2%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	10.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
▶	67.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))

Compiler

Compiled 2 638 to 1 364 computations (48.3% saved)

simplify8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f32 (log.f32 alpha) (PI.f32))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
cost-diff	0	(/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))
cost-diff	0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
cost-diff	0	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
cost-diff	0	(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(neg.f32 cosTheta)
cost-diff	0	(fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
cost-diff	0	(/.f32 alpha (fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
cost-diff	0	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
cost-diff	0	(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
cost-diff	0	(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
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 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	531
0	93	531

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Calls

Call 1

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

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

localize190.0ms (2.3%)

Memory

-42.3MiB live, 320.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 cosTheta cosTheta)
accuracy	0.0	(log.f32 alpha)
accuracy	0.0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
accuracy	0.0	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	0.0	(*.f32 alpha alpha)
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	0.0	(neg.f32 cosTheta)
accuracy	0.0	(neg.f32 alpha)
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
accuracy	0.0	(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
accuracy	0.0	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))
accuracy	29.98788023102775	(PI.f32)

Samples

99.0ms

256×

invalid

Compiler

Compiled 569 to 51 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 24.0ms (34.3% of total)

ival-div: 15.0ms (21.4% of total)

ival-add: 12.0ms (17.2% of total)

ival-log: 7.0ms (10% of total)

ival-pow: 5.0ms (7.1% of total)

ival-sub: 2.0ms (2.9% of total)

ival-neg: 2.0ms (2.9% of total)

ival-pi: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series236.0ms (2.8%)

Memory

-14.3MiB live, 363.5MiB allocated

Counts

26 → 175

Calls

Call 1

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

Outputs
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI))))
(- (+ (* -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)))))
(- (+ (* (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)))))
(- (+ (* (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)))))
(log (pow (pow alpha 2) (PI)))
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(- (/ (pow alpha 2) (* (NAN) (PI))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (+ (* (pow cosTheta 2) (+ (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* -1 alpha)
(+ (* -1 alpha) (* alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* -1 (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3))) (* alpha (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
-1
(- (* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) 1)
(* -1 cosTheta)
(- (+ (* (pow cosTheta 2) (- (/ (pow alpha 2) (* (NAN) (PI))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* (pow cosTheta 2) (- (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -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)))))
(- (+ (* (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)))))
(- (+ (* (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)))))
(/ -1/2 (* (PI) (log alpha)))
(- (* -1/2 (/ (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(- (* (pow cosTheta 2) (- (* -1/2 (/ (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(- (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1/2 (/ (pow cosTheta 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (* 1/2 (/ 1 (* (PI) (log alpha)))))
(* cosTheta (- (pow alpha 2) 1))
(pow cosTheta 2)
(/ 1 (* (pow cosTheta 2) (log (pow (pow alpha 2) (PI)))))
(/ (- (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (/ 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))
(/ (- (+ (/ 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))
(* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (/ (log (pow (pow alpha 2) (PI))) (pow cosTheta 2))))
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2))))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(/ (- (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* -1 (/ alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(/ (+ (* -1 (/ alpha (- (pow alpha 2) 1))) (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3)))) (* -1 (/ alpha (- (pow alpha 2) 1)))) (* -1 (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ alpha (- (pow alpha 2) 1))) (/ alpha (* (pow cosTheta 6) (pow (- (pow alpha 2) 1) 4)))) (+ (* -1 (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 2))
(* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (- (* -1 (- (pow alpha 2) 1)) (/ 1 (pow cosTheta 2))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 4))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 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))
(/ (- (+ (/ 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))
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))
(/ (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log alpha)))))) (pow cosTheta 2))
(/ (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))) (pow cosTheta 2))
(/ (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (+ (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (log alpha))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (log alpha)))))))) (pow cosTheta 2))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (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))))))))
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(- (* (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))))))))
(- (pow alpha 2) 1)
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(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(/ -1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
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(* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))))
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(- (* (pow alpha 2) (- (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 2))))) (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 2))))) (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 3))))) (/ (pow cosTheta 6) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4))))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(/ alpha (- (pow cosTheta 2) 1))
(* alpha (+ (/ 1 (- (pow cosTheta 2) 1)) (/ (* (pow alpha 2) (pow cosTheta 2)) (pow (- (pow cosTheta 2) 1) 2))))
(* alpha (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (pow (- (pow cosTheta 2) 1) 3)) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
(* alpha (+ (* (pow alpha 2) (- (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 6)) (pow (- (pow cosTheta 2) 1) 4)) (* -1 (/ (pow cosTheta 4) (pow (- (pow cosTheta 2) 1) 3))))) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
(- (pow cosTheta 2) 1)
(- (+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)) 1)
(- (* (pow alpha 2) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (+ (* (pow alpha 2) (- (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (+ (* (pow alpha 2) (- (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (* (pow alpha 2) (- (/ (pow cosTheta 6) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(/ -1/2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))
(* (PI) (log alpha))
(* 2 (* (PI) (log alpha)))
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))
(log alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 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))))))))
(- (+ (* -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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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI)))))))
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(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
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(- (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (pow (- (pow cosTheta 2) 1) 2)) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI)))))))
(/ -1 (* alpha (pow cosTheta 2)))
(/ (- (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
(/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
(/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (pow (- (pow cosTheta 2) 1) 2)) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1 (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))))) alpha)
(* -1 (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (- (+ (* -1 (pow cosTheta 2)) (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))) (+ (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2)))))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(/ 1/2 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))))
(/ 1/2 (* (PI) (log (/ 1 alpha))))
(* -1 (* (PI) (log (/ 1 alpha))))
(* -2 (* (PI) (log (/ 1 alpha))))
(* (pow alpha 2) cosTheta)
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))
(* -1 (log (/ 1 alpha)))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 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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(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(* -1 (/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) (/ 1 (* (pow alpha 2) (pow cosTheta 4)))) alpha))
(* -1 (/ (- (+ (/ 1 (pow cosTheta 2)) (/ (pow (- (pow cosTheta 2) 1) 2) (* (pow alpha 4) (pow cosTheta 6)))) (* -1 (/ (- (pow cosTheta 2) 1) (* (pow alpha 2) (pow cosTheta 4))))) alpha))
(* -1 (/ (- (+ (/ 1 (pow cosTheta 2)) (/ (pow (- (pow cosTheta 2) 1) 3) (* (pow alpha 6) (pow cosTheta 8)))) (+ (* -1 (/ (- (pow cosTheta 2) 1) (* (pow alpha 2) (pow cosTheta 4)))) (* -1 (/ (pow (- (pow cosTheta 2) 1) 2) (* (pow alpha 4) (pow cosTheta 6)))))) alpha))
(/ -1/2 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2)))))
(/ -1/2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))
(* -2 (* (PI) (log (/ -1 alpha))))
(+ (log -1) (* -1 (log (/ -1 alpha))))

