Metrics for GTR1 distribution

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze58.0ms (0.3%)

Memory

-21.2MiB live, 92.2MiB 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)

sample1.6s (9.2%)

Memory

-21.6MiB live, 2 069.6MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 492.0ms (47.3% of total)

const: 125.0ms (12% of total)

ival-<=: 101.0ms (9.7% of total)

ival-log: 90.0ms (8.7% of total)

ival-div: 76.0ms (7.3% of total)

ival-sub: 55.0ms (5.3% of total)

ival-add: 36.0ms (3.5% of total)

ival-pi: 28.0ms (2.7% of total)

ival-and: 23.0ms (2.2% of total)

exact: 10.0ms (1% of total)

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

Bogosity

explain145.0ms (0.8%)

Memory

6.3MiB live, 282.5MiB 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	1	255

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

48.0ms

512×

valid

Compiler

Compiled 301 to 56 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 15.0ms (46.9% of total)

ival-log: 5.0ms (15.6% of total)

ival-div: 4.0ms (12.5% of total)

ival-add: 3.0ms (9.4% of total)

ival-pi: 2.0ms (6.2% of total)

ival-sub: 2.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess179.0ms (1%)

Memory

-6.4MiB live, 149.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	122
1	174	122
2	731	120
3	5708	120
0	13	24
0	23	24
1	66	24
2	280	24
3	1872	24
0	8288	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))))

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))))

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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize53.0ms (0.3%)

Memory

6.3MiB live, 52.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.140625	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28125	(/.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	0.410820019536884	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))

Samples

28.0ms

256×

valid

Compiler

Compiled 184 to 28 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 13.0ms (61.5% of total)

ival-log: 3.0ms (14.2% of total)

ival-div: 2.0ms (9.5% of total)

ival-pi: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series115.0ms (0.7%)

Memory

-2.5MiB live, 71.0MiB allocated

Counts

4 → 33

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
68.0ms	alpha	@	0	((* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
9.0ms	alpha	@	inf	((* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
8.0ms	alpha	@	-inf	((* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
3.0ms	cosTheta	@	0	((* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
2.0ms	cosTheta	@	inf	((* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))

simplify235.0ms (1.4%)

Memory

-31.4MiB live, 116.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1367
1	589	1317
2	2835	1182
0	8281	1125

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

Calls

Call 1

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

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

rewrite88.0ms (0.5%)

Memory

10.0MiB live, 47.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
0	23	46
1	116	46
0	1068	41

Stop Event

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

Counts

4 → 140

Calls

Call 1

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

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

eval46.0ms (0.3%)

Memory: -1.6MiB live, 37.2MiB allocated
Compiler: Compiled 6 354 to 672 computations (89.4% saved)

prune52.0ms (0.3%)

Memory

-11.1MiB live, 32.1MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	154	16	170
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	154	17	171

Accuracy

99.8%

Counts

171 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.3%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.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 (.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))) #s(literal 1 binary32))) (.f32 (.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 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (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 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	72.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 alpha alpha) cosTheta (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
✓	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))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
▶	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	8.5%	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	9.1%	(+.f32 (/.f32 (.f32 alpha alpha) (.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 #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)))))
	8.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	10.6%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	10.1%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)))))
	9.6%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
	8.6%	#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))))
▶	10.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))

Compiler

Compiled 1 024 to 553 computations (46% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize362.0ms (2.1%)

Memory

-14.7MiB live, 142.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.140625	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28125	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.31640625	(.f32 (.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
accuracy	0.4576950195368841	(.f32 (log.f32 (.f32 alpha alpha)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
accuracy	0.28125	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
accuracy	3.1529928215617002	(pow.f32 (*.f32 alpha alpha) (PI.f32))
accuracy	24.395928666055465	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	25.92758460240508	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	0.109375	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.140625	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28125	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.410820019536884	(*.f32 (log.f32 alpha) (PI.f32))
accuracy	0.28515625	(/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32))))
accuracy	0.410820019536884	(*.f32 (log.f32 alpha) (PI.f32))
accuracy	10.203148662137453	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
accuracy	21.42603099766601	(fma.f32 cosTheta cosTheta #s(literal -1 binary32))
accuracy	0.109375	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.140625	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28125	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	3.1529928215617002	(pow.f32 (*.f32 alpha alpha) (PI.f32))

Samples

316.0ms

256×

valid

Compiler

Compiled 988 to 94 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 297.0ms

ival-mult: 244.0ms (82.1% of total)

ival-pow2: 23.0ms (7.7% of total)

ival-div: 8.0ms (2.7% of total)

ival-log: 7.0ms (2.4% of total)

ival-pow: 5.0ms (1.7% of total)

ival-add: 4.0ms (1.3% of total)

ival-neg: 2.0ms (0.7% of total)

ival-pi: 1.0ms (0.3% of total)

ival-cbrt: 1.0ms (0.3% of total)

ival-sub: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series248.0ms (1.4%)

Memory

6.3MiB live, 165.9MiB allocated

Counts

15 → 90

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
115.0ms	alpha	@	-inf	((pow (* alpha alpha) (PI)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log alpha) (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))))
68.0ms	alpha	@	inf	((pow (* alpha alpha) (PI)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log alpha) (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))))
49.0ms	alpha	@	0	((pow (* alpha alpha) (PI)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log alpha) (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))))
5.0ms	cosTheta	@	0	((pow (* alpha alpha) (PI)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log alpha) (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))))
4.0ms	cosTheta	@	inf	((pow (* alpha alpha) (PI)) (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (+ (* cosTheta cosTheta) -1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (log alpha) (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (+ (* alpha alpha) -1) (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (cbrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))))

simplify439.0ms (2.5%)

Memory

18.5MiB live, 177.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	399	3371
1	1321	3127
2	5785	2811
0	8827	2689

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 90

Calls

Call 1

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

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

rewrite304.0ms (1.8%)

Memory

-22.4MiB live, 293.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	218
0	85	190
1	343	190
2	2517	190
0	8769	189

