Metrics for GTR1 distribution

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze67.0ms (0.8%)

Memory

-4.1MiB live, 35.0MiB 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)

sample2.5s (28.7%)

Memory

39.2MiB live, 2 183.2MiB allocated

Samples

1.9s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

const: 402.0ms (29.4% of total)

ival-mult: 373.0ms (27.3% of total)

ival-log: 198.0ms (14.5% of total)

ival-add: 113.0ms (8.3% of total)

ival-<=: 82.0ms (6% of total)

ival-div: 79.0ms (5.8% of total)

ival-pi: 45.0ms (3.3% of total)

ival-sub: 36.0ms (2.6% of total)

ival-and: 25.0ms (1.8% of total)

exact: 11.0ms (0.8% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain289.0ms (3.3%)

Memory

0.7MiB live, 503.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

54.0ms

512×

valid

Compiler

Compiled 392 to 100 computations (74.5% saved)

Precisions

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

ival-mult: 17.0ms (45.5% of total)

ival-div: 7.0ms (18.7% of total)

ival-log: 6.0ms (16.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

preprocess198.0ms (2.3%)

Memory

19.9MiB live, 274.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	130
1	148	122
2	629	120
3	3565	120
4	7829	120
0	13	24
0	23	24
1	51	24
2	159	24
3	643	24
4	2693	24
5	4403	24
6	7704	24
0	8552	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(/.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

▶

98.4%

(/.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)

simplify197.0ms (2.2%)

Memory

-7.1MiB live, 246.6MiB 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	64	(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
cost-diff	64	(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	91
0	23	91
1	51	91
2	159	91
3	643	91
4	2693	91
5	4403	91
6	7704	91
0	8552	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

localize48.0ms (0.6%)

Memory

-8.5MiB live, 65.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.203125	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.328125	(/.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	0.39681625976844204	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

39.0ms

256×

valid

Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 13.0ms (41.9% of total)

ival-mult: 8.0ms (25.8% of total)

ival-log: 7.0ms (22.6% of total)

ival-div: 2.0ms (6.4% of total)

ival-pi: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory

9.0MiB live, 89.9MiB 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
37.0ms	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))
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))
8.0ms	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))
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))
3.0ms	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))

simplify175.0ms (2%)

Memory

-7.8MiB live, 179.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1444
1	582	1399
2	2228	1346
0	8717	1288

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

rewrite240.0ms (2.7%)

Memory

19.7MiB live, 221.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	65
0	23	65
1	98	65
2	768	63
0	8446	55