Calls

6 calls:

Time	Variable		Point	Expression
78.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (neg alpha) (log alpha) (* cosTheta cosTheta))
64.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (neg alpha) (log alpha) (* cosTheta cosTheta))
39.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (neg alpha) (log alpha) (* cosTheta cosTheta))
26.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (neg alpha) (log alpha) (* cosTheta cosTheta))
13.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/ -1/2 (* (log alpha) (PI))) (* (log alpha) (PI)) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (neg alpha) (log alpha) (* cosTheta cosTheta))

simplify296.0ms (3.5%)

Memory

-2.1MiB live, 342.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	822	6703
1	2466	6392
0	8252	6254

Stop Event

1×	iter limit
1×	node limit

Counts

175 → 175

Calls

Call 1

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

rewrite18.0ms (0.2%)

Memory

22.3MiB live, 22.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	312
0	93	312

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

26 → 31

Calls

Call 1

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

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

eval83.0ms (1%)

Memory: 3.9MiB live, 92.0MiB allocated
Compiler: Compiled 17 869 to 1 292 computations (92.8% saved)

prune132.0ms (1.6%)

Memory

-15.4MiB live, 173.0MiB allocated

Pruning

83 alts after pruning (82 fresh and 1 done)

	Pruned	Kept	Total
New	258	57	315
Fresh	9	25	34
Picked	4	1	5
Done	0	0	0
Total	271	83	354

Accuracy

99.9%

Counts

354 → 83

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 (neg.f32 alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (neg.f32 alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (PI.f32)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
▶	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) alpha) alpha)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32))))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
▶	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) #s(approx (* cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 alpha (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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▶	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
	98.3%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	96.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	98.3%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	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))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.2%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	96.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
✓	67.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
	66.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	98.2%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 alpha))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (PI.f32)) (log.f32 alpha)))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 alpha)))))
	-0.0%	#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
	-0.0%	#s(approx (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (-.f32 (.f32 (/.f32 alpha (NAN.f32)) (/.f32 alpha (PI.f32))) (/.f32 (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha) alpha #s(literal 1 binary32)) (.f32 (NAN.f32) (PI.f32)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))

Compiler

Compiled 7 185 to 4 217 computations (41.3% saved)

simplify9.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f32 cosTheta)
cost-diff	0	(fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
cost-diff	0	(/.f32 alpha (fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
cost-diff	0	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha)))
cost-diff	0	(.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))) (PI.f32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(neg.f32 cosTheta)
cost-diff	0	(fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
cost-diff	0	(/.f32 alpha (fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
cost-diff	0	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
cost-diff	0	(*.f32 (NAN.f32) (PI.f32))
cost-diff	0	#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))
cost-diff	0	(fma.f32 alpha alpha #s(literal -1 binary32))
cost-diff	0	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
cost-diff	0	(.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 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 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 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	62	782
0	111	782

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Calls

Call 1

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

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 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 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(log.f32 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
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))
(*.f32 (NAN.f32) (PI.f32))
(NAN.f32)
(PI.f32)
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(/.f32 alpha (fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
alpha
(fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(neg.f32 cosTheta)
cosTheta
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (neg.f32 alpha) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)))
(neg.f32 alpha)
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(PI.f32)
(/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta)))
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))
(.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta)
(.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta)
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
#s(literal 1 binary32)
(NAN.f32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))) (PI.f32)))
#s(literal 1 binary32)
(.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))) (PI.f32))
#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha)))
(.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))
(*.f32 cosTheta alpha)
cosTheta
alpha
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
#s(literal -1 binary32)
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 alpha (fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
alpha
(fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(neg.f32 cosTheta)
cosTheta
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (neg.f32 alpha) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)))
(neg.f32 alpha)
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(PI.f32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.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))
(*.f32 alpha alpha)
#s(literal 1 binary32)

localize192.0ms (2.3%)

Memory

-10.1MiB live, 171.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f32 cosTheta)
accuracy	0.0	(neg.f32 alpha)
accuracy	0.0	#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 cosTheta alpha)
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha)))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(neg.f32 alpha)
accuracy	0.0	(NAN.f32)
accuracy	0.0	#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 (NAN.f32) (PI.f32))
accuracy	0.0	(NAN.f32)
accuracy	0.0	#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 (PI.f32) #s(literal 2 binary32))
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(log.f32 alpha)
accuracy	29.98788023102775	(PI.f32)

Samples

139.0ms

256×

invalid

Compiler

Compiled 713 to 50 computations (93% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 76.0ms (65.4% of total)

ival-neg: 20.0ms (17.2% of total)

ival-div: 7.0ms (6% of total)

ival-add: 6.0ms (5.2% of total)

ival-log: 3.0ms (2.6% of total)

ival-pi: 1.0ms (0.9% of total)

ival-sub: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

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

series132.0ms (1.6%)