Stop Event

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

Counts

15 → 1 384

Calls

Call 1

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

Outputs
(*.f32 (neg.f32 (neg.f32 (pow.f32 alpha (PI.f32)))) (neg.f32 (neg.f32 (pow.f32 alpha (PI.f32)))))
(.f32 (exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 0 binary32))) (pow.f32 (.f32 alpha alpha) (PI.f32)))
(.f32 (pow.f32 (.f32 (neg.f32 alpha) alpha) (.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (.f32 (neg.f32 alpha) alpha) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (pow.f32 (pow.f32 alpha #s(literal 3 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 1/2 binary32)))
(.f32 (pow.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (log.f32 alpha))) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 alpha (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (pow.f32 alpha (PI.f32))) #s(literal 1 binary32)))
(.f32 (pow.f32 (neg.f32 (neg.f32 alpha)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (neg.f32 (neg.f32 alpha)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(.f32 (pow.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (*.f32 alpha alpha) (PI.f32)))
(.f32 (pow.f32 (neg.f32 (neg.f32 alpha)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (neg.f32 (neg.f32 alpha)) (.f32 #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(.f32 (pow.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (.f32 alpha alpha) (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 alpha)) (PI.f32)) (pow.f32 (neg.f32 (neg.f32 alpha)) (PI.f32)))
(.f32 (pow.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (.f32 alpha alpha) (PI.f32)))
(.f32 (pow.f32 (exp.f32 (cbrt.f32 (PI.f32))) (.f32 (log.f32 alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (pow.f32 (exp.f32 (cbrt.f32 (PI.f32))) (*.f32 (log.f32 alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (pow.f32 (exp.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (pow.f32 (exp.f32 (cbrt.f32 (PI.f32))) (log.f32 (pow.f32 alpha (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))))
(*.f32 (pow.f32 (exp.f32 (PI.f32)) (log.f32 (neg.f32 alpha))) (pow.f32 (exp.f32 (PI.f32)) (log.f32 (neg.f32 alpha))))
(.f32 (pow.f32 (.f32 alpha alpha) (cosh.f32 (log.f32 (PI.f32)))) (pow.f32 (*.f32 alpha alpha) (sinh.f32 (log.f32 (PI.f32)))))
(*.f32 (neg.f32 (pow.f32 alpha (PI.f32))) (neg.f32 (pow.f32 alpha (PI.f32))))
(.f32 (pow.f32 (pow.f32 alpha (PI.f32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 alpha #s(literal 3 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (.f32 (neg.f32 alpha) #s(literal 1 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(.f32 (pow.f32 alpha (PI.f32)) (pow.f32 (.f32 (neg.f32 alpha) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))))
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eval145.0ms (0.8%)

Memory: 24.6MiB live, 339.5MiB allocated
Compiler: Compiled 53 048 to 4 736 computations (91.1% saved)

prune47.0ms (0.3%)

Memory

14.3MiB live, 131.7MiB allocated

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1 285	20	1 305
Fresh	1	10	11
Picked	4	1	5
Done	0	1	1
Total	1 290	32	1 322

Accuracy

99.9%

Counts

1 322 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	10.9%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.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 (.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))) #s(literal 1 binary32))) (.f32 (.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 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	72.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 alpha alpha) cosTheta (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
✓	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))))
	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (neg.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 #s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (cbrt.f32 (PI.f32))))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	71.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 cosTheta)) cosTheta))))
	73.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) cosTheta))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta))))
	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (neg.f32 (log.f32 (pow.f32 alpha (neg.f32 (PI.f32))))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	10.6%	(+.f32 (/.f32 (.f32 alpha alpha) (.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 #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)))))
	8.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	10.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	10.2%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
	10.4%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)))))
	9.3%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
	9.2%	#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))))
	68.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
▶	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	8.9%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
	68.3%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	95.8%	#s(approx (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))

Compiler

Compiled 2 022 to 1 200 computations (40.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize126.0ms (0.7%)

Memory

1.5MiB live, 242.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34375	(/.f32 (.f32 alpha alpha) (.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))))
accuracy	0.418632519536884	(.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)))
accuracy	1.107860406378909	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	10.599845671316373	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	0.140625	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28125	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.38671875	(.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32)))
accuracy	0.4606437988422101	(.f32 (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy	0.109375	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.140625	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28125	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	0.410820019536884	(*.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha))
accuracy	0.26953125	(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))
accuracy	0.410820019536884	(*.f32 (log.f32 alpha) (PI.f32))
accuracy	1.0024450091292254	#s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))
accuracy	10.203148662137453	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
accuracy	0.109375	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.140625	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28125	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	3.1320362532381743	(pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))

Samples

89.0ms

256×

valid

Compiler

Compiled 1 021 to 108 computations (89.4% saved)

Precisions

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

ival-mult: 31.0ms (44.2% of total)

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

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

ival-add: 6.0ms (8.6% of total)

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

ival-sqrt: 3.0ms (4.3% of total)

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

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

exact: 1.0ms (1.4% of total)

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

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

series118.0ms (0.7%)

Memory

-7.9MiB live, 147.7MiB allocated

Counts

17 → 115

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
40.0ms	alpha	@	inf	((pow alpha (+ (PI) (PI))) (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (* (log alpha) (PI)) (/ -1/2 (* (log alpha) (PI))) (* (+ (PI) (PI)) (log alpha)) (/ (- (* alpha alpha) 1) (* (* (+ (PI) (PI)) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (* (* 2 (log alpha)) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (/ (* alpha alpha) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))))
34.0ms	alpha	@	0	((pow alpha (+ (PI) (PI))) (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (* (log alpha) (PI)) (/ -1/2 (* (log alpha) (PI))) (* (+ (PI) (PI)) (log alpha)) (/ (- (* alpha alpha) 1) (* (* (+ (PI) (PI)) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (* (* 2 (log alpha)) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (/ (* alpha alpha) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))))
20.0ms	alpha	@	-inf	((pow alpha (+ (PI) (PI))) (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (* (log alpha) (PI)) (/ -1/2 (* (log alpha) (PI))) (* (+ (PI) (PI)) (log alpha)) (/ (- (* alpha alpha) 1) (* (* (+ (PI) (PI)) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (* (* 2 (log alpha)) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (/ (* alpha alpha) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))))
10.0ms	cosTheta	@	0	((pow alpha (+ (PI) (PI))) (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (* (log alpha) (PI)) (/ -1/2 (* (log alpha) (PI))) (* (+ (PI) (PI)) (log alpha)) (/ (- (* alpha alpha) 1) (* (* (+ (PI) (PI)) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (* (* 2 (log alpha)) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (/ (* alpha alpha) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))))
6.0ms	cosTheta	@	inf	((pow alpha (+ (PI) (PI))) (/ (- (* alpha alpha) 1) (* (log (pow alpha (+ (PI) (PI)))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (* (log alpha) (PI)) (/ -1/2 (* (log alpha) (PI))) (* (+ (PI) (PI)) (log alpha)) (/ (- (* alpha alpha) 1) (* (* (+ (PI) (PI)) (log alpha)) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (* (* 2 (log alpha)) (sqrt (PI))) (/ (- (* alpha alpha) 1) (* (* (* (* 2 (log alpha)) (sqrt (PI))) (sqrt (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha))) (/ (* alpha alpha) (* (* (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (PI)) (log (* alpha alpha)))))

simplify205.0ms (1.2%)