Stop Event

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

Counts

7 → 609

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 #s(literal 0 binary32) #s(literal 0 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 (neg.f32 alpha) #s(literal -1 binary32))) (-.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) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(*.f32 (+.f32 (neg.f32 alpha) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) alpha))
(*.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #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 #s(literal 1 binary32) (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (neg.f32 (-.f32 #s(literal 1 binary32) alpha)))
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32)))
(*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 alpha alpha)))
(.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))))
(*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #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)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 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)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (*.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))))))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 alpha) alpha))))
(/.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 (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (fma.f32 alpha alpha (+.f32 #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 8 binary32)) #s(literal 1 binary32)) #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 (-.f32 (pow.f32 alpha #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 alpha #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 12 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 18 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 (pow.f32 alpha #s(literal 12 binary32)) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(/.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)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) (.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (fma.f32 alpha alpha (+.f32 #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 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(/.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)))
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(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta)) (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 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)))) (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 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) (fma.f32 alpha alpha (+.f32 #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))) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))
(/.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))))
(fma.f32 (.f32 cosTheta #s(literal 1 binary32)) (.f32 alpha alpha) (.f32 (.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta #s(literal 1 binary32)) (.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (.f32 cosTheta alpha) alpha (.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta alpha) alpha (.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 (fma.f32 alpha cosTheta cosTheta) alpha (*.f32 (fma.f32 alpha cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta (.f32 alpha alpha)) #s(literal 1 binary32) (.f32 (.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 cosTheta (.f32 alpha alpha)) #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) cosTheta (.f32 (.f32 alpha alpha) cosTheta))
(fma.f32 cosTheta #s(literal -1 binary32) (.f32 cosTheta (.f32 alpha alpha)))
(fma.f32 cosTheta (.f32 alpha alpha) (.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(fma.f32 cosTheta (.f32 alpha alpha) (.f32 cosTheta #s(literal -1 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) cosTheta) (*.f32 #s(literal 1 binary32) (neg.f32 cosTheta)))
(fma.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 alpha alpha)) (.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -1 binary32))))
(fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta))
(fma.f32 alpha (fma.f32 alpha cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (fma.f32 alpha cosTheta cosTheta)))
(+.f32 (.f32 (.f32 (.f32 alpha alpha) cosTheta) #s(literal 1 binary32)) (.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
(+.f32 (.f32 alpha (fma.f32 alpha cosTheta cosTheta)) (.f32 #s(literal -1 binary32) (fma.f32 alpha cosTheta cosTheta)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 alpha alpha) cosTheta)) (.f32 #s(literal 1 binary32) (neg.f32 cosTheta)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 cosTheta (.f32 alpha alpha))) (.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32))))
(+.f32 (.f32 (fma.f32 alpha cosTheta cosTheta) alpha) (.f32 (fma.f32 alpha cosTheta cosTheta) #s(literal -1 binary32)))
(+.f32 (neg.f32 cosTheta) (.f32 (.f32 alpha alpha) cosTheta))
(+.f32 (.f32 (.f32 alpha alpha) cosTheta) (neg.f32 cosTheta))
(+.f32 (.f32 cosTheta #s(literal -1 binary32)) (.f32 cosTheta (*.f32 alpha alpha)))
(+.f32 (.f32 cosTheta (.f32 alpha alpha)) (.f32 (.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32)))
(+.f32 (.f32 cosTheta (.f32 alpha alpha)) (*.f32 cosTheta #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 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))
(.f32 (.f32 (*.f32 cosTheta cosTheta) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(.f32 (.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (-.f32 alpha #s(literal 1 binary32)))
(.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 (.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32)))
(.f32 (.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))))
(.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 #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)) (neg.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 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) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))))
(/.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))) (.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)))
(fma.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (.f32 cosTheta (.f32 alpha alpha)) cosTheta (.f32 (.f32 cosTheta #s(literal -1 binary32)) cosTheta))
(fma.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32) (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)))
(fma.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha) (.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta) (.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta)))
(fma.f32 cosTheta (.f32 (.f32 alpha alpha) cosTheta) (*.f32 cosTheta (neg.f32 cosTheta)))
(fma.f32 cosTheta (.f32 cosTheta (.f32 alpha alpha)) (.f32 cosTheta (.f32 cosTheta #s(literal -1 binary32))))
(fma.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta) (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta cosTheta)) (.f32 (.f32 alpha alpha) (*.f32 cosTheta cosTheta)))
(+.f32 (.f32 (.f32 alpha alpha) (.f32 cosTheta cosTheta)) (.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)))
(+.f32 (.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta) (.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 (.f32 (.f32 cosTheta (.f32 alpha alpha)) cosTheta) (.f32 (*.f32 cosTheta #s(literal -1 binary32)) cosTheta))
(+.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32)) (.f32 (.f32 cosTheta cosTheta) (*.f32 alpha alpha)))
(+.f32 (.f32 (.f32 cosTheta cosTheta) (.f32 alpha alpha)) (.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(+.f32 (.f32 cosTheta (.f32 (.f32 alpha alpha) cosTheta)) (.f32 cosTheta (neg.f32 cosTheta)))
(+.f32 (.f32 cosTheta (.f32 cosTheta (.f32 alpha alpha))) (.f32 cosTheta (*.f32 cosTheta #s(literal -1 binary32))))

eval95.0ms (1.1%)

Memory: 6.5MiB live, 161.2MiB allocated
Compiler: Compiled 27 523 to 2 882 computations (89.5% saved)

prune59.0ms (0.7%)

Memory

-19.1MiB live, 74.3MiB allocated

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	731	26	757
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	732	26	758

Accuracy

99.4%

Counts

758 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-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 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 (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 (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 alpha #s(literal 1 binary32)) (/.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 (/.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) (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 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (.f32 alpha 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 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 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)) (-.f32 (pow.f32 alpha #s(literal 6 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 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	84.4%	(/.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))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	7.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	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))))
	98.3%	(/.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	65.4%	(/.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))))
	9.1%	#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))))
▶	65.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))

Compiler

Compiled 1 708 to 956 computations (44% saved)

simplify8.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f32 #s(literal 1 binary32) alpha)
cost-diff	0	(-.f32 alpha #s(literal 1 binary32))
cost-diff	0	(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
cost-diff	0	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
cost-diff	0	(.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))
cost-diff	0	(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
cost-diff	0	(/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha))
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 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
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 alpha (.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 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)))))
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	(pow.f32 alpha #s(literal 4 binary32))
cost-diff	0	(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
cost-diff	0	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	519
0	93	519