Memory

6.3MiB live, 163.3MiB allocated

Counts

25 → 144

Calls

Call 1

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

Outputs
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))
(* 2 (* (PI) (log alpha)))
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(- (/ (pow alpha 2) (* (NAN) (PI))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (+ (* (pow cosTheta 2) (+ (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* -1 alpha)
(+ (* -1 alpha) (* alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* -1 (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3))) (* alpha (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
-1
(- (* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) 1)
(* -1 cosTheta)
(- (+ (* (pow cosTheta 2) (- (/ (pow alpha 2) (* (NAN) (PI))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* (pow cosTheta 2) (- (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* alpha cosTheta)
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))
(/ (- (+ (/ 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))
(/ (- (+ (* 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))
(* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2))))
(/ (- (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* -1 (/ alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(/ (+ (* -1 (/ alpha (- (pow alpha 2) 1))) (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3)))) (* -1 (/ alpha (- (pow alpha 2) 1)))) (* -1 (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ alpha (- (pow alpha 2) 1))) (/ alpha (* (pow cosTheta 6) (pow (- (pow alpha 2) 1) 4)))) (+ (* -1 (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 2))
(* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (- (* -1 (- (pow alpha 2) 1)) (/ 1 (pow cosTheta 2))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 4))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (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 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (pow alpha 2) 1)
(pow alpha 2)
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(/ -1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))))
(- (* (pow alpha 2) (- (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 2))))) (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 2))))) (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 3))))) (/ (pow cosTheta 6) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4))))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(/ alpha (- (pow cosTheta 2) 1))
(* alpha (+ (/ 1 (- (pow cosTheta 2) 1)) (/ (* (pow alpha 2) (pow cosTheta 2)) (pow (- (pow cosTheta 2) 1) 2))))
(* alpha (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (pow (- (pow cosTheta 2) 1) 3)) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
(* alpha (+ (* (pow alpha 2) (- (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 6)) (pow (- (pow cosTheta 2) 1) 4)) (* -1 (/ (pow cosTheta 4) (pow (- (pow cosTheta 2) 1) 3))))) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
(- (pow cosTheta 2) 1)
(- (+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)) 1)
(- (* (pow alpha 2) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (+ (* (pow alpha 2) (- (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (+ (* (pow alpha 2) (- (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (* (pow alpha 2) (- (/ (pow cosTheta 6) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(log alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI)))))))
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (NAN) (PI)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI)))))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))
(- (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI)))))))
(- (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (pow (- (pow cosTheta 2) 1) 2)) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI)))))))
(/ -1 (* alpha (pow cosTheta 2)))
(/ (- (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
(/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
(/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (pow (- (pow cosTheta 2) 1) 2)) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1 (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))))) alpha)
(* -1 (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (- (+ (* -1 (pow cosTheta 2)) (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))) (+ (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2)))))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* -1 (log (/ 1 alpha)))
(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
(- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
(- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
(- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
(* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))
(* -1 (/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) (/ 1 (* (pow alpha 2) (pow cosTheta 4)))) alpha))
(* -1 (/ (- (+ (/ 1 (pow cosTheta 2)) (/ (pow (- (pow cosTheta 2) 1) 2) (* (pow alpha 4) (pow cosTheta 6)))) (* -1 (/ (- (pow cosTheta 2) 1) (* (pow alpha 2) (pow cosTheta 4))))) alpha))
(* -1 (/ (- (+ (/ 1 (pow cosTheta 2)) (/ (pow (- (pow cosTheta 2) 1) 3) (* (pow alpha 6) (pow cosTheta 8)))) (+ (* -1 (/ (- (pow cosTheta 2) 1) (* (pow alpha 2) (pow cosTheta 4)))) (* -1 (/ (pow (- (pow cosTheta 2) 1) 2) (* (pow alpha 4) (pow cosTheta 6)))))) alpha))
(+ (log -1) (* -1 (log (/ -1 alpha))))

Calls

6 calls:

Time	Variable		Point	Expression
73.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (PI) (log alpha) (* (PI) 2) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))
27.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (PI) (log alpha) (* (PI) 2) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))
12.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (PI) (log alpha) (* (PI) 2) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))
7.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (PI) (log alpha) (* (PI) 2) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))
5.0ms	cosTheta	@	inf	((/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (neg cosTheta) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (PI) (log alpha) (* (PI) 2) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))

simplify220.0ms (2.6%)

Memory

33.1MiB live, 166.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	729	5917
1	2310	5602
0	8319	5480

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))
(* 2 (* (PI) (log alpha)))
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(- (/ (pow alpha 2) (* (NAN) (PI))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (+ (* (pow cosTheta 2) (+ (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* -1 alpha)
(+ (* -1 alpha) (* alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* -1 (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3))) (* alpha (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
-1
(- (* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) 1)
(* -1 cosTheta)
(- (+ (* (pow cosTheta 2) (- (/ (pow alpha 2) (* (NAN) (PI))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* (pow cosTheta 2) (- (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* alpha cosTheta)
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))
(/ (- (+ (/ 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))
(/ (- (+ (* 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))
(* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2))))
(/ (- (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* -1 (/ alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(/ (+ (* -1 (/ alpha (- (pow alpha 2) 1))) (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3)))) (* -1 (/ alpha (- (pow alpha 2) 1)))) (* -1 (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ alpha (- (pow alpha 2) 1))) (/ alpha (* (pow cosTheta 6) (pow (- (pow alpha 2) 1) 4)))) (+ (* -1 (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 2))
(* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (- (* -1 (- (pow alpha 2) 1)) (/ 1 (pow cosTheta 2))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 4))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (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 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))
(- (pow alpha 2) 1)
(pow alpha 2)
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))
(/ -1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))))
(- (* (pow alpha 2) (- (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 2))))) (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 2))))) (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 3))))) (/ (pow cosTheta 6) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4))))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(/ alpha (- (pow cosTheta 2) 1))
(* alpha (+ (/ 1 (- (pow cosTheta 2) 1)) (/ (* (pow alpha 2) (pow cosTheta 2)) (pow (- (pow cosTheta 2) 1) 2))))
(* alpha (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (pow (- (pow cosTheta 2) 1) 3)) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
(* alpha (+ (* (pow alpha 2) (- (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 6)) (pow (- (pow cosTheta 2) 1) 4)) (* -1 (/ (pow cosTheta 4) (pow (- (pow cosTheta 2) 1) 3))))) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
(- (pow cosTheta 2) 1)
(- (+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)) 1)
(- (* (pow alpha 2) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (+ (* (pow alpha 2) (- (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (+ (* (pow alpha 2) (- (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (* (pow alpha 2) (- (/ (pow cosTheta 6) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(log alpha)
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI)))))))
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (NAN) (PI)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI)))))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))
(- (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI)))))))
(- (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (pow (- (pow cosTheta 2) 1) 2)) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI)))))))
(/ -1 (* alpha (pow cosTheta 2)))
(/ (- (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
(/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
(/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (pow (- (pow cosTheta 2) 1) 2)) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1 (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))))) alpha)
(* -1 (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (- (+ (* -1 (pow cosTheta 2)) (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))) (+ (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2)))))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* -1 (log (/ 1 alpha)))
(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))
(- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))
(- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
(- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))
(* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))
(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))
(* -1 (/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) (/ 1 (* (pow alpha 2) (pow cosTheta 4)))) alpha))
(* -1 (/ (- (+ (/ 1 (pow cosTheta 2)) (/ (pow (- (pow cosTheta 2) 1) 2) (* (pow alpha 4) (pow cosTheta 6)))) (* -1 (/ (- (pow cosTheta 2) 1) (* (pow alpha 2) (pow cosTheta 4))))) alpha))
(* -1 (/ (- (+ (/ 1 (pow cosTheta 2)) (/ (pow (- (pow cosTheta 2) 1) 3) (* (pow alpha 6) (pow cosTheta 8)))) (+ (* -1 (/ (- (pow cosTheta 2) 1) (* (pow alpha 2) (pow cosTheta 4)))) (* -1 (/ (pow (- (pow cosTheta 2) 1) 2) (* (pow alpha 4) (pow cosTheta 6)))))) alpha))
(+ (log -1) (* -1 (log (/ -1 alpha))))