Memory

-6.6MiB live, 232.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	527	4541
1	1868	4204
0	8990	4072

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 115

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

rewrite236.0ms (1.4%)

Memory

3.5MiB live, 481.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	242
0	87	216
1	357	216
2	2771	188
0	9011	186

Stop Event

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

Counts

17 → 2 795

Calls

Call 1

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

Outputs
(*.f32 (neg.f32 (neg.f32 (pow.f32 alpha (PI.f32)))) (neg.f32 (neg.f32 (pow.f32 alpha (PI.f32)))))
(*.f32 (neg.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))) (neg.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (neg.f32 (exp.f32 (PI.f32))) (neg.f32 (exp.f32 (PI.f32))))
(*.f32 (fabs.f32 (exp.f32 (PI.f32))) (fabs.f32 (exp.f32 (PI.f32))))
(*.f32 (fabs.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 alpha (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (exp.f32 (/.f32 (PI.f32) #s(literal 2 binary32))) (exp.f32 (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (exp.f32 (.f32 (log.f32 alpha) #s(literal 0 binary32))) (pow.f32 alpha (PI.f32)))
(.f32 (exp.f32 (.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 0 binary32))) (pow.f32 alpha (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 alpha)) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (neg.f32 (neg.f32 alpha)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (pow.f32 (neg.f32 alpha) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (.f32 (neg.f32 alpha) #s(literal 1 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
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eval553.0ms (3.2%)

Memory: 21.4MiB live, 411.1MiB allocated
Compiler: Compiled 81 438 to 6 953 computations (91.5% saved)

prune265.0ms (1.5%)

Memory

-34.3MiB live, 259.4MiB allocated

Pruning

91 alts after pruning (86 fresh and 5 done)

	Pruned	Kept	Total
New	1 704	67	1 771
Fresh	6	19	25
Picked	2	3	5
Done	0	2	2
Total	1 712	91	1 803

Accuracy

99.9%

Counts

1 803 → 91

Alt Table

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Status	Accuracy	Program
	3.3%	(fma.f32 (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) alpha (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) alpha (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 alpha alpha) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 alpha alpha) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (/.f32 (neg.f32 alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (neg.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (/.f32 (neg.f32 alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (neg.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (.f32 alpha alpha) (/.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (.f32 alpha alpha) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
▶	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (neg.f32 alpha) (.f32 (neg.f32 alpha) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 alpha (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 #s(literal 1 binary32) (.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 #s(literal 1 binary32) (.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	3.3%	(/.f32 (-.f32 (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32)))
	9.7%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.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 (.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))) #s(literal 1 binary32))) (.f32 (.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 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	3.3%	(/.f32 (-.f32 (.f32 (neg.f32 alpha) alpha) #s(literal -1 binary32)) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	70.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 cosTheta)) cosTheta))))
	73.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) cosTheta))))
	83.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	95.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta))))
	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	72.5%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 alpha alpha) cosTheta (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
✓	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))))
▶	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal -2 binary32)) (neg.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 #s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (cbrt.f32 (PI.f32))))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (neg.f32 (log.f32 (pow.f32 alpha (neg.f32 (PI.f32))))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
▶	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	9.3%	(+.f32 (/.f32 (.f32 alpha alpha) (.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 #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)))))
	3.2%	(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	3.3%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))
	3.3%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	8.1%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	10.3%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	10.9%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
	10.0%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)))))
	3.3%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	11.1%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
	9.2%	#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))))
	68.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 8 binary32) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32)))))
▶	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (PI.f32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 1 binary32) (PI.f32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (PI.f32))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (PI.f32) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)) (PI.f32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))) #s(literal -2 binary32)) (.f32 #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))))
	3.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -2 binary32)) (.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)))))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32) (PI.f32)) #s(literal 1 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)))))))
	19.7%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (PI.f32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (+.f32 (PI.f32) (PI.f32)))))
	28.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)))))
	25.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
✓	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))))
▶	3.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32))))
	68.3%	#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
	95.8%	#s(approx (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))

Compiler

Compiled 6 525 to 3 893 computations (40.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize188.0ms (1.1%)

Memory

0.0MiB live, 155.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta)
accuracy	0.28125	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
accuracy	0.410820019536884	(.f32 (PI.f32) (log.f32 (.f32 alpha alpha)))
accuracy	10.237289193629557	#s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta))
accuracy	0.30859375	(/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
accuracy	1.0151640543114495	(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))
accuracy	10.005779984871511	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
accuracy	10.599845671316373	(fma.f32 alpha alpha #s(literal -1 binary32))
accuracy	0.0	(PI.f32)
accuracy	10.203148662137453	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32)))))
accuracy	27.27082778810732	(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32))
accuracy	30.940962846483977	#s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32))))
accuracy	0.0	(*.f32 #s(literal 2 binary32) (PI.f32))
accuracy	0.0	(PI.f32)
accuracy	10.203148662137453	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32))))
accuracy	30.97173438385239	#s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32)))
accuracy	0.109375	(.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)
accuracy	0.140625	(.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)
accuracy	0.28125	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
accuracy	2.340760799163041	(pow.f32 alpha (PI.f32))

Samples

111.0ms

256×

valid

Compiler

Compiled 935 to 109 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 23.0ms (34.7% of total)

ival-pow: 14.0ms (21.1% of total)

ival-div: 8.0ms (12.1% of total)

ival-log: 7.0ms (10.6% of total)

ival-add: 6.0ms (9.1% of total)

ival-neg: 3.0ms (4.5% of total)

ival-sqrt: 2.0ms (3% of total)

ival-pi: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% of total)

exact: 1.0ms (1.5% of total)

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

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

series114.0ms (0.7%)

Memory

21.0MiB live, 137.0MiB allocated

Counts

19 → 92

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	alpha	@	-inf	((pow alpha (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (PI) (* 2 (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (+ (* (neg (sqrt (PI))) (neg (sqrt (PI)))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (neg alpha) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (/ -1 (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (* (- (* alpha alpha) 1) cosTheta) (* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
30.0ms	alpha	@	inf	((pow alpha (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (PI) (* 2 (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (+ (* (neg (sqrt (PI))) (neg (sqrt (PI)))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (neg alpha) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (/ -1 (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (* (- (* alpha alpha) 1) cosTheta) (* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
28.0ms	alpha	@	0	((pow alpha (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (PI) (* 2 (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (+ (* (neg (sqrt (PI))) (neg (sqrt (PI)))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (neg alpha) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (/ -1 (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (* (- (* alpha alpha) 1) cosTheta) (* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
7.0ms	cosTheta	@	inf	((pow alpha (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (PI) (* 2 (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (+ (* (neg (sqrt (PI))) (neg (sqrt (PI)))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (neg alpha) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (/ -1 (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (* (- (* alpha alpha) 1) cosTheta) (* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))
4.0ms	cosTheta	@	0	((pow alpha (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (PI) (* 2 (PI)) (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (+ (* (neg (sqrt (PI))) (neg (sqrt (PI)))) (PI)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* alpha alpha) -1) (+ (* (neg alpha) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (/ -1 (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (* (- (* alpha alpha) 1) cosTheta) (* (PI) (log (* alpha alpha))) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))

simplify246.0ms (1.4%)