Stop Event

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

Calls

Call 1

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

Outputs
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))
#s(literal 1 binary32)
(pow.f32 alpha #s(literal 4 binary32))
alpha
#s(literal 4 binary32)
(-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))
#s(literal -1 binary32)
(*.f32 alpha alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta
(/.f32 (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 (.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)))))
(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
alpha
(.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))
#s(literal -1 binary32)
#s(literal 1 binary32)
(PI.f32)
(/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.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 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
(/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha))
(/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))))
#s(literal -1/2 binary32)
(.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))
(PI.f32)
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))
#s(literal 1 binary32)
(*.f32 cosTheta cosTheta)
cosTheta
(log.f32 alpha)
alpha
(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha))
(-.f32 alpha #s(literal 1 binary32))
alpha
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) alpha)
(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
(PI.f32)
(log.f32 (*.f32 alpha alpha))
(*.f32 alpha alpha)
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta

localize163.0ms (1.9%)

Memory

-0.8MiB live, 316.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0	(*.f32 alpha alpha)
accuracy	0	(log.f32 (*.f32 alpha alpha))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(*.f32 cosTheta cosTheta)
accuracy	0	(log.f32 alpha)
accuracy	0	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
accuracy	29.98788023102775	(PI.f32)
accuracy	13.909467786330946	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	14.713555071915303	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	15.664291429928676	(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)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
accuracy	11.358483727983128	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	14.799289624869358	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0	(*.f32 alpha alpha)
accuracy	0	(log.f32 (*.f32 alpha alpha))
accuracy	29.98788023102775	(PI.f32)

Samples

102.0ms

256×

invalid

Compiler

Compiled 1 057 to 103 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 23.0ms (31% of total)

ival-log: 19.0ms (25.6% of total)

ival-div: 15.0ms (20.2% of total)

ival-sub: 6.0ms (8.1% of total)

ival-add: 5.0ms (6.7% of total)

ival-pow: 3.0ms (4% of total)

ival-pi: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series154.0ms (1.8%)

Memory

2.1MiB live, 276.9MiB allocated

Counts

27 → 134

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	alpha	@	-inf	((/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (/ (+ (* 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 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* 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 (* (PI) (- 1 (* cosTheta cosTheta)))) (log alpha)) (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (* (PI) (- 1 (* cosTheta cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (log alpha) (* cosTheta cosTheta))
39.0ms	alpha	@	0	((/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (/ (+ (* 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 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* 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 (* (PI) (- 1 (* cosTheta cosTheta)))) (log alpha)) (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (* (PI) (- 1 (* cosTheta cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (log alpha) (* cosTheta cosTheta))
24.0ms	alpha	@	inf	((/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (/ (+ (* 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 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* 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 (* (PI) (- 1 (* cosTheta cosTheta)))) (log alpha)) (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (* (PI) (- 1 (* cosTheta cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (log alpha) (* cosTheta cosTheta))
11.0ms	cosTheta	@	-inf	((/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (/ (+ (* 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 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* 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 (* (PI) (- 1 (* cosTheta cosTheta)))) (log alpha)) (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (* (PI) (- 1 (* cosTheta cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (log alpha) (* cosTheta cosTheta))
9.0ms	cosTheta	@	0	((/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (- 1 (pow alpha 4)) (pow alpha 4) (/ (+ (* 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 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* 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 (* (PI) (- 1 (* cosTheta cosTheta)))) (log alpha)) (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (* (PI) (- 1 (* cosTheta cosTheta))) (/ (* (- alpha 1) (+ 1 alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- alpha 1) (+ 1 alpha)) (- alpha 1) (+ 1 alpha) (PI) (log (* alpha alpha)) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* cosTheta (+ (* alpha alpha) -1)) (log alpha) (* cosTheta cosTheta))

simplify159.0ms (1.8%)

Memory

22.1MiB live, 207.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	657	5176
1	2189	4852
0	8962	4645

Stop Event

1×	iter limit
1×	node limit

Counts

134 → 133

Calls

Call 1

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

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

rewrite315.0ms (3.6%)

Memory

-186.7MiB live, 41.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	297
0	93	297

Stop Event

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

Counts

27 → 30

Calls

Call 1

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

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

eval24.0ms (0.3%)

Memory: -5.6MiB live, 36.0MiB allocated
Compiler: Compiled 11 997 to 964 computations (92% saved)

prune55.0ms (0.6%)

Memory

-2.1MiB live, 114.5MiB allocated

Pruning

52 alts after pruning (49 fresh and 3 done)

	Pruned	Kept	Total
New	188	35	223
Fresh	7	14	21
Picked	2	3	5
Done	0	0	0
Total	197	52	249