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

rewrite20.0ms (0.2%)

Memory

-18.9MiB live, 26.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	387
0	111	387

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

25 → 30

Calls

Call 1

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

Outputs
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 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 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))
(*.f32 (NAN.f32) (PI.f32))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(+.f32 (.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(/.f32 alpha (fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
(fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32))
(neg.f32 cosTheta)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))) (PI.f32)))
(.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha))) (PI.f32))
#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (*.f32 cosTheta alpha)))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(PI.f32)
(log.f32 alpha)
(*.f32 (PI.f32) #s(literal 2 binary32))
(NAN.f32)
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))
(neg.f32 alpha)
(*.f32 cosTheta alpha)
#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))

eval46.0ms (0.6%)

Memory: -32.7MiB live, 76.1MiB allocated
Compiler: Compiled 15 988 to 1 088 computations (93.2% saved)

prune92.0ms (1.1%)

Memory

27.9MiB live, 160.4MiB allocated

Pruning

90 alts after pruning (84 fresh and 6 done)

	Pruned	Kept	Total
New	207	29	236
Fresh	22	55	77
Picked	0	5	5
Done	0	1	1
Total	229	90	319

Accuracy

99.9%

Counts

319 → 90

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (neg.f32 alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/.f32 (neg.f32 alpha) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (.f32 alpha (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (.f32 alpha (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (.f32 alpha (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
▶	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
✓	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
	98.3%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	6.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 (log.f32 alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 alpha) (.f32 cosTheta cosTheta)))))))
	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	96.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
▶	98.3%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	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))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.2%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	95.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))))
	96.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
✓	67.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
	66.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	-0.0%	#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
	-0.0%	#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
	-0.0%	#s(approx (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (-.f32 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (NAN.f32))) (/.f32 (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha) alpha #s(literal 1 binary32)) (.f32 (NAN.f32) (PI.f32)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
	-0.0%	#s(approx (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (-.f32 (.f32 (/.f32 alpha (NAN.f32)) (/.f32 alpha (PI.f32))) (/.f32 (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha) alpha #s(literal 1 binary32)) (.f32 (NAN.f32) (PI.f32)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))

Compiler

Compiled 8 041 to 4 819 computations (40.1% saved)

simplify10.0ms (0.1%)

Memory

20.7MiB live, 20.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	876
0	126	871

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Calls

Call 1

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

Outputs
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
(-.f32 alpha #s(literal 1 binary32))
alpha
#s(literal 1 binary32)
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(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 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32))))
(fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))
(.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta)
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
#s(literal 1 binary32)
(PI.f32)
(NAN.f32)
cosTheta
(*.f32 (NAN.f32) (PI.f32))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
#s(literal 1 binary32)
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32))))
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
(NAN.f32)
(fma.f32 (/.f32 alpha (+.f32 (.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(/.f32 alpha (+.f32 (.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32)))
(/.f32 alpha (fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
alpha
(+.f32 (.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32))
(fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))
(neg.f32 cosTheta)
cosTheta
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
(fma.f32 alpha alpha #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (neg.f32 alpha) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)))
(neg.f32 alpha)
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(PI.f32)
(/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta)))
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))
(.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta)
(.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta)
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32))
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(*.f32 alpha alpha)
#s(literal 1 binary32)
(NAN.f32)
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32)))
#s(literal 1 binary32)
(.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))
#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta cosTheta)
cosTheta
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#s(literal -1 binary32)
(PI.f32)
(/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(*.f32 alpha alpha)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))

localize165.0ms (2%)

Memory

-17.4MiB live, 281.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f32 cosTheta cosTheta)
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(neg.f32 alpha)
accuracy	0.0	(NAN.f32)
accuracy	0.0	#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(NAN.f32)
accuracy	0.0	#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(NAN.f32)
accuracy	0.0	#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0.0	(*.f32 alpha alpha)
accuracy	0.0	(log.f32 (*.f32 alpha alpha))
accuracy	29.98788023102775	(PI.f32)

Samples

99.0ms

256×

invalid

Compiler

Compiled 792 to 57 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 35.0ms (56.1% of total)

ival-add: 9.0ms (14.4% of total)

ival-div: 8.0ms (12.8% of total)

ival-sub: 4.0ms (6.4% of total)

ival-log: 3.0ms (4.8% of total)

ival-neg: 2.0ms (3.2% of total)

ival-pi: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series56.0ms (0.7%)