Memory

-10.5MiB live, 230.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	3614
1	1658	3427
2	7981	3427
0	8028	3253

Stop Event

1×	iter limit
1×	node limit

Counts

92 → 92

Calls

Call 1

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

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

rewrite239.0ms (1.4%)

Memory

-6.4MiB live, 195.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	312
0	100	280
1	403	185
2	4318	107
0	9462	107

Stop Event

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

Counts

19 → 991

Calls

Call 1

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

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

eval89.0ms (0.5%)

Memory: 11.2MiB live, 204.1MiB allocated
Compiler: Compiled 29 602 to 2 649 computations (91.1% saved)

prune179.0ms (1%)

Memory

-6.1MiB live, 234.7MiB allocated

Pruning

124 alts after pruning (118 fresh and 6 done)

	Pruned	Kept	Total
New	725	80	805
Fresh	43	38	81
Picked	4	1	5
Done	0	5	5
Total	772	124	896

Accuracy

99.9%

Counts

896 → 124

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.0%	(fma.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32) (PI.f32))
	3.3%	(fma.f32 (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) alpha (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) alpha (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	20.0%	(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32))
	3.3%	(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 alpha alpha) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(fma.f32 (/.f32 (neg.f32 alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (neg.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	20.0%	(fma.f32 (/.f32 alpha (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) alpha) (PI.f32))
	3.3%	(fma.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (/.f32 alpha #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) #s(approx (/ 1/2 ( (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))))
	20.0%	(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (PI.f32))
	20.0%	(fma.f32 (.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal -1 binary32)) (PI.f32) (PI.f32))
	20.0%	(fma.f32 (.f32 (.f32 (PI.f32) alpha) #s(literal -1 binary32)) alpha (PI.f32))
	20.0%	(fma.f32 (.f32 (PI.f32) alpha) (/.f32 alpha (fma.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32))
	20.0%	(fma.f32 (.f32 (PI.f32) alpha) (.f32 (PI.f32) alpha) (PI.f32))
	20.0%	(fma.f32 (*.f32 (PI.f32) alpha) alpha (PI.f32))
	3.2%	(fma.f32 (.f32 alpha alpha) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (-.f32 (PI.f32) (/.f32 alpha #s(literal 2 binary32))) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (.f32 (PI.f32) alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (.f32 (PI.f32) alpha) (neg.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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ (* alpha alpha) -1) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (neg.f32 (.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta))))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) #s(approx (+ ( (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ ( alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ ( alpha alpha) -1) (.f32 alpha alpha))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ ( alpha alpha) -1) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (.f32 alpha alpha))))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) alpha) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (/.f32 #s(literal -1 binary32) (/.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (.f32 (.f32 (PI.f32) alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (.f32 (PI.f32) alpha) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 (neg.f32 alpha) #s(approx (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) alpha) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) alpha)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	20.0%	(fma.f32 (fabs.f32 (.f32 (PI.f32) alpha)) (fabs.f32 (.f32 (PI.f32) alpha)) (PI.f32))
	20.0%	(fma.f32 (PI.f32) (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
	3.3%	(fma.f32 alpha (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.3%	(fma.f32 alpha (/.f32 alpha (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) #s(approx (/ 1/2 ( (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))))
	20.0%	(fma.f32 alpha (*.f32 (PI.f32) alpha) (PI.f32))
	3.3%	(fma.f32 #s(literal 1 binary32) (.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	23.8%	(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
	3.3%	(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
	26.6%	(/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (PI.f32))
	22.8%	(/.f32 (-.f32 (.f32 (/.f32 #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 (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 (*.f32 alpha alpha) (PI.f32))) (PI.f32))
	3.2%	(/.f32 (-.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)) (.f32 (PI.f32) (.f32 alpha alpha))) (PI.f32))
	19.9%	(/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (neg.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)) (neg.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	3.2%	(/.f32 (-.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))) (PI.f32)) (.f32 (PI.f32) (/.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))))
	10.8%	(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.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 (.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))) #s(literal 1 binary32))) (.f32 (.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 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (.f32 alpha alpha)))))
	3.2%	(/.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 (/.f32 (PI.f32) alpha) #s(literal 1 binary32))) (.f32 (/.f32 (PI.f32) alpha) (/.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (log.f32 (.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	70.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 cosTheta)) cosTheta))))
✓	98.4%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.2%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	96.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
✓	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))))
✓	97.3%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	97.9%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal -2 binary32)) (neg.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
✓	98.8%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	98.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 #s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.7%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (cbrt.f32 (PI.f32))))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
	97.6%	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
	25.6%	(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (PI.f32))
	24.0%	(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (/.f32 (PI.f32) alpha)) (.f32 (PI.f32) alpha)) (*.f32 (PI.f32) (/.f32 (PI.f32) alpha)))
	25.1%	(/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) alpha)) (.f32 (PI.f32) alpha)) (*.f32 (PI.f32) (/.f32 (PI.f32) alpha)))
	21.5%	(/.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (.f32 alpha alpha))) (PI.f32))
	23.9%	(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
	25.8%	(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
	25.1%	(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (PI.f32))
	3.5%	(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (neg.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	20.4%	(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
	19.1%	(/.f32 (*.f32 alpha alpha) (PI.f32))
	3.3%	(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (PI.f32))
	19.1%	(/.f32 (fabs.f32 (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (PI.f32))
	21.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (.f32 (.f32 alpha alpha) (PI.f32))))
	20.1%	(-.f32 (PI.f32) (.f32 (.f32 alpha alpha) (PI.f32)))
✓	10.8%	(+.f32 (/.f32 (.f32 alpha alpha) (.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 #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)))))
	19.9%	(*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
	3.2%	(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	7.7%	(.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) alpha)) #s(literal -1 binary32)) (pow.f32 (/.f32 (.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (-.f32 alpha #s(literal 1 binary32))) #s(literal -1 binary32)))
	95.3%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
	7.6%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
	10.4%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
	95.2%	(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
	20.7%	(.f32 (/.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) alpha))
	9.9%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
	10.3%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)))))
	9.4%	(.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
	21.3%	(.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32))
	21.3%	(.f32 (.f32 (PI.f32) alpha) (*.f32 (PI.f32) alpha))
	21.0%	(.f32 (.f32 (PI.f32) alpha) alpha)
	21.0%	(.f32 (.f32 alpha alpha) (PI.f32))
	21.0%	(.f32 (fabs.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (fabs.f32 (*.f32 (PI.f32) alpha)))
	20.8%	(sqrt.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))
	9.2%	#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))))
	68.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (log.f32 alpha)))
	68.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal 0 binary32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (PI.f32)))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))))
	3.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))))
	1.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)))))
	3.2%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -2 binary32)) (.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)))))))
	28.4%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)))))
✓	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
	67.3%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))))
	20.0%	#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))
	95.8%	#s(approx (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
	3.3%	#s(approx (+ (* (neg alpha) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (/ -1 (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(literal 1/2 binary32))))