Accuracy

99.6%

Counts

249 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-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 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 (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 (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 (+.f32 (.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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) 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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) 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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) 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) (+.f32 (.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) #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 (.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) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.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) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.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) #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 (.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.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 #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 (.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (*.f32 (fma.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 (.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.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 #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 (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) 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 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) 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 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) 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 (.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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #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 #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) (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 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha)) (/.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 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (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%	(/.f32 (fma.f32 alpha alpha #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))))
✓	98.3%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)) (-.f32 (pow.f32 alpha #s(literal 6 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 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	84.3%	(/.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))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	7.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
▶	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))))
	98.3%	(/.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (+.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 (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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))))
▶	65.4%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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))))
	65.3%	#s(approx (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (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))))
	10.8%	#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))))
✓	65.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
	35.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) #s(approx (* (PI) (- 1 (* cosTheta cosTheta))) (.f32 (.f32 (-.f32 (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (PI.f32)) cosTheta) cosTheta))) (log.f32 alpha)))
	64.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (log.f32 alpha)))
	64.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (log alpha)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))

Compiler

Compiled 3 935 to 2 352 computations (40.2% saved)

simplify9.0ms (0.1%)

Memory

-25.3MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
cost-diff	0	(.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))
cost-diff	0	#s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32))
cost-diff	0	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
cost-diff	0	(.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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)))))
cost-diff	64	(+.f32 (*.f32 alpha alpha) #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 alpha (.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 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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
cost-diff	0	(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
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	64	(+.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	59	651
0	104	649

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)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#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)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(PI.f32)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
alpha
(.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))
#s(literal -1 binary32)
#s(literal 1 binary32)
(PI.f32)
(/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta)))
(.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))
(.f32 (.f32 alpha alpha) (PI.f32))
(*.f32 alpha alpha)
(*.f32 cosTheta cosTheta)
(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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)))))
(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
alpha
(.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
(.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)))
cosTheta
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(*.f32 alpha alpha)
#s(literal -1 binary32)
#s(literal 1 binary32)
(PI.f32)
(/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.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)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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))))
#s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha 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)
alpha
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(literal 1 binary32)
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta

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)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #s(literal -1 binary32))
alpha
#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)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(PI.f32)
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
alpha
(.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))
#s(literal -1 binary32)
#s(literal 1 binary32)
(PI.f32)
(/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32))
#s(literal 0 binary32)
(/.f32 #s(literal -1 binary32) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta)))
(.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))
(.f32 (.f32 alpha alpha) (PI.f32))
(*.f32 alpha alpha)
(*.f32 cosTheta cosTheta)
(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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)))))
(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)))))
(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
alpha
(.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.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 (+.f32 (.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 (+.f32 (.f32 alpha alpha) #s(literal -1 binary32)))
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))
cosTheta
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(fma.f32 alpha alpha #s(literal -1 binary32))
(*.f32 alpha alpha)
#s(literal -1 binary32)
#s(literal 1 binary32)
(PI.f32)
(/.f32 alpha (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
(/.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)))
(fma.f32 alpha alpha #s(literal -1 binary32))
(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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))))
#s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha 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)
alpha
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))
#s(literal 1 binary32)
(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
cosTheta

localize150.0ms (1.7%)

Memory

9.0MiB live, 160.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 alpha alpha)
accuracy	0	(log.f32 (*.f32 alpha alpha))
accuracy	0	#s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	5.294531106336474	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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)))))
accuracy	5.563133323685149	(fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	5.96997216423557	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	4.035376477957483	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	5.90191197080328	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	11.545274030172257	(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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
accuracy	0	#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
accuracy	12.05780688070611	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	0	(*.f32 alpha alpha)
accuracy	0	(log.f32 (*.f32 alpha alpha))
accuracy	29.98788023102775	(PI.f32)

Samples

108.0ms

256×

invalid

Compiler

Compiled 1 324 to 105 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-mult: 43.0ms (51.4% of total)

ival-div: 23.0ms (27.5% of total)

ival-add: 5.0ms (6% of total)

ival-sub: 5.0ms (6% of total)

ival-log: 3.0ms (3.6% of total)

ival-pow: 3.0ms (3.6% of total)

ival-pi: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

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

series53.0ms (0.6%)

Memory

15.8MiB live, 95.2MiB allocated

Counts

24 → 99

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)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #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)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 alpha (.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 alpha alpha) #s(literal -1 binary32))
(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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)))))
(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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))))
#s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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 alpha alpha)
(fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))

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

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	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)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (* alpha alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))
12.0ms	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)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (* alpha alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))
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)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (* alpha alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))
6.0ms	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)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (* alpha alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))
5.0ms	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)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (/ (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (PI) (log (* alpha alpha)) (* alpha alpha) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))

simplify185.0ms (2.1%)