Memory

-32.5MiB live, 112.1MiB allocated

Counts

29 → 147

Calls

Call 1

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

Outputs
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(- (/ (pow alpha 2) (* (NAN) (PI))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (pow alpha 2) (* (NAN) (PI))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* (pow cosTheta 2) (- (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
-1
(- (* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) 1)
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (+ (* (pow cosTheta 2) (+ (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* -1 alpha)
(+ (* -1 alpha) (* alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* -1 (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3))) (* alpha (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
(* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(pow cosTheta 2)
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2))))
(/ (- (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 4))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (* -1 (- (pow alpha 2) 1)) (/ 1 (pow cosTheta 2))))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* -1 (/ alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(/ (+ (* -1 (/ alpha (- (pow alpha 2) 1))) (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3)))) (* -1 (/ alpha (- (pow alpha 2) 1)))) (* -1 (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ alpha (- (pow alpha 2) 1))) (/ alpha (* (pow cosTheta 6) (pow (- (pow alpha 2) 1) 4)))) (+ (* -1 (/ alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (/ alpha (* (pow cosTheta 4) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 2))
(- (pow alpha 2) 1)
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (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))))))))
(- (* (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))))))))
(- (* (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))))))))
(* alpha (- alpha 1))
(- alpha 1)
(/ -1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(- (* (pow alpha 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))))
(+ (* -1 (* (pow cosTheta 2) (* (NAN) (PI)))) (* (NAN) (PI)))
(+ (* -1 (* (pow cosTheta 2) (* (NAN) (PI)))) (+ (* (NAN) (PI)) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))))
(- (* (pow alpha 2) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (+ (* (pow alpha 2) (- (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (+ (* (pow alpha 2) (- (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (* (pow alpha 2) (- (/ (pow cosTheta 6) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))) (+ (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))
(+ (* -1 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(+ (* (pow alpha 2) (- (* (pow alpha 2) (- (* -1 (/ (* (pow alpha 2) (pow cosTheta 6)) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4)))) (* -1 (/ (pow cosTheta 4) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3)))))) (/ (pow cosTheta 2) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))
(* (PI) (+ 1 (* -1 (pow cosTheta 2))))
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(+ 1 (* -1 (pow cosTheta 2)))
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))
(- (pow cosTheta 2) 1)
(- (+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2)) 1)
(- (* (pow alpha 2) (- (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 2))))) (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 2))))) (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow cosTheta 2) 1) 3))))) (/ (pow cosTheta 6) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 4))))))))) (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (/ 1 (* (NAN) (* (PI) (- (pow cosTheta 2) 1)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))))
(/ alpha (- (pow cosTheta 2) 1))
(* alpha (+ (/ 1 (- (pow cosTheta 2) 1)) (/ (* (pow alpha 2) (pow cosTheta 2)) (pow (- (pow cosTheta 2) 1) 2))))
(* alpha (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (pow (- (pow cosTheta 2) 1) 3)) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
(* alpha (+ (* (pow alpha 2) (- (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 6)) (pow (- (pow cosTheta 2) 1) 4)) (* -1 (/ (pow cosTheta 4) (pow (- (pow cosTheta 2) 1) 3))))) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
(+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))
(* 2 (log alpha))
(pow alpha 2)
(* 2 (* (PI) (log alpha)))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 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))))))))
(- (+ (* -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))))))))
(- (+ (/ 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))))))
(* (pow alpha 2) (- 1 (/ 1 alpha)))
alpha
(* alpha (- 1 (/ 1 alpha)))
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI)))))))
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (NAN) (PI)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI)))))))
(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))
(* (pow alpha 2) (+ (* -1 (/ (* (pow cosTheta 2) (* (NAN) (PI))) (pow alpha 2))) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (PI)) (pow alpha 2)))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2))))))
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))) (+ (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2)))))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* -1 (* (pow alpha 2) (pow cosTheta 2)))
(* (pow alpha 2) (- (+ (* -1 (pow cosTheta 2)) (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))
(- (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI)))))))
(- (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* -1 (/ (* (- (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (pow (- (pow cosTheta 2) 1) 2)) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI)))))))
(/ -1 (* alpha (pow cosTheta 2)))
(/ (- (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
(/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
(/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (pow (- (pow cosTheta 2) 1) 2)) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1 (/ (* (- (/ 1 (pow cosTheta 4)) (/ 1 (pow cosTheta 2))) (- (pow cosTheta 2) 1)) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))))) alpha)
(* (pow alpha 2) (+ (* -1 (pow cosTheta 2)) (/ (pow cosTheta 2) (pow alpha 2))))
(* -2 (log (/ 1 alpha)))
(* -2 (* (PI) (log (/ 1 alpha))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))
(- (/ 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))))))))
(- (+ (* -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))))))))
(- (+ (/ 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))))))
(* -1 (* alpha (- (/ 1 alpha) 1)))
(* -1 (/ (- (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2))) (/ 1 (* (pow alpha 2) (pow cosTheta 4)))) alpha))
(* -1 (/ (- (+ (/ 1 (pow cosTheta 2)) (/ (pow (- (pow cosTheta 2) 1) 2) (* (pow alpha 4) (pow cosTheta 6)))) (* -1 (/ (- (pow cosTheta 2) 1) (* (pow alpha 2) (pow cosTheta 4))))) alpha))
(* -1 (/ (- (+ (/ 1 (pow cosTheta 2)) (/ (pow (- (pow cosTheta 2) 1) 3) (* (pow alpha 6) (pow cosTheta 8)))) (+ (* -1 (/ (- (pow cosTheta 2) 1) (* (pow alpha 2) (pow cosTheta 4)))) (* -1 (/ (pow (- (pow cosTheta 2) 1) 2) (* (pow alpha 4) (pow cosTheta 6)))))) alpha))
(* -2 (log (/ -1 alpha)))
(* -2 (* (PI) (log (/ -1 alpha))))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	alpha	@	0	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (+ (* (* (* (* (- (* alpha alpha) 1) (PI)) (NAN)) cosTheta) cosTheta) (* (NAN) (PI))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta cosTheta))
10.0ms	alpha	@	inf	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (+ (* (* (* (* (- (* alpha alpha) 1) (PI)) (NAN)) cosTheta) cosTheta) (* (NAN) (PI))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta cosTheta))
9.0ms	alpha	@	-inf	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (+ (* (* (* (* (- (* alpha alpha) 1) (PI)) (NAN)) cosTheta) cosTheta) (* (NAN) (PI))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta cosTheta))
8.0ms	cosTheta	@	inf	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (+ (* (* (* (* (- (* alpha alpha) 1) (PI)) (NAN)) cosTheta) cosTheta) (* (NAN) (PI))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta cosTheta))
4.0ms	cosTheta	@	0	((+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) alpha) (- alpha 1) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (+ (* (* (* (* (- (* alpha alpha) 1) (PI)) (NAN)) cosTheta) cosTheta) (* (NAN) (PI))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (neg alpha) (* cosTheta cosTheta))

simplify200.0ms (2.4%)