Compiler

Compiled 9 024 to 2 760 computations (69.4% saved)

regimes287.0ms (1.7%)

Memory

6.3MiB live, 197.6MiB allocated

Counts

184 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32))))
(.f32 (.f32 alpha alpha) (PI.f32))
(.f32 (.f32 (PI.f32) alpha) alpha)
(*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 alpha (*.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (*.f32 (PI.f32) alpha) alpha (PI.f32))
(fma.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32) (PI.f32))
(-.f32 (PI.f32) (.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 (PI.f32) alpha) (*.f32 (PI.f32) alpha))
(.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32))
(/.f32 (*.f32 alpha alpha) (PI.f32))
(fma.f32 (PI.f32) (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (.f32 (.f32 (PI.f32) alpha) #s(literal -1 binary32)) alpha (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (PI.f32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)) (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (fabs.f32 (.f32 (PI.f32) alpha)) (fabs.f32 (.f32 (PI.f32) alpha)) (PI.f32))
(.f32 (/.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) alpha))
(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal -1 binary32)) (PI.f32) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 8 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (PI.f32) (.f32 (PI.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32) (PI.f32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
(/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (/.f32 alpha (fma.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32))
(fma.f32 (/.f32 alpha (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) alpha) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (.f32 (.f32 alpha alpha) (PI.f32))))
(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (neg.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)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32)))))
(.f32 (fabs.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (fabs.f32 (*.f32 (PI.f32) alpha)))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 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)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (PI.f32)))))
(/.f32 (fabs.f32 (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (PI.f32))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 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)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -2 binary32)) (.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)))))))
(/.f32 (-.f32 (.f32 (neg.f32 alpha) alpha) #s(literal -1 binary32)) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) alpha)) (.f32 (PI.f32) alpha)) (*.f32 (PI.f32) (/.f32 (PI.f32) alpha)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (/.f32 (PI.f32) alpha)) (.f32 (PI.f32) alpha)) (*.f32 (PI.f32) (/.f32 (PI.f32) alpha)))
(fma.f32 (neg.f32 alpha) (.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (.f32 (PI.f32) alpha) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 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)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 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 #s(literal 1 binary32) alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (neg.f32 alpha) (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (.f32 (.f32 (PI.f32) alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)) (.f32 (PI.f32) (.f32 alpha alpha))) (PI.f32))
(fma.f32 (neg.f32 alpha) (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 #s(literal -1 binary32) (/.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
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(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))) cosTheta #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
(sqrt.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (log.f32 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (log.f32 alpha)))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 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 (fma.f32 (.f32 alpha alpha) cosTheta (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 cosTheta)) cosTheta))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.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 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.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 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (neg.f32 (log.f32 (pow.f32 alpha (neg.f32 (PI.f32))))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32))))))
(+.f32 (/.f32 (.f32 alpha alpha) (.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 #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 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 alpha #s(literal -2 binary32)) (neg.f32 (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(.f32 (pow.f32 (/.f32 (PI.f32) (+.f32 #s(literal 1 binary32) alpha)) #s(literal -1 binary32)) (pow.f32 (/.f32 (.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (-.f32 alpha #s(literal 1 binary32))) #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) #s(literal -1 binary32)) (neg.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 (log.f32 #s(approx (pow (* alpha alpha) (PI)) (pow.f32 (pow.f32 (/.f32 #s(literal 1 binary32) alpha) (PI.f32)) #s(literal -2 binary32)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 #s(approx ( (log (* alpha alpha)) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (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 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (log.f32 (pow.f32 alpha (cbrt.f32 (PI.f32))))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 (.f32 alpha alpha) (.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 (.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))) #s(literal 1 binary32))) (.f32 (.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 (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 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 (pow.f32 (.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.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 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Calls

4 calls:

82.0ms	(/.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))))
74.0ms	cosTheta
55.0ms	alpha
49.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta`
98.8%	1	`alpha`
98.8%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.8%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes255.0ms (1.5%)

Memory

27.1MiB live, 188.3MiB allocated

Counts

169 → 1

Calls

Call 1

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

Outputs

(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 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:

70.0ms	cosTheta
68.0ms	(/.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))))
62.0ms	(*.f32 alpha alpha)
48.0ms	alpha

Results

Accuracy	Segments	Branch
98.8%	1	`cosTheta`
98.8%	1	`alpha`
98.8%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
98.8%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes252.0ms (1.5%)