Memory

7.7MiB live, 229.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	565	4787
1	1942	4421
0	8636	4224

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

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

rewrite16.0ms (0.2%)

Memory

21.8MiB live, 21.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	334
0	104	332

Stop Event

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

Counts

24 → 31

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)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))
(fma.f32 alpha alpha #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)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 alpha (.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 alpha alpha) #s(literal -1 binary32))
(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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)))))
(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
(.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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))))
#s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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 alpha alpha)
(fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))

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)) (.f32 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))
#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32))
(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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(+.f32 (.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 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(/.f32 alpha (.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 alpha alpha #s(literal -1 binary32))
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
(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)))))
(+.f32 (.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)))))
(/.f32 alpha (.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))
(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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))))
#s(approx (/ (- 1 (pow alpha 4)) (- -1 (* 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 alpha alpha)
(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))

eval47.0ms (0.5%)

Memory: -42.5MiB live, 53.8MiB allocated
Compiler: Compiled 10 689 to 837 computations (92.2% saved)

prune69.0ms (0.8%)

Memory

7.4MiB live, 166.6MiB allocated

Pruning

77 alts after pruning (70 fresh and 7 done)

	Pruned	Kept	Total
New	145	28	173
Fresh	2	42	44
Picked	1	4	5
Done	0	3	3
Total	148	77	225

Accuracy

99.7%

Counts

225 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-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 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 (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 (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 (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 (+.f32 (.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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) 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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) 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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) 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) (+.f32 (.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) #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)))))
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	84.0%	(/.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))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	7.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	11.4%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) #s(literal -2 binary32)) (fma.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (PI.f32) (*.f32 alpha alpha)))))))
	5.0%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
▶	95.2%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.2%	(/.f32 (+.f32 (.f32 (-.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))))
	98.3%	(/.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (+.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 (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) 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))))
✓	65.4%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	7.8%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) #s(literal -2 binary32)) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)))))
	5.4%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
	65.3%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 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)))))
	64.7%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.0%	(/.f32 #s(approx (+ (* (- alpha 1) alpha) (* (- alpha 1) 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))))
✓	65.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
	35.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) #s(approx (* (PI) (- 1 (* cosTheta cosTheta))) (.f32 (.f32 (-.f32 (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (PI.f32)) cosTheta) cosTheta))) (log.f32 alpha)))
	64.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (log.f32 alpha)))
	64.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (log alpha)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))

Compiler

Compiled 6 264 to 3 657 computations (41.6% saved)

simplify9.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
cost-diff	64	(+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)))
cost-diff	0	(.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))
cost-diff	0	(/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	64	(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32))
cost-diff	0	#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))
cost-diff	0	(.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha)) (PI.f32))
cost-diff	0	(/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha)) (PI.f32)))
cost-diff	0	(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (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)))))
cost-diff	0	(PI.f32)
cost-diff	0	(/.f32 alpha (PI.f32))
cost-diff	0	#s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (PI.f32)))
cost-diff	0	(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
cost-diff	0	(.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (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 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (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	75	773
0	134	771

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

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

localize131.0ms (1.5%)

Memory

-0.8MiB live, 226.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 alpha alpha)
accuracy	0	(log.f32 (*.f32 alpha alpha))
accuracy	0	#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32)))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	#s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))
accuracy	5.480610350807942	(fma.f32 (.f32 cosTheta (+.f32 (.f32 alpha alpha) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	5.61479977187816	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	1.3261431733289282	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	4.2869753991194735	(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (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)))))
accuracy	5.511495839250794	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	#s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (PI.f32)))
accuracy	0	#s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta)))
accuracy	14.424414777686703	(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0	(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))
accuracy	0	(*.f32 alpha alpha)
accuracy	0	(log.f32 alpha)
accuracy	29.98788023102775	(PI.f32)

Samples

84.0ms

256×

invalid

Compiler

Compiled 1 503 to 125 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 31.0ms (53.1% of total)

ival-div: 10.0ms (17.1% of total)

ival-add: 8.0ms (13.7% of total)

ival-log: 5.0ms (8.6% of total)

ival-sub: 2.0ms (3.4% of total)

ival-pi: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series94.0ms (1.1%)