Memory

23.2MiB live, 251.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	756	6415
1	2313	6129
0	8223	5981

Stop Event

1×	iter limit
1×	node limit

Counts

147 → 146

Calls

Call 1

Inputs
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2))))
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2)))))
(/ (- (pow alpha 2) 1) (* (NAN) (PI)))
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* (NAN) (PI))
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))
(- (/ (pow alpha 2) (* (NAN) (PI))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (/ (pow alpha 2) (* (NAN) (PI))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (* (pow cosTheta 2) (- (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (+ (/ 1 (* (NAN) (PI))) (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(/ 1 (PI))
(+ (* (pow cosTheta 2) (- (/ 1 (PI)) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* -1 (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(+ (* (pow cosTheta 2) (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))) (* (- (/ 1 (PI)) (/ (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (PI))) (/ (pow alpha 2) (PI)))) (/ 1 (PI)))
(PI)
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
1
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
-1
(- (* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) 1)
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(- (+ (* (pow cosTheta 2) (- (+ (* -1 (/ (* (pow alpha 2) (- (pow alpha 2) 1)) (* (NAN) (PI)))) (+ (* (pow cosTheta 2) (+ (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (- (pow alpha 2) 1)) (+ (* (pow cosTheta 2) (+ (* -1 (* (- (/ 1 (* (NAN) (PI))) (/ (pow alpha 2) (* (NAN) (PI)))) (pow (- (pow alpha 2) 1) 2))) (* -1 (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI)))))) (/ (* (pow alpha 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))))) (/ (pow alpha 2) (* (NAN) (PI))))) (/ 1 (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI))))
(* -1 alpha)
(+ (* -1 alpha) (* alpha (* (pow cosTheta 2) (- (pow alpha 2) 1))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* -1 (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
(+ (* -1 alpha) (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* alpha (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3))) (* alpha (pow (- (pow alpha 2) 1) 2)))) (* -1 (* alpha (- (pow alpha 2) 1))))))
(* -1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))
(pow cosTheta 2)
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2))))
(/ (- (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow alpha 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (pow cosTheta 4))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2))
(/ 1 (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))))
(/ (- (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (pow cosTheta 2))
(/ (- (+ (/ 1 (* (PI) (- (pow alpha 2) 1))) (/ 1 (* (pow cosTheta 4) (* (PI) (pow (- (pow alpha 2) 1) 3))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (pow (- (pow alpha 2) 1) 2)))) (/ 1 (* (pow cosTheta 6) (* (PI) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 2))
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (pow cosTheta 2))))
(* (pow cosTheta 2) (- (pow alpha 2) 1))
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))
(* (pow cosTheta 2) (- (* -1 (- (pow alpha 2) 1)) (/ 1 (pow cosTheta 2))))
(/ (- (+ (* -1 (/ (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2))))) (/ (pow alpha 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (/ 1 (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (pow cosTheta 2))
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(- (pow alpha 2) 1)
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(* alpha (- alpha 1))
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(/ alpha (- (pow cosTheta 2) 1))
(* alpha (+ (/ 1 (- (pow cosTheta 2) 1)) (/ (* (pow alpha 2) (pow cosTheta 2)) (pow (- (pow cosTheta 2) 1) 2))))
(* alpha (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (pow cosTheta 4)) (pow (- (pow cosTheta 2) 1) 3)) (* -1 (/ (pow cosTheta 2) (pow (- (pow cosTheta 2) 1) 2))))) (/ 1 (- (pow cosTheta 2) 1))))
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(+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (pow cosTheta 2))
(* 2 (log alpha))
(pow alpha 2)
(* 2 (* (PI) (log alpha)))
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))
(- (/ 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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(* (pow alpha 2) (- 1 (/ 1 alpha)))
alpha
(* alpha (- 1 (/ 1 alpha)))
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))
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(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))
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(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 2))))) (+ (* -1 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 2) (* (NAN) (PI))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow cosTheta 4) (* (NAN) (PI)))))) (* (pow alpha 4) (pow cosTheta 2)))))))
(/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI))))
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(/ (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (/ 1 (* (pow cosTheta 2) (PI))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI))))) (pow alpha 2))
(/ (- (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) (+ (/ 1 (* (pow cosTheta 2) (PI))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 6) (pow cosTheta 4))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (PI)))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (PI))) (/ 1 (* (pow cosTheta 4) (PI))))) (* (pow alpha 4) (pow cosTheta 2))))) (pow alpha 2))
(* (pow alpha 2) (* (pow cosTheta 2) (PI)))
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2))))
(* (pow alpha 2) (pow cosTheta 2))
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))
(* -1 (* (pow alpha 2) (pow cosTheta 2)))
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(/ -1 (* alpha (pow cosTheta 2)))
(/ (- (/ 1 (* (pow alpha 2) (pow cosTheta 4))) (+ (/ 1 (* (pow alpha 2) (pow cosTheta 2))) (/ 1 (pow cosTheta 2)))) alpha)
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(* (pow alpha 2) (+ (* -1 (pow cosTheta 2)) (/ (pow cosTheta 2) (pow alpha 2))))
(* -2 (log (/ 1 alpha)))
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(* -1 (* alpha (- (/ 1 alpha) 1)))
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(* -2 (log (/ -1 alpha)))
(* -2 (* (PI) (log (/ -1 alpha))))

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

rewrite24.0ms (0.3%)

Memory

13.1MiB live, 51.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	490
0	126	485