Memory

-9.7MiB live, 186.4MiB allocated

Counts

167 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32))))
(.f32 (.f32 alpha alpha) (PI.f32))
(.f32 (.f32 (PI.f32) alpha) alpha)
(*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 alpha (*.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (*.f32 (PI.f32) alpha) alpha (PI.f32))
(fma.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32) (PI.f32))
(-.f32 (PI.f32) (.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 (PI.f32) alpha) (*.f32 (PI.f32) alpha))
(.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32))
(/.f32 (*.f32 alpha alpha) (PI.f32))
(fma.f32 (PI.f32) (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (.f32 (.f32 (PI.f32) alpha) #s(literal -1 binary32)) alpha (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (PI.f32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)) (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (fabs.f32 (.f32 (PI.f32) alpha)) (fabs.f32 (.f32 (PI.f32) alpha)) (PI.f32))
(.f32 (/.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) alpha))
(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal -1 binary32)) (PI.f32) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 8 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (PI.f32) (.f32 (PI.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32) (PI.f32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
(/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (/.f32 alpha (fma.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32))
(fma.f32 (/.f32 alpha (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (*.f32 (PI.f32) alpha) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32)) (.f32 (.f32 alpha alpha) (PI.f32))))
(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (neg.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)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32)))))
(.f32 (fabs.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (fabs.f32 (*.f32 (PI.f32) alpha)))
(fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32))
(.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (.f32 (.f32 #s(literal 2 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)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (PI.f32)))))
(/.f32 (fabs.f32 (/.f32 (.f32 alpha alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (PI.f32))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (.f32 #s(literal 2 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)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (.f32 #s(literal 2 binary32) (PI.f32))) (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -2 binary32)) (.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)))))))
(/.f32 (-.f32 (.f32 (neg.f32 alpha) alpha) #s(literal -1 binary32)) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (PI.f32))))
(/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) alpha)) (.f32 (PI.f32) alpha)) (*.f32 (PI.f32) (/.f32 (PI.f32) alpha)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (/.f32 (PI.f32) alpha)) (.f32 (PI.f32) alpha)) (*.f32 (PI.f32) (/.f32 (PI.f32) alpha)))
(fma.f32 (neg.f32 alpha) (.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (.f32 (PI.f32) alpha) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 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)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 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 #s(literal 1 binary32) alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (neg.f32 alpha) (.f32 #s(literal -1/2 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (.f32 (.f32 (PI.f32) alpha) (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (PI.f32)) (.f32 (PI.f32) (.f32 alpha alpha))) (PI.f32))
(fma.f32 (neg.f32 alpha) (/.f32 alpha (PI.f32)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 #s(literal -1 binary32) (/.f32 (PI.f32) alpha)) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
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(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))) cosTheta #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
(sqrt.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (log.f32 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (log.f32 alpha)))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 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 (fma.f32 (.f32 alpha alpha) cosTheta (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 cosTheta (neg.f32 alpha)) (neg.f32 alpha) (neg.f32 cosTheta)) cosTheta))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (log.f32 (.f32 alpha alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (.f32 (log.f32 (.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.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 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))))
#s(approx (/ (neg (+ (* alpha alpha) -1)) (* (neg (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (log (pow (* alpha alpha) (PI))))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 alpha alpha))) (log.f32 (pow.f32 (.f32 alpha alpha) (PI.f32)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (log.f32 (pow.f32 alpha (+.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (log.f32 (pow.f32 alpha (PI.f32))) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (log.f32 (pow.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))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Calls

4 calls:

74.0ms	(/.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))))
64.0ms	alpha
55.0ms	cosTheta
53.0ms	(*.f32 alpha 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)

regimes304.0ms (1.7%)

Memory

-17.8MiB live, 311.7MiB allocated

Counts

154 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32))))
(.f32 (.f32 alpha alpha) (PI.f32))
(.f32 (.f32 (PI.f32) alpha) alpha)
(*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 alpha (*.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (*.f32 (PI.f32) alpha) alpha (PI.f32))
(fma.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32) (PI.f32))
(-.f32 (PI.f32) (.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 (PI.f32) alpha) (*.f32 (PI.f32) alpha))
(.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32))
(/.f32 (*.f32 alpha alpha) (PI.f32))
(fma.f32 (PI.f32) (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (.f32 (.f32 (PI.f32) alpha) #s(literal -1 binary32)) alpha (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (PI.f32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)) (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (fabs.f32 (.f32 (PI.f32) alpha)) (fabs.f32 (.f32 (PI.f32) alpha)) (PI.f32))
(.f32 (/.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) alpha))
(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal -1 binary32)) (PI.f32) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 8 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (PI.f32) (.f32 (PI.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32) (PI.f32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
(/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (/.f32 alpha (fma.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta #s(literal 1 binary32))) (PI.f32))
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(fma.f32 (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) alpha (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (neg.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)) (neg.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) #s(approx (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) alpha) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) alpha)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (neg.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (neg.f32 (.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta))))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (neg.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
#s(approx (+ (* (neg alpha) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (/ -1 (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(literal 1/2 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 (/.f32 (PI.f32) alpha) #s(literal 1 binary32))) (.f32 (/.f32 (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 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (.f32 alpha alpha))))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ ( alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))) cosTheta #s(literal 1 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))))
(sqrt.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)) (PI.f32))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal -1/2 binary32) (log.f32 alpha)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal -1/2 binary32) (log.f32 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))))
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (log.f32 alpha))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) (PI.f32))) (log.f32 alpha)))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (neg.f32 cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 #s(approx (* (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 #s(approx ( (- (* alpha alpha) 1) cosTheta) (.f32 (.f32 alpha alpha) cosTheta)) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (+.f32 (PI.f32) (PI.f32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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 #s(literal 1 binary32) alpha) (/.f32 (-.f32 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)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 #s(approx (* (PI) (log (* alpha alpha))) (.f32 (.f32 (log.f32 alpha) (PI.f32)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) cosTheta))))

Outputs

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

Calls

4 calls:

141.0ms	(/.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))))
66.0ms	(*.f32 alpha alpha)
51.0ms	alpha
38.0ms	cosTheta

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)

regimes162.0ms (0.9%)

Memory

9.8MiB live, 284.5MiB allocated

Counts

148 → 1

Calls

Call 1

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

Calls

4 calls:

41.0ms	alpha
40.0ms	cosTheta
38.0ms	(*.f32 alpha alpha)
37.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
97.3%	1	`cosTheta`
97.3%	1	`alpha`
97.3%	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))))`
97.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes161.0ms (0.9%)

Memory

-1.9MiB live, 352.9MiB allocated

Counts

144 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

41.0ms	alpha
38.0ms	(*.f32 alpha alpha)
37.0ms	(/.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))))
37.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.2%	1	`cosTheta`
97.2%	1	`alpha`
97.2%	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))))`
97.2%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes152.0ms (0.9%)

Memory

30.7MiB live, 343.8MiB allocated

Counts

142 → 1

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	alpha
37.0ms	(*.f32 alpha alpha)
36.0ms	cosTheta
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))))

Results

Accuracy	Segments	Branch
95.3%	1	`cosTheta`
95.3%	1	`alpha`
95.3%	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))))`
95.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes160.0ms (0.9%)

Memory

5.2MiB live, 280.8MiB allocated

Counts

141 → 1

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	alpha
39.0ms	(/.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))))
39.0ms	cosTheta
36.0ms	(*.f32 alpha alpha)

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)

regimes158.0ms (0.9%)

Memory

-5.0MiB live, 268.8MiB allocated

Counts

140 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
68.3%	1	`cosTheta`
68.3%	1	`alpha`
68.3%	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))))`
68.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes176.0ms (1%)

Memory

20.3MiB live, 299.8MiB allocated

Counts

138 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

49.0ms	cosTheta
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))))
39.0ms	(*.f32 alpha alpha)
36.0ms	alpha

Results

Accuracy	Segments	Branch
68.2%	1	`cosTheta`
68.2%	1	`alpha`
68.2%	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))))`
68.2%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes179.0ms (1%)