Memory

19.9MiB live, 178.7MiB allocated

Counts

29 → 108

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	alpha	@	-inf	((/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (PI)) (PI) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (- 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) (log alpha) (* (log alpha) (+ (PI) (PI))) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (* alpha alpha)))
22.0ms	alpha	@	inf	((/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (PI)) (PI) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (- 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) (log alpha) (* (log alpha) (+ (PI) (PI))) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (* alpha alpha)))
19.0ms	alpha	@	0	((/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (PI)) (PI) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (- 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) (log alpha) (* (log alpha) (+ (PI) (PI))) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (* alpha alpha)))
11.0ms	cosTheta	@	-inf	((/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (PI)) (PI) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (- 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) (log alpha) (* (log alpha) (+ (PI) (PI))) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (* alpha alpha)))
8.0ms	cosTheta	@	0	((/ (- (* alpha alpha) 1) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (PI)) (PI) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (+ (* (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/ alpha (/ 0 0))) (/ -1 (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)))) (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (+ (* (- 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) (log alpha) (* (log alpha) (+ (PI) (PI))) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log (* alpha alpha)))

simplify203.0ms (2.3%)

Memory

-6.3MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	4299
1	1775	4120
2	7285	4098
0	8094	3928

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

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

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

rewrite26.0ms (0.3%)

Memory

-16.1MiB live, 23.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	449
0	134	447

Stop Event

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

Counts

29 → 37

Calls

Call 1

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

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

eval38.0ms (0.4%)

Memory: -3.2MiB live, 35.2MiB allocated
Compiler: Compiled 9 702 to 802 computations (91.7% saved)

prune124.0ms (1.4%)

Memory

9.1MiB live, 129.9MiB allocated

Pruning

94 alts after pruning (83 fresh and 11 done)

	Pruned	Kept	Total
New	137	22	159
Fresh	4	61	65
Picked	0	5	5
Done	1	6	7
Total	142	94	236

Accuracy

99.7%

Counts

236 → 94

Alt Table

Click to see full alt table

Status	Accuracy	Program
	-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 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 (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 (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 (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 (+.f32 (.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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) 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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) 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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) 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) (+.f32 (.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) #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 (.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) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.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) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))) (/.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) #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 (.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (PI.f32))) (/.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 #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 (.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (*.f32 (fma.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 (.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.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 #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 (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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 (fma.f32 (.f32 cosTheta (+.f32 (.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 (fma.f32 (.f32 cosTheta (+.f32 (.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 (+.f32 (*.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 (+.f32 (.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) (+.f32 (.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 (+.f32 (.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) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) 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 (+.f32 (.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) #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 (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (*.f32 alpha alpha) cosTheta) cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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) #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 (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) 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 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (.f32 (.f32 alpha alpha) cosTheta)) 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 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) 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 (.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 (.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 #s(approx (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.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 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%	(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta)) (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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta)) (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #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 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 (/.f32 alpha #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 cosTheta cosTheta) (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 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) cosTheta) cosTheta))) (/.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 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta)))) (/.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 (* (+ (* (* 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 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 (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (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 #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) (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 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha)) (/.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 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha)) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)) alpha)) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
	-0.0%	(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (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 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
✓	-0.0%	(/.f32 (fma.f32 alpha alpha #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))))
✓	98.3%	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.2%	(/.f32 (-.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	84.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 #s(approx (- ( alpha alpha) 1) (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) cosTheta))))
	84.0%	(/.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))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))
	7.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (.f32 (.f32 (*.f32 cosTheta cosTheta) alpha) alpha))))
	95.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32))))
	6.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (log.f32 alpha) cosTheta) cosTheta))))))
	95.1%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (log alpha) (+ (PI) (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)))))
	10.5%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) #s(literal -2 binary32)) (fma.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (PI.f32) (*.f32 alpha alpha)))))))
✓	95.2%	(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	95.0%	(/.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))) #s(approx ( (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.3%	(/.f32 (+.f32 (.f32 alpha (+.f32 #s(literal 1 binary32) alpha)) (+.f32 (neg.f32 alpha) #s(literal -1 binary32))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.1%	(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.1%	(/.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 (.f32 #s(approx (- alpha 1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) (+.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))))
	7.8%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) #s(literal -2 binary32)) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta)))))
	5.7%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
	65.3%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 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)))))
	64.7%	(/.f32 #s(approx (/ (- 1 (pow alpha 4)) (- -1 (* alpha alpha))) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (log.f32 (.f32 alpha alpha)) (PI.f32))))
	98.1%	(/.f32 #s(approx (- (* alpha alpha) 1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	65.4%	(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (.f32 (.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.0%	(/.f32 #s(approx (+ (* (- alpha 1) alpha) (* (- alpha 1) 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))))
✓	65.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)))) (log.f32 alpha)))
	35.1%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) #s(approx (* (PI) (- 1 (* cosTheta cosTheta))) (.f32 (.f32 (-.f32 (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (PI.f32)) cosTheta) cosTheta))) (log.f32 alpha)))
	64.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (/.f32 #s(literal -1/2 binary32) (PI.f32))) (log.f32 alpha)))
	64.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ -1/2 (* (PI) (- 1 (* cosTheta cosTheta)))) (log alpha)) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))