Stop Event

1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

29 → 37

Calls

Call 1

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

Outputs
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) alpha)
(-.f32 alpha #s(literal 1 binary32))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(fma.f32 alpha alpha #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32))))
(fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))
(+.f32 (.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta) (.f32 (NAN.f32) (PI.f32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))
(fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) #s(literal -1 binary32))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(+.f32 (.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(/.f32 alpha (fma.f32 (neg.f32 cosTheta) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)))
(.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32)))
(.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))
#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(NAN.f32)
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))
(neg.f32 alpha)
(*.f32 cosTheta cosTheta)

eval55.0ms (0.7%)

Memory: -14.5MiB live, 83.4MiB allocated
Compiler: Compiled 15 851 to 1 148 computations (92.8% saved)

prune200.0ms (2.4%)

Memory

12.5MiB live, 256.9MiB allocated

Pruning

115 alts after pruning (107 fresh and 8 done)

	Pruned	Kept	Total
New	191	33	224
Fresh	5	74	79
Picked	2	3	5
Done	1	5	6
Total	199	115	314

Accuracy

99.9%

Counts

314 → 115

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (neg.f32 alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32))))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))))
	-0.0%	(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 alpha (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (+.f32 #s(approx (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
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	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
	-0.0%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/.f32 (neg.f32 alpha) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (.f32 alpha (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (.f32 alpha (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (.f32 alpha (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (.f32 alpha (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta #s(literal -1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
	-0.0%	(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
✓	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 #s(approx ( alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (.f32 (NAN.f32) (PI.f32)))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha) (/.f32 (NAN.f32) alpha))) (*.f32 alpha alpha))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
✓	-0.0%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
	98.3%	(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	5.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 (log.f32 alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 alpha) (.f32 cosTheta cosTheta)))))))
	96.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	96.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	98.5%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) #s(approx (log (* alpha alpha)) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) 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))))
	-0.0%	(/.f32 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (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))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.2%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	95.9%	#s(approx (/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))))
	96.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
✓	67.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
	66.6%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	-0.0%	#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
	-0.0%	#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
	-0.0%	#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
	-0.0%	#s(approx (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (-.f32 (.f32 (/.f32 alpha (PI.f32)) (/.f32 alpha (NAN.f32))) (/.f32 (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha) alpha #s(literal 1 binary32)) (.f32 (NAN.f32) (PI.f32)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
	-0.0%	#s(approx (+ (* (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ (* alpha alpha) (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (-.f32 (.f32 (/.f32 alpha (NAN.f32)) (/.f32 alpha (PI.f32))) (/.f32 (fma.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) alpha) alpha #s(literal 1 binary32)) (.f32 (NAN.f32) (PI.f32)))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))

Compiler

Compiled 13 126 to 3 912 computations (70.2% saved)

regimes180.0ms (2.2%)

Memory

-0.5MiB live, 273.0MiB allocated

Counts

159 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 #s(approx ( alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha) (/.f32 (NAN.f32) alpha))) (*.f32 alpha alpha))))
(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) alpha) alpha))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) alpha))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
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(fma.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (-.f32 (.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (.f32 (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 alpha (PI.f32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 alpha (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (log alpha) (PI))) (- 1 (* cosTheta cosTheta))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #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 #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) #s(approx (log (* alpha alpha)) (.f32 (log.f32 alpha) #s(literal 2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) 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 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) 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 ( (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (expm1.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (* (PI) 2) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 (log.f32 alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 alpha) (.f32 cosTheta cosTheta)))))))
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 alpha alpha))) alpha) alpha)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 alpha))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (PI.f32)) (log.f32 alpha)))) (.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.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 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Calls

4 calls:

45.0ms	(/.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))))
44.0ms	(*.f32 alpha alpha)
41.0ms	alpha
39.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes163.0ms (1.9%)

Memory

-4.5MiB live, 284.4MiB allocated

Counts

152 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

40.0ms	cosTheta
40.0ms	alpha
39.0ms	(*.f32 alpha alpha)
34.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes173.0ms (2.1%)

Memory

25.6MiB live, 215.8MiB allocated

Counts

146 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

53.0ms	(/.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))))
44.0ms	alpha
35.0ms	(*.f32 alpha alpha)
34.0ms	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)

regimes179.0ms (2.1%)

Memory

4.7MiB live, 235.8MiB allocated

Counts

144 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

53.0ms	alpha
48.0ms	cosTheta
38.0ms	(*.f32 alpha alpha)
32.0ms	(/.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))))

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes153.0ms (1.8%)

Memory

2.0MiB live, 287.0MiB allocated

Counts

143 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

39.0ms	alpha
39.0ms	(*.f32 alpha alpha)
34.0ms	cosTheta
33.0ms	(/.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))))

Results

Accuracy	Segments	Branch
97.8%	1	`(*.f32 alpha alpha)`
97.8%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
97.8%	1	`cosTheta`
97.8%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes168.0ms (2%)

Memory

-12.8MiB live, 228.0MiB allocated

Counts

140 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

48.0ms	(*.f32 alpha alpha)
39.0ms	alpha
35.0ms	cosTheta
31.0ms	(/.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))))

Results

Accuracy	Segments	Branch
97.8%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
97.8%	1	`(*.f32 alpha alpha)`
97.8%	1	`cosTheta`
97.8%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes146.0ms (1.7%)

Memory

26.1MiB live, 260.8MiB allocated

Counts

139 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

38.0ms	alpha
34.0ms	(*.f32 alpha alpha)
34.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
33.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.1%	1	`(*.f32 alpha alpha)`
96.1%	1	`cosTheta`
96.1%	1	`alpha`
96.1%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes154.0ms (1.8%)

Memory

-6.7MiB live, 223.2MiB allocated

Counts

131 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

48.0ms	cosTheta
37.0ms	alpha
33.0ms	(*.f32 alpha alpha)
29.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
66.6%	1	`cosTheta`
66.6%	1	`(*.f32 alpha alpha)`
66.6%	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))))`
66.6%	1	`alpha`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes162.0ms (1.9%)

Memory

24.5MiB live, 218.4MiB allocated

Counts

126 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 #s(approx ( alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha) (/.f32 (NAN.f32) alpha))) (*.f32 alpha alpha))))
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(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
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(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (PI.f32)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (neg.f32 alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 (neg.f32 alpha) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/.f32 (neg.f32 alpha) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 cosTheta alpha) (.f32 cosTheta alpha))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (.f32 (.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) cosTheta) cosTheta)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (PI.f32)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Outputs