Memory

-28.8MiB live, 407.6MiB allocated

Counts

134 → 1

Calls

Call 1

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

Calls

4 calls:

59.0ms	alpha
37.0ms	cosTheta
37.0ms	(*.f32 alpha 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))))

Results

Accuracy	Segments	Branch
67.3%	1	`cosTheta`
67.3%	1	`alpha`
67.3%	1	`(*.f32 alpha alpha)`
67.3%	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))))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes197.0ms (1.1%)

Memory

-14.4MiB live, 214.8MiB allocated

Counts

129 → 1

Calls

Call 1

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

Calls

4 calls:

78.0ms	alpha
48.0ms	cosTheta
33.0ms	(*.f32 alpha alpha)
32.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
67.3%	1	`cosTheta`
67.3%	1	`alpha`
67.3%	1	`(*.f32 alpha alpha)`
67.3%	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))))`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes140.0ms (0.8%)

Memory

17.2MiB live, 211.6MiB allocated

Counts

126 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32))))
(.f32 (.f32 alpha alpha) (PI.f32))
(.f32 (.f32 (PI.f32) alpha) alpha)
(*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 alpha (*.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (*.f32 (PI.f32) alpha) alpha (PI.f32))
(fma.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32) (PI.f32))
(-.f32 (PI.f32) (.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 (PI.f32) alpha) (*.f32 (PI.f32) alpha))
(.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32))
(/.f32 (*.f32 alpha alpha) (PI.f32))
(fma.f32 (PI.f32) (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (.f32 (.f32 (PI.f32) alpha) #s(literal -1 binary32)) alpha (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (PI.f32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)) (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (fabs.f32 (.f32 (PI.f32) alpha)) (fabs.f32 (.f32 (PI.f32) alpha)) (PI.f32))
(.f32 (/.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) alpha))
(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal -1 binary32)) (PI.f32) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 8 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (PI.f32) (.f32 (PI.f32) (.f32 alpha alpha))) (PI.f32))
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(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 alpha (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (+.f32 (.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)))))
(fma.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (/.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) alpha (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (neg.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)) (neg.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) #s(approx (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1))) (/.f32 (fma.f32 (.f32 (.f32 (.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) alpha) #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) alpha)) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (neg.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (+.f32 #s(literal 1 binary32) (neg.f32 (.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) cosTheta) cosTheta))))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 #s(literal 1 binary32) (.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (.f32 (-.f32 alpha #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (/.f32 (neg.f32 alpha) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 (neg.f32 alpha) (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (.f32 (/.f32 alpha (.f32 #s(literal 2 binary32) (PI.f32))) (/.f32 alpha (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
#s(approx (+ (* (neg alpha) (/ (neg alpha) (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (/ -1 (* (* 2 (PI)) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 alpha alpha) (PI.f32))))) (.f32 cosTheta cosTheta) (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) #s(literal 1/2 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 (/.f32 (PI.f32) alpha) #s(literal 1 binary32))) (.f32 (/.f32 (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 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(approx (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1) (.f32 (fma.f32 cosTheta cosTheta (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta cosTheta)) alpha) alpha)) (.f32 alpha alpha))))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ ( alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
(fma.f32 (neg.f32 alpha) (/.f32 (neg.f32 alpha) (.f32 (.f32 #s(literal 2 binary32) (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 #s(literal 2 binary32) (PI.f32)) (fma.f32 (.f32 cosTheta #s(approx (+ (* alpha alpha) -1) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha))) cosTheta #s(literal 1 binary32)))))

Outputs
(/.f32 (-.f32 (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32)) #s(literal -1/2 binary32)) (PI.f32))

Calls

4 calls:

37.0ms	cosTheta
35.0ms	(/.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))))
32.0ms	alpha
31.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
26.6%	1	`cosTheta`
26.6%	1	`alpha`
26.6%	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))))`
26.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes68.0ms (0.4%)

Memory

-26.0MiB live, 92.3MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32))))
(.f32 (.f32 alpha alpha) (PI.f32))
(.f32 (.f32 (PI.f32) alpha) alpha)
(*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 alpha (*.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (*.f32 (PI.f32) alpha) alpha (PI.f32))
(fma.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32) (PI.f32))
(-.f32 (PI.f32) (.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 (PI.f32) alpha) (*.f32 (PI.f32) alpha))
(.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32))
(/.f32 (*.f32 alpha alpha) (PI.f32))
(fma.f32 (PI.f32) (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (.f32 (.f32 (PI.f32) alpha) #s(literal -1 binary32)) alpha (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (PI.f32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)) (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (fabs.f32 (.f32 (PI.f32) alpha)) (fabs.f32 (.f32 (PI.f32) alpha)) (PI.f32))
(.f32 (/.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) alpha))
(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal -1 binary32)) (PI.f32) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 8 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (PI.f32) (.f32 (PI.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32) (PI.f32)) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))

Outputs
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alpha alpha) #s(literal 2 binary32))) (PI.f32))

Calls

4 calls:

26.0ms	(*.f32 alpha alpha)
15.0ms	cosTheta
14.0ms	alpha
11.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))

Results

Accuracy	Segments	Branch
25.8%	1	`cosTheta`
25.8%	1	`alpha`
25.8%	1	`(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))`
25.8%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes93.0ms (0.5%)

Memory

11.1MiB live, 86.6MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (PI.f32)))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal -1/2 binary32))))
(.f32 (.f32 alpha alpha) (PI.f32))
(.f32 (.f32 (PI.f32) alpha) alpha)
(*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 alpha (*.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (*.f32 (PI.f32) alpha) alpha (PI.f32))
(fma.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32) (PI.f32))
(-.f32 (PI.f32) (.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (+.f32 (PI.f32) (PI.f32)))))
(.f32 (.f32 (PI.f32) alpha) (*.f32 (PI.f32) alpha))
(.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) (PI.f32))
(/.f32 (*.f32 alpha alpha) (PI.f32))
(fma.f32 (PI.f32) (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (PI.f32) alpha) (.f32 (PI.f32) alpha) (PI.f32))
(fma.f32 (.f32 (.f32 (PI.f32) alpha) #s(literal -1 binary32)) alpha (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (PI.f32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) #s(literal 0 binary32)))))
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32))
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (PI.f32)) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)) (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))) (PI.f32))
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (PI.f32))
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (PI.f32))
(fma.f32 (fabs.f32 (.f32 (PI.f32) alpha)) (fabs.f32 (.f32 (PI.f32) alpha)) (PI.f32))
(.f32 (/.f32 alpha #s(literal 2 binary32)) (.f32 (PI.f32) alpha))
(/.f32 (.f32 (.f32 alpha alpha) (PI.f32)) (PI.f32))
(fma.f32 (.f32 (.f32 (*.f32 alpha alpha) (PI.f32)) #s(literal -1 binary32)) (PI.f32) (PI.f32))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 8 binary32) #s(literal 0 binary32)))))
(/.f32 (-.f32 (PI.f32) (.f32 (PI.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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #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 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 0 binary32)))))
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ 1/2 (* (+ (* cosTheta cosTheta) -1) (* (log alpha) (PI)))) (/.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32) (PI.f32)) #s(literal 1 binary32)))))