Compiler

Compiled 8 688 to 2 793 computations (67.9% saved)

regimes229.0ms (2.6%)

Memory

18.0MiB live, 136.5MiB allocated

Counts

112 → 1

Calls

Call 1

Inputs
(/.f32 (fma.f32 alpha alpha #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))))
(/.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 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (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)))))
(fma.f32 (/.f32 alpha #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (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)))))
(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 #s(approx ( (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)) (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #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)))))
(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #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)))))
(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) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 #s(approx (/ alpha (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI))) (/.f32 alpha (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32)))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (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)))))
(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (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)))))
(fma.f32 (/.f32 alpha (.f32 (fma.f32 #s(approx ( cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) 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)))))
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(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) #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)))))
(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 #s(approx (* cosTheta (+ (* alpha alpha) -1)) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (+.f32 (.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) #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)))))
(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)))))
(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (/.f32 (.f32 alpha 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 (/.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 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 (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta)) (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta)) (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
(fma.f32 (/.f32 alpha #s(approx (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta)))) (/.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 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 alpha alpha) cosTheta) cosTheta)) (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)))))
(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (.f32 (.f32 cosTheta cosTheta) alpha) alpha)) (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)))))
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(fma.f32 (/.f32 alpha (.f32 #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (fma.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta #s(literal 1 binary32))) (PI.f32))) (/.f32 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)) (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))))
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(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 #s(literal -1 binary32) (.f32 alpha alpha))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) #s(approx ( (* (log alpha) (+ (PI) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32)) (.f32 (PI.f32) (fma.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (/.f32 (log.f32 alpha) cosTheta) cosTheta))))))
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (.f32 alpha alpha)) (/.f32 (log.f32 (.f32 alpha alpha)) (.f32 cosTheta cosTheta)))) (.f32 cosTheta cosTheta))))
(/.f32 (+.f32 (.f32 (-.f32 alpha #s(literal 1 binary32)) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (.f32 (.f32 (.f32 alpha alpha) #s(literal -2 binary32)) (fma.f32 (.f32 (neg.f32 (log.f32 alpha)) (PI.f32)) (.f32 cosTheta cosTheta) (.f32 (.f32 (neg.f32 (log.f32 alpha)) (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta))) (/.f32 (PI.f32) (*.f32 alpha alpha)))))))
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)) (-.f32 (pow.f32 alpha #s(literal 6 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 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 alpha) alpha)))) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

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:

73.0ms	(/.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))))
68.0ms	cosTheta
56.0ms	(*.f32 alpha alpha)
28.0ms	alpha

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes165.0ms (1.9%)

Memory

-26.9MiB live, 133.4MiB allocated

Counts

93 → 1

Calls

Call 1

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

Calls

4 calls:

46.0ms	(*.f32 alpha alpha)
40.0ms	alpha
36.0ms	(/.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))))
23.0ms	cosTheta

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta`
98.3%	1	`alpha`
98.3%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes121.0ms (1.4%)

Memory

37.6MiB live, 151.5MiB allocated

Counts

92 → 1

Calls

Call 1

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

38.0ms	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))))
27.0ms	cosTheta
23.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
96.6%	1	`cosTheta`
96.6%	1	`alpha`
96.6%	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))))`
96.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes139.0ms (1.6%)

Memory

-21.3MiB live, 60.4MiB allocated

Counts

83 → 1

Calls

Call 1

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

47.0ms	cosTheta
46.0ms	(*.f32 alpha alpha)
21.0ms	(/.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))))
21.0ms	alpha

Results

Accuracy	Segments	Branch
96.6%	1	`cosTheta`
96.6%	1	`alpha`
96.6%	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))))`
96.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes123.0ms (1.4%)

Memory

30.4MiB live, 104.0MiB allocated

Counts

82 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

50.0ms	(*.f32 alpha alpha)
28.0ms	alpha
21.0ms	(/.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))))
20.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.2%	1	`cosTheta`
95.2%	1	`alpha`
95.2%	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))))`
95.2%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes127.0ms (1.4%)

Memory

-35.9MiB live, 90.0MiB allocated

Counts

78 → 1

Calls

Call 1

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

Calls

4 calls:

53.0ms	cosTheta
29.0ms	alpha
21.0ms	(/.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))))
20.0ms	(*.f32 alpha alpha)