(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) (-.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) (/.f32 (neg.f32 alpha) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))

Calls

4 calls:

43.0ms	(/.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))))
40.0ms	alpha
36.0ms	(*.f32 alpha alpha)
36.0ms	cosTheta

Results

Accuracy	Segments	Branch
3.7%	1	`(*.f32 alpha alpha)`
3.7%	1	`alpha`
3.7%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
3.7%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes62.0ms (0.7%)

Memory

-19.0MiB live, 42.9MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 #s(approx ( alpha alpha) (.f32 alpha alpha)) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (.f32 (NAN.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32) (.f32 (.f32 (.f32 cosTheta cosTheta) (NAN.f32)) (.f32 (PI.f32) (*.f32 alpha alpha))))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (fma.f32 (.f32 (.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha) (/.f32 (NAN.f32) alpha))) (*.f32 alpha alpha))))
(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
(fma.f32 (/.f32 alpha #s(approx (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))
#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
#s(approx (+ (* (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (/ (neg alpha) (* (/ 0 0) (PI)))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (fma.f32 (/.f32 (fma.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (.f32 alpha alpha) #s(literal 1 binary32))) (.f32 (NAN.f32) (PI.f32))) (.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (fma.f32 (neg.f32 cosTheta) (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32))) (/.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ 1 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 (PI.f32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (.f32 (.f32 cosTheta cosTheta) (PI.f32)) alpha) alpha))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx ( (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))) (/.f32 (.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) (.f32 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))

Outputs

(fma.f32 #s(approx (/ alpha (+ (* (neg cosTheta) (* cosTheta (+ (* alpha alpha) -1))) -1)) (neg.f32 alpha)) (/.f32 (neg.f32 alpha) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta))))

Calls

4 calls:

35.0ms	cosTheta
8.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
8.0ms	alpha
8.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
3.6%	1	`(*.f32 alpha alpha)`
3.6%	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))))`
3.6%	1	`alpha`
3.6%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes51.0ms (0.6%)

Memory

-27.0MiB live, 17.8MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (PI.f32))) (/.f32 (*.f32 alpha alpha) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (/.f32 #s(literal -1 binary32) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (NAN.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	(*.f32 alpha alpha)
3.0ms	alpha
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
3.5%	1	`(*.f32 alpha alpha)`
3.5%	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))))`
3.5%	1	`alpha`
3.5%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes12.0ms (0.1%)

Memory

32.4MiB live, 32.4MiB allocated

Counts

9 → 1

Calls

Call 1

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

Outputs

(/.f32 (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))

Calls

4 calls:

3.0ms	cosTheta
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)

Results

Accuracy	Segments	Branch
3.5%	1	`(*.f32 alpha alpha)`
3.5%	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))))`
3.5%	1	`alpha`
3.5%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes40.0ms (0.5%)

Memory

-28.7MiB live, 16.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(approx (* alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32)))))

Calls

4 calls:

34.0ms	(*.f32 alpha alpha)
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	alpha
2.0ms	cosTheta

Results

Accuracy	Segments	Branch
3.2%	1	`(*.f32 alpha alpha)`
3.2%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
3.2%	1	`alpha`
3.2%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes5.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
-0.0%	1	`(*.f32 alpha alpha)`
-0.0%	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))))`
-0.0%	1	`alpha`
-0.0%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify15.0ms (0.2%)

Memory

25.1MiB live, 25.1MiB allocated

Algorithm

1×	egg-herbie

Stop Event

1×	iter limit
1×	unsound

Calls

Call 1

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

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

derivations1.1s (13.5%)

Memory

19.2MiB live, 584.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	729	5917
1	2310	5602
0	8319	5480
0	69	490
0	126	485
0	822	6703
1	2466	6392
0	8252	6254
0	13	65
0	23	65
1	101	65
2	818	63
0	8860	55
0	62	387
0	111	387
0	197	1450
1	572	1398
2	2417	1236
0	8614	1182
0	756	6415
1	2313	6129
0	8223	5981

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 533 to 132 computations (75.2% saved)

preprocess181.0ms (2.2%)

Memory

-56.4MiB live, 156.5MiB allocated

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 1 306 to 394 computations (69.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze71.0ms (0.8%)

sample2.0s (23.8%)

explain178.0ms (2.1%)

preprocess125.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify91.0ms (1.1%)

localize46.0ms (0.6%)

series59.0ms (0.7%)

simplify164.0ms (2%)

rewrite175.0ms (2.1%)

eval55.0ms (0.7%)

prune45.0ms (0.5%)

simplify8.0ms (0.1%)

localize190.0ms (2.3%)

series236.0ms (2.8%)

simplify296.0ms (3.5%)

rewrite18.0ms (0.2%)

eval83.0ms (1%)

prune132.0ms (1.6%)

simplify9.0ms (0.1%)

localize192.0ms (2.3%)

series132.0ms (1.6%)

simplify220.0ms (2.6%)

rewrite20.0ms (0.2%)

eval46.0ms (0.6%)

prune92.0ms (1.1%)

simplify10.0ms (0.1%)

localize165.0ms (2%)

series56.0ms (0.7%)

simplify200.0ms (2.4%)

rewrite24.0ms (0.3%)

eval55.0ms (0.7%)

prune200.0ms (2.4%)

regimes180.0ms (2.2%)

regimes163.0ms (1.9%)

regimes173.0ms (2.1%)

regimes179.0ms (2.1%)

regimes153.0ms (1.8%)

regimes168.0ms (2%)

regimes146.0ms (1.7%)

regimes154.0ms (1.8%)

regimes162.0ms (1.9%)

regimes62.0ms (0.7%)

regimes51.0ms (0.6%)

regimes12.0ms (0.1%)

regimes40.0ms (0.5%)

regimes5.0ms (0.1%)

simplify15.0ms (0.2%)

derivations1.1s (13.5%)

preprocess181.0ms (2.2%)

end0.0ms (0%)

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