Outputs
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (PI.f32))

Calls

4 calls:

57.0ms	cosTheta
12.0ms	(/.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))))
11.0ms	(*.f32 alpha alpha)
11.0ms	alpha

Results

Accuracy	Segments	Branch
25.6%	1	`cosTheta`
25.6%	1	`alpha`
25.6%	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))))`
25.6%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes32.0ms (0.2%)

Memory

8.5MiB live, 46.8MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs
(/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (PI.f32))

Calls

4 calls:

11.0ms	(/.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))))
7.0ms	cosTheta
7.0ms	(*.f32 alpha alpha)
7.0ms	alpha

Results

Accuracy	Segments	Branch
25.1%	1	`alpha`
25.1%	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))))`
25.1%	1	`(*.f32 alpha alpha)`
25.1%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes31.0ms (0.2%)

Memory

11.7MiB live, 52.5MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs
(/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (PI.f32))

Calls

4 calls:

11.0ms	(*.f32 alpha alpha)
7.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
6.0ms	cosTheta
6.0ms	alpha

Results

Accuracy	Segments	Branch
23.9%	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))))`
23.9%	1	`alpha`
23.9%	1	`(*.f32 alpha alpha)`
23.9%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes26.0ms (0.1%)

Memory

-21.3MiB live, 54.8MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs
(.f32 (.f32 (PI.f32) alpha) (*.f32 (PI.f32) alpha))

Calls

4 calls:

7.0ms	(*.f32 alpha alpha)
6.0ms	cosTheta
6.0ms	(/.f32 (-.f32 (.f32 alpha alpha) #s(literal 1 binary32)) (.f32 (.f32 (PI.f32) (log.f32 (.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))
5.0ms	alpha

Results

Accuracy	Segments	Branch
21.3%	1	`cosTheta`
21.3%	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))))`
21.3%	1	`alpha`
21.3%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes14.0ms (0.1%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(.f32 (.f32 (PI.f32) alpha) alpha)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
21.0%	1	`cosTheta`
21.0%	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))))`
21.0%	1	`alpha`
21.0%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes10.0ms (0.1%)

Memory

-20.8MiB live, 16.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(*.f32 (*.f32 alpha alpha) (PI.f32))

Outputs
(.f32 (.f32 alpha alpha) (PI.f32))

Calls

4 calls:

4.0ms	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	cosTheta
2.0ms	(*.f32 alpha alpha)

Results

Accuracy	Segments	Branch
21.0%	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))))`
21.0%	1	`alpha`
21.0%	1	`(*.f32 alpha alpha)`
21.0%	1	`cosTheta`

Compiler

Compiled 29 to 20 computations (31% saved)

regimes6.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total -5.4b remaining (-20.9%)

Threshold costs -5.4b (-20.9%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
20.0%	1	`cosTheta`
20.0%	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))))`
20.0%	1	`alpha`
20.0%	1	`(*.f32 alpha alpha)`

Compiler

Compiled 29 to 20 computations (31% saved)

simplify113.0ms (0.7%)

Memory

-13.6MiB live, 72.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	434
1	153	434
2	213	434
3	315	434
4	510	434
5	711	434
6	844	434
7	1031	434
8	1341	434
9	1662	434
10	1933	434
11	2121	434
12	2247	434
13	2282	434
14	2292	434
15	2293	434
16	2297	434
17	2301	434

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness7.6s (43.8%)

Memory

23.9MiB live, 1 270.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	218
0	85	190
1	343	190
2	2517	190
0	8769	189
0	61	312
0	100	280
1	403	185
2	4318	107
0	9462	107
0	55	242
0	87	216
1	357	216
2	2771	188
0	9011	186
0	13	46
0	23	46
1	116	46
0	1068	41
0	399	3371
1	1321	3127
2	5785	2811
0	8827	2689
0	527	4541
1	1868	4204
0	8990	4072
0	185	1367
1	589	1317
2	2835	1182
0	8281	1125

Stop Event

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

Compiler

Compiled 1 975 to 737 computations (62.7% saved)

preprocess114.0ms (0.7%)

Memory

17.6MiB live, 174.3MiB allocated

Remove

(abs cosTheta)

(abs alpha)

Compiler

Compiled 1 972 to 850 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze58.0ms (0.3%)

sample1.6s (9.2%)

explain145.0ms (0.8%)

preprocess179.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize53.0ms (0.3%)

series115.0ms (0.7%)

simplify235.0ms (1.4%)

rewrite88.0ms (0.5%)

eval46.0ms (0.3%)

prune52.0ms (0.3%)

simplify0.0ms (0%)

localize362.0ms (2.1%)

series248.0ms (1.4%)

simplify439.0ms (2.5%)

rewrite304.0ms (1.8%)

eval145.0ms (0.8%)

prune47.0ms (0.3%)

simplify0.0ms (0%)

localize126.0ms (0.7%)

series118.0ms (0.7%)

simplify205.0ms (1.2%)

rewrite236.0ms (1.4%)

eval553.0ms (3.2%)

prune265.0ms (1.5%)

simplify0.0ms (0%)

localize188.0ms (1.1%)

series114.0ms (0.7%)

simplify246.0ms (1.4%)

rewrite239.0ms (1.4%)

eval89.0ms (0.5%)

prune179.0ms (1%)

regimes287.0ms (1.7%)

regimes255.0ms (1.5%)

regimes252.0ms (1.5%)

regimes304.0ms (1.7%)

regimes162.0ms (0.9%)

regimes161.0ms (0.9%)

regimes152.0ms (0.9%)

regimes160.0ms (0.9%)

regimes158.0ms (0.9%)

regimes176.0ms (1%)

regimes179.0ms (1%)

regimes197.0ms (1.1%)

regimes140.0ms (0.8%)

regimes68.0ms (0.4%)

regimes93.0ms (0.5%)

regimes32.0ms (0.2%)

regimes31.0ms (0.2%)

regimes26.0ms (0.1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

simplify113.0ms (0.7%)

soundness7.6s (43.8%)

preprocess114.0ms (0.7%)

end0.0ms (0%)

Profiling