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

regimes139.0ms (1.6%)

Memory

2.2MiB live, 119.7MiB allocated

Counts

74 → 1

Calls

Call 1

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

Outputs

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

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))))
41.0ms	cosTheta
30.0ms	alpha
19.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
64.7%	1	`alpha`
64.7%	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))))`
64.7%	1	`(*.f32 alpha alpha)`
64.7%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes122.0ms (1.4%)

Memory

-25.1MiB live, 116.9MiB allocated

Counts

73 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

35.0ms	(*.f32 alpha alpha)
29.0ms	alpha
18.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
18.0ms	cosTheta

Results

Accuracy	Segments	Branch
64.7%	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))))`
64.7%	1	`alpha`
64.7%	1	`(*.f32 alpha alpha)`
64.7%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes110.0ms (1.2%)

Memory

20.3MiB live, 135.4MiB allocated

Counts

72 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

46.0ms	(/.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))))
22.0ms	cosTheta
20.0ms	alpha
18.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
64.7%	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))))`
64.7%	1	`cosTheta`
64.7%	1	`alpha`
64.7%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes122.0ms (1.4%)

Memory

-8.8MiB live, 110.5MiB allocated

Counts

71 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

46.0ms	cosTheta
28.0ms	(*.f32 alpha alpha)
27.0ms	(/.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))))
18.0ms	alpha

Results

Accuracy	Segments	Branch
2.4%	1	`cosTheta`
2.4%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
2.4%	1	`alpha`
2.4%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes10.0ms (0.1%)

Memory

19.8MiB live, 19.8MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
1.9%	1	`cosTheta`
1.9%	1	`alpha`
1.9%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
1.9%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes15.0ms (0.2%)

Memory

-21.1MiB live, 16.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

(/.f32 (fma.f32 alpha alpha #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))))

(/.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))))

Outputs
(/.f32 (fma.f32 alpha alpha #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))))

Calls

4 calls:

10.0ms	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	(*.f32 alpha alpha)
1.0ms	cosTheta

Results

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

Compiler

Compiled 29 to 20 computations (31% saved)

simplify39.0ms (0.4%)

Memory

1.0MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	416
1	131	416
2	140	416
3	149	416
4	151	416

Stop Event

1×

saturated

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

soundness1.2s (13.9%)

Memory

19.5MiB live, 806.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	565	4787
1	1942	4421
0	8636	4224
0	531	4299
1	1775	4120
2	7285	4098
0	8094	3928
0	197	1444
1	582	1399
2	2228	1346
0	8717	1288
0	657	5176
1	2189	4852
0	8962	4645
0	13	65
0	23	65
1	98	65
2	768	63
0	8446	55

Stop Event

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

Compiler

Compiled 933 to 392 computations (58% saved)

preprocess116.0ms (1.3%)

Memory

24.5MiB live, 139.8MiB allocated

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 1 648 to 648 computations (60.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze67.0ms (0.8%)

sample2.5s (28.7%)

explain289.0ms (3.3%)

preprocess198.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify197.0ms (2.2%)

localize48.0ms (0.6%)

series62.0ms (0.7%)

simplify175.0ms (2%)

rewrite240.0ms (2.7%)

eval95.0ms (1.1%)

prune59.0ms (0.7%)

simplify8.0ms (0.1%)

localize163.0ms (1.9%)

series154.0ms (1.8%)

simplify159.0ms (1.8%)

rewrite315.0ms (3.6%)

eval24.0ms (0.3%)

prune55.0ms (0.6%)

simplify9.0ms (0.1%)

localize150.0ms (1.7%)

series53.0ms (0.6%)

simplify185.0ms (2.1%)

rewrite16.0ms (0.2%)

eval47.0ms (0.5%)

prune69.0ms (0.8%)

simplify9.0ms (0.1%)

localize131.0ms (1.5%)

series94.0ms (1.1%)

simplify203.0ms (2.3%)

rewrite26.0ms (0.3%)

eval38.0ms (0.4%)

prune124.0ms (1.4%)

regimes229.0ms (2.6%)

regimes165.0ms (1.9%)

regimes121.0ms (1.4%)

regimes139.0ms (1.6%)

regimes123.0ms (1.4%)

regimes127.0ms (1.4%)

regimes139.0ms (1.6%)

regimes122.0ms (1.4%)

regimes110.0ms (1.2%)

regimes122.0ms (1.4%)

regimes10.0ms (0.1%)

regimes15.0ms (0.2%)

simplify39.0ms (0.4%)

soundness1.2s (13.9%)

preprocess116.0ms (1.3%)

end0.0ms (0%)

Profiling